This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most existing literature focuses on topology identification for networks with node dynamics modeled by single integrators or single-input single-output (SISO) systems. The goal of the current paper is to identify the topology of a more general class of heterogeneous networks, in which the dynamics of the nodes are modeled by general (possibly distinct) linear systems. Our two main contributions are the following. First, we establish conditions for topological identifiability, i.e., conditions under which the network topology can be uniquely reconstructed from measured data. We also specialize our results to homogeneous networks of SISO systems and we will see that such networks have quite particular identifiability properties. Secondly, we develop a topology identification method that reconstructs the network topology from input/output data. The solution of a generalized Sylvester equation will play an important role in our identification scheme.

In a multitype branching process, it is assumed that immigrants arrive according to a nonhomogeneous Poisson or a generalized Polya process (both processes are formulated as a nonhomogeneous birth process with an appropriate choice of transition intensities). We show that the renormalized numbers of objects of the various types alive at time $t$ for supercritical, critical, and subcritical cases jointly converge in distribution under those two different arrival processes. Furthermore, some transient moment analysis when there are only two types of particles is provided. AMS 2000 subject classifications: Primary 60J80, 60J85; secondary 60K10, 60K25, 90B15.

In this review paper, we survey Hardy type inequalities from the point of view of Folland and Stein's homogeneous groups. Particular attention is paid to Hardy type inequalities on stratified groups which give a special class of homogeneous groups. In this environment, the theory of Hardy type inequalities becomes intricately intertwined with the properties of sub-Laplacians and more general subelliptic partial differential equations. Particularly, we discuss the Badiale-Tarantello conjecture and a conjecture on the geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant.

We give a simple proof of the strong maximum principle for viscosity subsolutions of fully nonlinear elliptic PDEs on the form $$ F(x,u,Du,D^2u) = 0 $$ under suitable structure conditions on the equation allowing for non-Lipschitz growth in the gradient terms. In case of smooth boundaries, we also prove the Hopf lemma, the boundary Harnack inequality and that positive viscosity solutions vanishing on a portion of the boundary are comparable with the distance function near the boundary. Our results apply to weak solutions of an eigenvalue problem for the variable exponent $p$-Laplacian.

Let $Nge 2$ and $ hoin(0,1/N^2]$. The homogenous Cantor set $E$ is the self-similar set generated by the iterated function system

[

left{f_i(x)= ho x+frac{i(1- ho)}{N-1}: i=0,1,ldots, N-1 ight}.

]

Let $s=dim_H E$ be the Hausdorff dimension of $E$, and let $mu=mathcal H^s|_E$ be the $s$-dimensional Hausdorff measure restricted to $E$. In this paper we describe, for each $xin E$, the pointwise lower $s$-density $Theta_*^s(mu,x)$ and upper $s$-density $Theta^{*s}(mu, x)$ of $mu$ at $x$. This extends some early results of Feng et al. (2000). Furthermore, we determine two critical values $a_c$ and $b_c$ for the sets

[

E_*(a)=left{xin E: Theta_*^s(mu, x)ge a ight}quad extrm{and}quad E^*(b)=left{xin E: Theta^{*s}(mu, x)le b ight}

] respectively, such that $dim_H E_*(a)>0$ if and only if $a<a_c$, and that $dim_H E^*(b)>0$ if and only if $b>b_c$. We emphasize that both values $a_c$ and $b_c$ are related to the Thue-Morse type sequences, and our strategy to find them relies on ideas from open dynamics and techniques from combinatorics on words.

Image dehazing is an ill-posed problem that has been extensively studied in the recent years. The objective performance evaluation of the dehazing methods is one of the major obstacles due to the lacking of a reference dataset. While the synthetic datasets have shown important limitations, the few realistic datasets introduced recently assume homogeneous haze over the entire scene. Since in many real cases haze is not uniformly distributed we introduce NH-HAZE, a non-homogeneous realistic dataset with pairs of real hazy and corresponding haze-free images. This is the first non-homogeneous image dehazing dataset and contains 55 outdoor scenes. The non-homogeneous haze has been introduced in the scene using a professional haze generator that imitates the real conditions of hazy scenes. Additionally, this work presents an objective assessment of several state-of-the-art single image dehazing methods that were evaluated using NH-HAZE dataset.

This paper proposes a faceted information exploration model that supports coarse-grained and fine-grained focusing of geographic maps by offering a graphical representation of data attributes within interactive widgets. The proposed approach enables (i) a multi-category projection of long-lasting geographic maps, based on the proposal of efficient facets for data exploration in sparse and noisy datasets, and (ii) an interactive representation of the search context based on widgets that support data visualization, faceted exploration, category-based information hiding and transparency of results at the same time. The integration of our model with a semantic representation of geographical knowledge supports the exploration of information retrieved from heterogeneous data sources, such as Public Open Data and OpenStreetMap. We evaluated our model with users in the OnToMap collaborative Web GIS. The experimental results show that, when working on geographic maps populated with multiple data categories, it outperforms simple category-based map projection and traditional faceted search tools, such as checkboxes, in both user performance and experience.

This paper reviews the NTIRE 2020 Challenge on NonHomogeneous Dehazing of images (restoration of rich details in hazy image). We focus on the proposed solutions and their results evaluated on NH-Haze, a novel dataset consisting of 55 pairs of real haze free and nonhomogeneous hazy images recorded outdoor. NH-Haze is the first realistic nonhomogeneous haze dataset that provides ground truth images. The nonhomogeneous haze has been produced using a professional haze generator that imitates the real conditions of haze scenes. 168 participants registered in the challenge and 27 teams competed in the final testing phase. The proposed solutions gauge the state-of-the-art in image dehazing.

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design strategy proof mechanisms that place the facilities in a way to maximize the minimum utility among the agents. For $k=1$, if the agents' locations are known, we prove that the mechanism that places the facility on an optimal location is strategy proof. For $k geq 2$, we prove that there is no optimal strategy proof mechanism, deterministic or randomized, even when $k=2$ there are only two agents with known locations, and the facilities have to be placed on a line segment. We derive inapproximability bounds for deterministic and randomized strategy proof mechanisms. Finally, we focus on the line segment and provide strategy proof mechanisms that achieve constant approximation. All of our mechanisms are simple and communication efficient. As a byproduct we show that some of our mechanisms can be used to achieve constant factor approximations for other objectives as the social welfare and the happiness.

The invention relates to a method for preparing ring-halogenated N,N-dialkylbenzylamines and intermediates obtainable therefrom for preparing agrochemicals and pharmaceutically active ingredients.

A method for preparing 13C labeled plasmalogens as represented by Formula B: The method involves producing a 13C labeled cyclic plasmalogen precursor of Formula A: and conversion of the precursor to a plasmalogen of Formula B.

An aqueous dispersion includes particles at least partially encapsulated in a microgel where the microgel is prepared from a hyperbranched acrylic polymer. In addition, a method for making an aqueous dispersion includes: (1) mixing in an aqueous medium: (a) particles, (b) at least one ethylenically unsaturated monomer, and (c) a water-dispersible hyperbranched acrylic polymer having ethylenic unsaturation; and (2) polymerizing the at least one ethylenically unsaturated monomer and water-dispersible hyperbranched acrylic polymer having ethylenic unsaturation to at least partially encapsulate the particles in a microgel.

Compounds of the formula (I) or (I'), where R1 is a hydrogen atom or C1-C4-alkyl and R'1 is C1-C4-alkyl; X1 and X2 are each, independently of one another, a secondary phosphine group; R2 is hydrogen, R01R02R03Si—, C1-C18.acyl substituted by halogen, hydroxy, C1-C8-alkoxy or R04R05N—, -or R06—X01—C(O)—; R01, R02 and R03 are each, independently of one another, C1-C12-alkyl, unsubstituted or C1-C4-alkyl or C1-C4-alkoxy-substituted C6-C10-aryl or C7-C12-aralkyl; R04 and R05 are each, independently of one another, hydrogen, C1-C12-alkyl, C3-C8-cycloalkyl, C6-C10-aryl or C7-C12-aralkyl, or R04 and R05 together are trimethylene, tetramethylene, pentamethylene or 3-oxapcntylene; R06 is C1-C18-alkyl, unsubstituted or C1-C4-alkyl- or C1-C4-alkoxy-substituted C3-C8-cycloalkyl, C6-C10-aryl or C7-C12-aralkyl; X01 is —O— or —NH—; T is C6-C20-arylene; v is 0 or an integer from 1 to 4; and * denotes a mixture of racemic or enantiomerically pure diastereomers or pure racemic or enantiomerically diastereomers, are excellent chiral ligands for metal complexes as enantioselective catalysts for the hydrogenation of prochiral organic compounds.

A dehydrogenation process for the dehydrogenation of at least one dehydrogenatable hydrocarbon, the process comprising contacting a feed comprising the at least one dehydrogenatable hydrocarbon under dehydrogenation conditions with a catalyst composition comprising a support and at least one dehydrogenation component wherein said conditions include a temperature of from 400° C. to 750° C. and a pressure of at least 50 psig (345 kPag).

A process for reforming hydrocarbons is presented. The process involves applying process controls over the reaction temperatures to preferentially convert a portion of the hydrocarbon stream to generate an intermediate stream, which will further react with reduced endothermicity. The intermediate stream is then processed at a higher temperature, where a second reforming reactor is operated under substantially isothermal conditions.

Disclosed is a method for removing weakly basic nitrogen compounds from a hydrocarbon feed stream by contacting the hydrocarbon feed stream with a basic catalyst to convert a portion of the weakly basic nitrogen compounds to basic nitrogen compounds. The method also includes contacting the hydrocarbon feed stream with an acidic adsorbent to adsorb the basic nitrogen compounds from the stream. The hydrocarbon feed stream comprises an aromatic compound and a weakly basic nitrogen compound.

A process for reforming a hydrocarbon stream is presented. The process involves splitting a naphtha feedstream to at least two feedstreams and partially processing each feedstream in separate reactors. The processing includes passing the light stream to a combination hydrogenation/dehydrogenation reactor. The process reduces the energy by reducing the endothermic properties of intermediate reformed process streams.

Disclosed is a method for removing weakly basic nitrogen compounds from a hydrocarbon feed stream by contacting the hydrocarbon feed stream with acidic clay to produce a hydrocarbon effluent stream having a lower weakly basic nitrogen compound content relative to the hydrocarbon feed stream. The hydrocarbon feed stream comprises an aromatic compound and a weakly basic nitrogen compound.

A process for reforming a hydrocarbon stream is presented. The process involves splitting a naphtha feedstream to at least two feedstreams and partially processing each feedstream in separate reactors. The processing includes passing the light stream to a combination hydrogenation/dehydrogenation reactor. The process reduces the energy by reducing the endothermic properties of intermediate reformed process streams.

A process is presented for quenching a process stream in a paraffin dehydrogenation process. The process comprises cooling a propane dehydrogenation stream during the hot residence time after the process stream leaves the catalytic bed reactor section. The process includes cooling and compressing the product stream, taking a portion of the product stream and passing the portion of the product stream to the mix with the process stream as it leaves the catalytic bed reactor section.

The present invention relates to a process for the production of a ready-to-use epoxy composition having a filler content of at least 55 vol.-%, relative to the complete ready-to-use epoxy composition, which comprises: providing a liquid A, which comprises at least one epoxy resin,providing a liquid B, which comprises at least one curing agent,providing a solid component C, which comprises at least one filler,wherein in a first step one of the liquids A or B is filled in a mixing container,in a second step the solid component C is deposited on top of the liquid in the mixing container,in a third step the remaining liquid A or B is deposited on top of the solid component C, andin a fourth step the components are mixed to obtain the ready-to-use epoxy composition.

A treatment system and a method for removal of at least one halogenated compound, such as PCBs, found in contaminated systems are provided. The treatment system includes a polymer blanket for receiving at least one non-polar solvent. The halogenated compound permeates into or through a wall of the polymer blanket where it is solubilized with at least one non-polar solvent received by said polymer blanket forming a halogenated solvent mixture. This treatment system and method provides for the in situ removal of halogenated compounds from the contaminated system. In one embodiment, the halogenated solvent mixture is subjected to subsequent processes which destroy and/or degrade the halogenated compound.

The present invention relates to methods for making oxidation resistant homogenized polymeric materials and medical implants that comprise polymeric materials, for example, ultra-high molecular weight polyethylene (UHMWPE). The invention also provides methods of making antioxidant-doped medical implants, for example, doping of medical devices containing cross-linked UHMWPE with vitamin E by diffusion and annealing the anti-oxidant doped UHMWPE in a super critical fluid, and materials used therein.

The present invention relates to a process comprising the steps of reacting a reactive mixture comprising at least one silicone-containing component, at least one hydrophilic component, and at least one diluent to form an ophthalmic device having an advancing contact angle of less than about 80°; and contacting the ophthalmic device with an aqueous extraction solution at an elevated extraction temperature, wherein said at least one diluent has a boiling point at least about 10° higher than said extraction temperature.

A system and method for detecting, filtering, prioritizing and reporting shared memory hazards are disclosed. The method includes, for a unit of hardware operating on a block of threads, mapping a plurality of shared memory locations assigned to the unit to a tracking table. The tracking table comprises initialization information for each shared memory location. The method also includes, for an instruction of a program within a barrier region, identifying a potential conflict by identifying a second access to a location in shared memory within a block of threads executed by the hardware unit. First information associated with a first access and second information associated with the second access to the location is determined. Filter criteria is applied to the first and second information to determine whether the instruction causes a reportable hazard. The instruction is reported when it causes the reportable hazard.

The present disclosure relates to a process for separating a fluoroolefin from a mixture comprising hydrogen fluoride and fluoroolefin, comprising azeotropic distillation both with and without an entrainer. In particular are disclosed processes for separating any of HFC-1225ye, HFC-1234ze, HFC-1234yf or HFC-1243zf from HF.

The disclosure describes a process for dehalogenation of chlorofluorocompounds. The process comprises contacting a saturated chlorofluorocompound with hydrogen in the presence of a catalyst at a temperature sufficient to remove chlorine and/or fluorine substituents to produce a fluorine containing terminal olefin.

The present invention provides a method for separating halocarbons. In particular, the invention provides a method for separating halogenated olefin impurities from 2-chloro-1,1,1,2-tetrafluoropropane (HCFC-244bb) using a solid adsorbent, particularly activated carbon. More particularly the invention pertains to a method for separating 2-chloro-3,3,3-trifluoro-propene (HCFO-1233xf) from HCFC-244bb, which are useful as intermediates in the production of 2,3,3,3-tetrafluoropropene (HFO-1234yf).

A process for making a fluorinated olefin having the step of dehydrochlorinating a hydrochlorofluorocarbon having at least one hydrogen atom and at least one chlorine atom on adjacent carbon atoms, preferably carried out in the presence of a catalyst selected from the group consisting of (i) one or more metal halides, (ii) one or more halogenated metal oxides, (iii) one or more zero-valent metals/metal alloys, (iv) a combination of two or more of the foregoing.

Disclosed and claimed herein are hybrid silica aerogels containing non-polymeric, functional organic materials covalently bonded at one or both ends to the silica network of the aerogels through a C—Si bond between a carbon atom of the organic material and a silicon atom of the aerogel network. Methods of their preparation are also disclosed.

A single software project in an integrated development environment (IDE) may be built for multiple target environments in a single build episode. Multiple different output artifacts may be generated by the build process for each of the target environments. The output artifacts are then deployed to the target environments, which may be homogeneous or heterogeneous environments. The same source project may be used to generate multiple output artifacts for the same target environment.

The present invention is directed to processes for recovering ethanol obtained from the hydrogenation of acetic acid. Acetic acid is hydrogenated in the presence of a catalyst in a hydrogenation reactor to form a crude ethanol product. The crude ethanol product is separated in one or more columns to recover ethanol. In some embodiments, less than 10 wt. % ethanol is recycled to the hydrogenation reactor.

The present invention relates to catalysts and to chemical processes employing such catalysts. The catalysts are preferably used for converting acetic acid to ethanol. The catalyst comprises acidic sites and two or more metals. The catalyst has acidic sites on the surface and the balance favors Lewis acid sites.

A process is disclosed for producing ethanol comprising contacting acetic acid and hydrogen in a reactor in the presence of a catalyst comprising a binder and a mixed oxide comprising nickel and tin.

Disclosed herein are processes for alcohol production by reducing an esterification product, such as ethyl acetate. The processes comprise esterifying acetic acid and an alcohol such as ethanol to produce an esterification product. The esterification product may be recovered using an extractive separation. The esterification product is reduced with hydrogen in the presence of a catalyst to obtain a crude reaction mixture comprising the alcohol, in particular ethanol, which may be separated from the crude reaction mixture.

In a process for the dehydrogenation of cyclohexanone to produce phenol, a feed comprising cyclohexanone is contacted with a dehydrogenation catalyst under dehydrogenation conditions comprising a temperature of less than 400° C. and a pressure of less than 690 kPa, gauge, such 0.1 to 50 wt % of the cyclohexanone in said feed is converted to phenol and the dehydrogenation product contains less than 100 ppm by weight of alkylbenzenes.

Disclosed herein are processes for alcohol production by reducing ethyl acetate produced by hydrogenating acetic acid in the presence of a suitable catalyst. The product of the acetic acid hydrogenation is fed directly to a decanter to separate the hydrogenation product into an aqueous phase comprising water and ethanol and an organic phase comprising ethyl acetate. The organic phase is reduced with hydrogen in the presence of a catalyst to obtain a crude reaction mixture comprising the alcohol, in particular ethanol, which may be separated from the crude reaction mixture. Thus, ethanol may be produced from acetic acid through an ethyl acetate intermediate without an esterification step. This may reduce the recycle of ethanol in the hydrogenolysis process and improve ethanol productivity.

In a process for the dehydrogenation of dehydrogenatable hydrocarbons, a feed comprising dehydrogenatable hydrocarbons is contacted with a catalyst comprising a support and a dehydrogenation component under dehydrogenation conditions effective to convert at least a portion of the dehydrogenatable hydrocarbons in the feed. The catalyst is produced by a method comprising treating the support with a liquid composition comprising the dehydrogenation component or a precursor thereof and at least one organic dispersant selected from an amino alcohol and an amino acid.

The present invention relates to a process for heat integration in the preparation of saturated C3-C20-alcohols, in which a hydrogenation feed comprising at least one C3-C20-aldehyde is hydrogenated in the presence of a hydrogen-comprising gas in a hydrogenation zone and a discharge is taken off from the hydrogenation zone and subjected to distillation in at least one distillation column to give a fraction enriched in saturated C3-C20-alcohols.

A process for preparation of 2-phenyl ethanol by catalytic hydrogenation of styrene oxide using a catalyst consisting of Pd (II) on basic inorganic support is investigated. The present invention comprises development of new Pd based catalysts. The present method yields 2-phenyl ethanol in 98% selectivity at total conversion of styrene oxide. The present process represents an environment friendly alternative to conventionally used methods in industry and eliminates the reduction step for catalyst preparation. In the present invention the active catalyst is generated in situ during the hydrogenation of styrene oxide. In addition, Pd (II) supported catalysts do not catch fire (non pyrophoric), can be stored under ambient conditions and produce very less or no dust which makes said catalysts suitable for industrial application.

Methods and systems for managing data loads on a cluster of processors that implement an iterative procedure through parallel processing of data for the procedure are disclosed. One method includes monitoring, for at least one iteration of the procedure, completion times of a plurality of different processing phases that are undergone by each of the processors in a given iteration. The method further includes determining whether a load imbalance factor threshold is exceeded in the given iteration based on the completion times for the given iteration. In addition, the data is repartitioned by reassigning the data to the processors based on predicted dependencies between assigned data units of the data and completion times of a plurality of the processers for at least two of the phases. Further, the parallel processing is implemented on the cluster of processors in accordance with the reassignment.

A persistent-mode High Temperature Superconductor (HTS) shim coil is provided having at least one rectangular shaped thin sheet of HTS, wherein the thin sheet of HTS contains a first long portion, a second long portion parallel to first long portion, a first end, and a second end parallel to the first end. The rectangular shaped thin sheet of high-temperature superconductor has a hollow center and forms a continuous loop. In addition, the first end and the second end are folded toward each other forming two rings, and the thin sheet of high-temperature superconductor has a radial build that is less than 5 millimeters (mm) and able to withstand very strong magnetic field ranges of greater than approximately 12 Tesla (T) within a center-portion of a superconducting magnet of a superconducting magnet assembly.

The present disclosure relates to a sulfonated benzene compound emitting fluorescence by reaction with hydrogen peroxide, aqueous-dispersed fluorescent nanoprobes applicable for real-time detection of hydrogen peroxide, and a fluorescent nanoprobe fabrication method. The fluorescent nanoprobe contains the following sulfonated benzene compound and water.

A heterogeneous memory system includes a main memory arrangement, a first-level cache, and a memory management unit (MMU). The first-level cache includes an SRAM arrangement and a DRAM arrangement. The MMU is configured and arranged to read first data from the main memory arrangement in response to a stored first value associated with the first data and indicative of a start time. The MMU selects one of the SRAM arrangement or the DRAM arrangement for storage of the first data and stores the first data in the selected one of the SRAM arrangement or DRAM arrangement. The MMU reads second data from one of the SRAM arrangement or DRAM arrangement and writes the data to the main memory arrangement in response to a stored second value associated with the second data and indicative of a duration.

Generally, embodiments of the present disclosure relate to analyte determining methods and devices (e.g., electrochemical analyte monitoring systems) that have improved signal response and stability by inclusion of a coating including a hydrogel, a crosslinker, and a swelling modulator, where the coating is disposed proximate to a working electrode of in vivo and/or in vitro analyte sensors, e.g., continuous and/or automatic in vivo monitoring using analyte sensors and/or test strips. Also provided are systems and methods of using the, for example electrochemical, analyte sensors in analyte monitoring.

Provided is a method for producing a chlorogenic acids composition having a reduced caffeine content and good taste and favor, capable of efficiently recovering high purity of chlorogenic acids from a chlorogenic acids-containing composition. The method for producing a purified chlorogenic acids composition comprises a step A of bringing a chlorogenic acids-containing composition into contact with a cation exchange resin; a step B of bringing the liquid obtained in the step A into contact with an anion exchange resin; and a step C of bringing an eluent into contact with the anion exchange resin after the step B.

Provided by the present invention is a method for efficient oxidation of alcohols by using, as a catalyst for dehydrogenation oxidation, a ruthenium complex which can be easily produced and easily handled and is obtainable at a relatively low cost. The invention relates to a method of producing a compound having a carbonyl group by dehydrogenation oxidation of alcohols by using as a catalyst the ruthenium carbonyl complex represented by the following general formula (1) RuXY(CO)(L) (1) (in the general formula (1), X and Y may be the same or different from each other and represent an anionic ligand, and L represents a tridentate aminodiphosphine ligand).

A method of removing at least a portion of a silicon oxide material is disclosed. The silicon oxide is removed by exposing a semiconductor structure comprising a substrate and the silicon oxide to an ammonium fluoride chemical treatment and a subsequent plasma treatment, both of which may be effected in the same vacuum chamber of a processing apparatus. The ammonium fluoride chemical treatment converts the silicon oxide to a solid reaction product in a self-limiting reaction, the solid reaction product then being volatilized by the plasma treatment. The plasma treatment includes a plasma having an ion bombardment energy of less than or equal to approximately 20 eV. An ammonium fluoride chemical treatment including an alkylated ammonia derivative and hydrogen fluoride is also disclosed.

The present invention relates to a process for recovery of homogeneous metal hydride catalyst from a reactor stream as catalyst suitable for recycle to a reactor comprising the steps of: removing a stream from a reactor, said stream comprising the homogeneous metal hydride catalyst; contacting the stream with a solid acidic absorbent under process conditions which allow at least some of the metal to become bound to the absorbent; subjecting the metal bound to the absorbent, under process conditions which allow desorption of the metal, to a fluid stripping medium comprising hydrogen and solvent; and recovering the active metal hydride catalyst.

A process for the production of 1,4-butanediol and tetrahydrofuran by catalytic hydrogenation of dialkyl maleates includes the following steps: a) hydrogenating a stream of dialkyl maleate in a first stage of reaction over suitable catalysts to produce dialkyl succinate;b) further hydrogenating the dialkyl succinate in a second stage of reaction, by using a different suitable catalyst, for producing mainly 1,4-butanediol, together with gamma-butyrolactone and tetrahydrofuran as co-products. In both stages of reaction the conditions, as hydrogen/organic feed ratio, pressure and temperature, are such to maintain the reactors in mixed liquid/vapor phase.