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1

Khoury, J., Peter D. Gianino, and Charles L. Woods. "Phase-restricted heterogeneous correlation." Optics Letters 25, no. 6 (March 15, 2000): 396. http://dx.doi.org/10.1364/ol.25.000396.

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2

Khan, Haris Mahmood, Tanveer Iqbal, Saima Yasin, Muhammad Irfan, Muhammad Mujtaba Abbas, Ibham Veza, Manzoore Elahi M. Soudagar, Anas Abdelrahman, and Md Abul Kalam. "Heterogeneous Catalyzed Biodiesel Production Using Cosolvent: A Mini Review." Sustainability 14, no. 9 (April 22, 2022): 5062. http://dx.doi.org/10.3390/su14095062.

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Biodiesel is gaining recognition as a good replacement for typical diesel owing to its renewability, sustainability, and eco-friendly nature. Transesterification is the leading route for biodiesel generation, which occurs during homogeneous/heterogeneous/enzymatic catalysis. Besides this, the usage of heterogeneous catalysts is considered more advantageous over homogeneous catalysts due to the easy catalyst recovery. Consequently, numerous heterogeneous catalysts have been synthesized from multiple sources with the intention of making the manufacturing process more efficient and cost-effective. Alongside this, numerous researchers have attempted to improve the biodiesel yield using heterogeneous catalysts by introducing cosolvents, such that phase limitation between oil and alcohol can be minimized. This short review is aimed at examining the investigations performed to date on heterogeneously catalyzed biodiesel generation in the presence of different cosolvents. It encompasses the techniques for heterogeneous catalyst synthesis, reported in the literature available for heterogeneous catalyzed biodiesel generation using cosolvents and their effects. It also suggests that the application of cosolvent in heterogeneously catalyzed three-phase systems substantially reduces the mass transfer limitation between alcohol and oil phases, which leads to enhancements in biodiesel yield along with reductions in values of optimized parameters, with catalyst weight ranges from 1 to 15 wt. %, and alcohol/oil ratio ranges from 5.5 to 20. The reaction time for getting the maximum conversion ranges from 10 to 600 min in the presence of different cosolvents. Alongside this, most of the time, the biodiesel yield remained above 90% in the presence of cosolvents.
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3

Alisherovna, Abidova Mamurakhon. "THE STUDY OF HETEROGENEOUS SYSTEMS AND METHODS FOR THEIR SEPARATION." International Journal of Advance Scientific Research 03, no. 04 (April 1, 2023): 90–96. http://dx.doi.org/10.37547/ijasr-03-04-13.

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The article shows the importance of methods for separating inhomogeneous systems, classified depending on the size of dispersed particles, the difference in densities of continuous and dispersed phases, as well as the viscosity of the continuous phase. The main methods of separation are considered: sedimentation, filtration, centrifugation, wet separation.
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4

Bourouina, Amine, Valérie Meille, and Claude de Bellefon. "About Solid Phase vs. Liquid Phase in Suzuki-Miyaura Reaction." Catalysts 9, no. 1 (January 9, 2019): 60. http://dx.doi.org/10.3390/catal9010060.

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A critical review of conclusions about the putative heterogeneous mechanism in the Suzuki-Miyaura coupling by supported Pd solids is reported. In the first section, the turnover frequencies (TOF) of 20 well-established homogeneous catalysts are shown to be in the range 200 to 1,000,000,000 h − 1 . The evidences used to prove a heterogeneous mechanism are discussed and another interpretation is proposed, hypothesizing that only the leached species are responsible for the catalytic reaction, even at ppb levels. Considering more than 40 published catalytic systems for which liquid phase Pd content have been reported, activities have been computed based on leached Pd concentrations and are shown to be in the range TOF 150 to 70,000,000 h − 1 . Such values are compatible with those found for the well-established homogeneous catalysts which questions the validity of the conclusions raised by many papers about the heterogeneous (solid) nature of Suzuki-Miyaura catalysis. Last, a tentative methodology is proposed which involves the rational use of well-known tests (hot-filtration test, mercury test…) to help to discriminate between homogeneous and heterogeneous mechanisms.
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5

Zamalyutin, V. V., A. V. Ryabov, E. A. Solomakha, E. A. Katsman, V. R. Flid, O. Yu Tkachenko, and M. A. Shpinyova. "Liquid-phase heterogeneous hydrogenation of dicyclopentadiene." Russian Chemical Bulletin 71, no. 6 (June 2022): 1204–8. http://dx.doi.org/10.1007/s11172-022-3521-3.

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6

Saleheen, Mohammad, and Andreas Heyden. "Liquid-Phase Modeling in Heterogeneous Catalysis." ACS Catalysis 8, no. 3 (February 7, 2018): 2188–94. http://dx.doi.org/10.1021/acscatal.7b04367.

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7

Negrón-Mendoza, A., S. Ramos-Bernal, E. Cruz, and J. M. Juárez. "Radiolysis of HCN in heterogeneous phase." Radiation Physics and Chemistry 61, no. 3-6 (June 2001): 771–72. http://dx.doi.org/10.1016/s0969-806x(01)00400-5.

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8

COMBEAU, H., and J. LACAZE. "Numerical simulation of heterogeneous phase transformations." Le Journal de Physique IV 03, no. C7 (November 1993): C7–1157—C7–1162. http://dx.doi.org/10.1051/jp4:19937180.

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9

Bauer, Barry J. "Equilibrium phase compositions of heterogeneous copolymers." Polymer Engineering and Science 25, no. 17 (December 1985): 1081–87. http://dx.doi.org/10.1002/pen.760251706.

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10

Will, Heiko, Peter Scholz, and Bernd Ondruschka. "Microwave-Assisted Heterogeneous Gas-Phase Catalysis." Chemical Engineering & Technology 27, no. 2 (February 5, 2004): 113–22. http://dx.doi.org/10.1002/ceat.200401865.

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11

Pham, Hoanh N., and Michael F. Doherty. "Design and synthesis of heterogeneous azeotropic distillations—I. Heterogeneous phase diagrams." Chemical Engineering Science 45, no. 7 (1990): 1823–36. http://dx.doi.org/10.1016/0009-2509(90)87058-z.

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12

Wang, Shun Cheng, Ji Lin Li, Chun Lei Gan, and Kai Hong Zheng. "Grain Refinement Mechanism and Effective Nucleation Phase of Al-5Ti-1B Master Alloy." Materials Science Forum 898 (June 2017): 1231–35. http://dx.doi.org/10.4028/www.scientific.net/msf.898.1231.

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The Al-5Ti-1B, Al-10Ti, Al-4B master alloys and TiB2 powder were applied to refine the pure aluminum, respectively. The effects of the TiAl3 phase, TiB2 particle, and AlB2 phase on the grain size of pure aluminum were compared. The grain refinement mechanism of the Al-5Ti-1B grain refiner was studied. The results showed that the TiAl3 phase was an effective heterogeneous nucleus of the α-Al grain. But the TiAl3 phase in the Al-5Ti-1B grain refiner was not the heterogeneous nucleus of the α-Al grain due to its re-melting in the Al melt. The separate TiB2 particle or AlB2 phase was not the heterogeneous nucleus of the α-Al grain. However, the TiB2 coated by the TiAl3 phase can be the effective heterogeneous nucleus of the α-Al grain. The grain refinement mechanism of the Al-5Ti-1B grain refiner can be summarized as follows: when the Al-5Ti-1B grain refiner is added into the Al melt, the TiAl3 phases are re-melted to release the Ti atoms, while the TiB2 particles are remaining in the Al melt. During the solidification of the Al melt, the Ti atoms are segregating on the surface of TiB2 particles to form the TiAl3 phases. The TiB2 particles coated by the TiAl3 phases then reacts with the Al melt to generate α-Al crystal nucleus.
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13

Rudykh, S., K. Bhattacharya, and G. deBotton. "Multiscale instabilities in soft heterogeneous dielectric elastomers." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2162 (February 8, 2014): 20130618. http://dx.doi.org/10.1098/rspa.2013.0618.

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The development of instabilities in soft heterogeneous dielectric elastomers is investigated. Motivated by experiments and possible applications, we use in our analysis the physically relevant referential electric field instead of electric displacement. In terms of this variable, a closed form solution is derived for the class of layered neo-Hookean dielectrics. A criterion for the onset of electromechanical multiscale instabilities for the layered composites with anisotropic phases is formulated. A general condition for the onset of the macroscopic instability in soft multiphase dielectrics is introduced. In the example of the layered dielectrics, the essential influence of the microstructure on the onset of instabilities is revealed. We found that: (i) macroscopic instabilities dominate at moderate volume fractions of the stiffer phase, (ii) interface instabilities appear at small volume fractions of the stiffer phase and (iii) instabilities of a finite scale, comparable to the microstructure size, occur at large volume fractions of the stiffer phase. The latest new type of instabilities does not appear in the purely mechanical case and dominates in the region of large volume fractions of the stiff phase.
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14

Wolny, Anna, and Anna Chrobok. "Silica-Based Supported Ionic Liquid-like Phases as Heterogeneous Catalysts." Molecules 27, no. 18 (September 11, 2022): 5900. http://dx.doi.org/10.3390/molecules27185900.

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Supported ionic liquid phases offer several advantages related with catalysis. Immobilization of ionic liquid on the solid support provides catalytic activity or efficient matrix for active phases, as enzymes or metal compounds. Ionic liquid can be physically adsorbed on the carrier (supported ionic liquid phase) or chemically grafted to the material surface (supported ionic liquid-like phase). The use of supported ionic liquid phases improves mass transport, reduces ionic amount in the process and, most importantly, enables effortless catalyst separation and recycling. Moreover, chemical modification of the surface material with ionic liquid prevents its leaching, enhancing length of catalyst life. Silica-based materials have become an effective and powerful matrix for supported ionic liquid-like phase due to its cost-efficiency, presence of hydroxyl groups on the surface enabling its functionalization, and specific material properties, such as the size and shapes of the pores. For these reasons, supported ionic liquid-like phase silica-based materials are successfully used in the organic catalysis.
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15

Rembertowicz, Hanna. "Role of model heterogeneous gas-solid phase reversible reactions in heterogeneous catalysis." Journal of Molecular Catalysis 54, no. 3 (October 1989): 496–500. http://dx.doi.org/10.1016/0304-5102(89)80165-8.

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16

Milne, Russell, and Frederic Guichard. "Coupled phase-amplitude dynamics in heterogeneous metacommunities." Journal of Theoretical Biology 523 (August 2021): 110676. http://dx.doi.org/10.1016/j.jtbi.2021.110676.

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17

Lepri, Stefano, and Arkady Pikovsky. "Phase-locking dynamics of heterogeneous oscillator arrays." Chaos, Solitons & Fractals 155 (February 2022): 111721. http://dx.doi.org/10.1016/j.chaos.2021.111721.

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18

Malijevský. "Phase transitions of fluids in heterogeneous pores." Condensed Matter Physics 19, no. 1 (February 2016): 13604. http://dx.doi.org/10.5488/cmp.19.13604.

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19

Bhattacharya, Kaushik. "Phase boundary propagation in a heterogeneous body." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 455, no. 1982 (February 8, 1999): 757–66. http://dx.doi.org/10.1098/rspa.1999.0333.

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20

Przedborski, Michelle, Surajit Sen, and Thad A. Harroun. "The equilibrium phase in heterogeneous Hertzian chains." Journal of Statistical Mechanics: Theory and Experiment 2017, no. 12 (December 12, 2017): 123204. http://dx.doi.org/10.1088/1742-5468/aa9a62.

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21

Shinagawa, Hideo, Ken-ichi Miyamoto, Kikuo Okuyama, and Barbara E. Wyslouzil. "Simulation of a transient heterogeneous phase transition." JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 28, no. 4 (1995): 456–61. http://dx.doi.org/10.1252/jcej.28.456.

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22

ATWATER, J., J. AKSE, J. MCKINNIS, and J. THOMPSON. "Aqueous phase heterogeneous catalytic oxidation of trichloroethylene." Applied Catalysis B: Environmental 11, no. 1 (December 27, 1996): L11—L18. http://dx.doi.org/10.1016/s0926-3373(96)00063-x.

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23

Chow, Carson C. "Phase-locking in weakly heterogeneous neuronal networks." Physica D: Nonlinear Phenomena 118, no. 3-4 (July 1998): 343–70. http://dx.doi.org/10.1016/s0167-2789(98)00082-7.

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24

SAHOO, S., V. HIWARKAR, I. SAMAJDAR, G. DEY, D. SRIVASTAV, R. TIWARI, and S. BANERJEE. "Heterogeneous deformation in single-phase Zircaloy 2." Scripta Materialia 56, no. 11 (June 2007): 963–66. http://dx.doi.org/10.1016/j.scriptamat.2007.02.008.

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25

ZHANG, L., S. SAWELL, C. MORALEJO, and W. ANDERSON. "Heterogeneous photocatalytic decomposition of gas-phase chlorobenzene." Applied Catalysis B: Environmental 71, no. 3-4 (February 15, 2007): 135–42. http://dx.doi.org/10.1016/j.apcatb.2006.08.016.

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26

Clayton, J. D., R. B. Leavy, and J. Knap. "Phase field modeling of heterogeneous microcrystalline ceramics." International Journal of Solids and Structures 166 (July 2019): 183–96. http://dx.doi.org/10.1016/j.ijsolstr.2019.02.016.

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27

Hasnat, Abul, and Vinay A. Juvekar. "Ion-exchange kinetics: Heterogeneous resin-phase model." AIChE Journal 42, no. 1 (January 1996): 161–75. http://dx.doi.org/10.1002/aic.690420114.

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28

Gao, Huicai, Jisheng Kou, Shuyu Sun, and Xiuhua Wang. "Thermodynamically consistent modeling of two-phase incompressible flows in heterogeneous and fractured media." Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 75 (2020): 32. http://dx.doi.org/10.2516/ogst/2020024.

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Numerical modeling of two-phase flows in heterogeneous and fractured media is of great interest in petroleum reservoir engineering. The classical model for two-phase flows in porous media is not completely thermodynamically consistent since the energy reconstructed from the capillary pressure does not involve the ideal fluid energy of both phases and attraction effect between two phases. On the other hand, the saturation may be discontinuous in heterogeneous and fractured media, and thus the saturation gradient may be not well defined. Consequently, the classical phase-field models can not be applied due to the use of diffuse interfaces. In this paper, we propose a new thermodynamically consistent energy-based model for two-phase flows in heterogeneous and fractured media, which is free of the gradient energy. Meanwhile, the model inherits the key features of the traditional models of two-phase flows in porous media, including relative permeability, volumetric phase velocity and capillarity effect. To characterize the capillarity effect, a logarithmic energy potential is proposed as the free energy function, which is more realistic than the commonly used double well potential. The model combines with the discrete fracture model to describe two-phase flows in fractured media. The popularly used implicit pressure explicit saturation method is used to simulate the model. Finally, the experimental verification of the model and numerical simulation results are provided.
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29

Ukaegbu, C., O. Gundogan, E. Mackay, G. Pickup, A. Todd, and F. Gozalpour. "Simulation of CO2 storage in a heterogeneous aquifer." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 223, no. 3 (March 3, 2009): 249–67. http://dx.doi.org/10.1243/09576509jpe627.

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The fate of carbon dioxide (CO2) injected into a deep saline aquifer depends largely on the geological structure within the aquifer. For example, low permeability layers, such as shales or mudstones, will act as barriers to vertical flow of CO2 gas, whereas high permeability channels may assist the lateral migration of CO2. It is therefore important to include permeability heterogeneity in models for numerical flow simulation As an example of a heterogeneous system, a model of fluvial-incised valley deposits was used. Flow simulations were performed using the generalized equation-of-state model—greenhouse gas software package from Computer Modelling Group, which is a compositional simulator, specially adapted for CO2 storage. The impacts of residual gas and water saturations, gas diffusion in the aqueous phase, hysteresis, and permeability anisotropy on the distribution of CO2 between the gaseous and aqueous phases were examined. Gas diffusion in the aqueous phase was found to significantly enhance solubility trapping of CO2, even when hysteretic trapping of CO2 as a residual phase is taken into account.
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30

Fleury, E., H. J. Chang, and D. H. Kim. "Heterogeneous nucleation of icosahedral phase from FCC phase in cast Al87Mn4Si2Be7alloy." Philosophical Magazine 86, no. 3-5 (January 21, 2006): 349–54. http://dx.doi.org/10.1080/14786430500255351.

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31

Goswami, Atri, Mainak Chatterjee, and Sudip Mukherjee. "Steady states and phase transitions in heterogeneous asymmetric exclusion processes." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 12 (December 1, 2022): 123209. http://dx.doi.org/10.1088/1742-5468/aca2a0.

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Abstract We study nonequilibrium steady states in totally asymmetric exclusion processes (TASEPs) with open boundary conditions having spatially inhomogeneous hopping rates. Considering smoothly varying hopping rates, we show that the steady states are in general classified by the steady state currents in direct analogy with open TASEPs having uniform hopping rates. We calculate the steady state bulk density profiles, which are now spatially nonuniform. We also obtain the phase diagrams in the plane of the control parameters, which, despite having phase boundaries that are in general curved lines, have the same topology as their counterparts for conventional open TASEPs, independent of the form of the hopping rate functions. This reveals a type of universality, not encountered in critical phenomena. Surprisingly and in contrast to the phase transitions in an open TASEP with uniform hopping, our studies on the phase transitions in the model reveal that all three transitions are first order in nature. We also demonstrate that this model admits delocalised domain walls (DDWs) on the phase boundaries, demarcating the generalised low and high density phases in this model. However, in contrast to the DDWs observed in an open TASEP with uniform hopping, the envelopes of the DDWs in the present model are generally curved lines.
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32

Pak, Tannaz, Ian B. Butler, Sebastian Geiger, Marinus I. J. van Dijke, and Ken S. Sorbie. "Droplet fragmentation: 3D imaging of a previously unidentified pore-scale process during multiphase flow in porous media." Proceedings of the National Academy of Sciences 112, no. 7 (February 2, 2015): 1947–52. http://dx.doi.org/10.1073/pnas.1420202112.

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Using X-ray computed microtomography, we have visualized and quantified the in situ structure of a trapped nonwetting phase (oil) in a highly heterogeneous carbonate rock after injecting a wetting phase (brine) at low and high capillary numbers. We imaged the process of capillary desaturation in 3D and demonstrated its impacts on the trapped nonwetting phase cluster size distribution. We have identified a previously unidentified pore-scale event during capillary desaturation. This pore-scale event, described as droplet fragmentation of the nonwetting phase, occurs in larger pores. It increases volumetric production of the nonwetting phase after capillary trapping and enlarges the fluid−fluid interface, which can enhance mass transfer between the phases. Droplet fragmentation therefore has implications for a range of multiphase flow processes in natural and engineered porous media with complex heterogeneous pore spaces.
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33

Latos, Piotr, Anna Wolny, and Anna Chrobok. "Supported Ionic Liquid Phase Catalysts Dedicated for Continuous Flow Synthesis." Materials 16, no. 5 (March 5, 2023): 2106. http://dx.doi.org/10.3390/ma16052106.

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Heterogeneous catalysis, although known for over a century, is constantly improved and plays a key role in solving the present problems in chemical technology. Thanks to the development of modern materials engineering, solid supports for catalytic phases having a highly developed surface are available. Recently, continuous-flow synthesis started to be a key technology in the synthesis of high added value chemicals. These processes are more efficient, sustainable, safer and cheaper to operate. The most promising is the use of heterogeneous catalyst with column-type fixed-bed reactors. The advantages of the use of heterogeneous catalyst in continuous flow reactors are the physical separation of product and catalyst, as well as the reduction in inactivation and loss of the catalyst. However, the state-of-the-art use of heterogeneous catalysts in flow systems compared to homogenous ones remains still open. The lifetime of heterogeneous catalysts remains a significant hurdle to realise sustainable flow synthesis. The goal of this review article was to present a state of knowledge concerning the application of Supported Ionic Liquid Phase (SILP) catalysts dedicated for continuous flow synthesis.
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34

Carpenter, D. A., A. Gorin, and J. T. Shor. "Analysis of Heterogeneous Materials with X-Ray Microfujorescence and Microdiffraction." Advances in X-ray Analysis 38 (1994): 557–62. http://dx.doi.org/10.1154/s0376030800018231.

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The chemistry of heterogeneous materials can be understood only after determining the elements composing the material, the ways in which those elements combine, and the distribution of the resulting phases. The techniques of photon-induced x-ray microfluorescence (XRMF) and x-ray microdiffraction (XRMD) offer several advantages over conventional electron- beam methods for determinations of element and phase distributions. Those advantages include minimal specimen preparation, good element sensitivity, air operation, the capability of wide area coverage, and the availability of sophisticated search/match routines for phase identification.
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35

Alharbi, Najat, Richard Hailstone, and Benjamin Varela. "Multiple Phase Identification in Alkali Activated Slag by SEM-EDS." Key Engineering Materials 761 (January 2018): 49–56. http://dx.doi.org/10.4028/www.scientific.net/kem.761.49.

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Alkali-activated slag is studied using transmission electron microscopy (TEM), scanning electron microscopy (SEM), and x-ray microanalysis. Attention is focused on delineating the phases induced by the alkali activation, as these phases are important in determining the mechanical properties of the material. The starting material, slag, is found to be a heterogeneous material with at least two phases. Upon alkali activation the material becomes more heterogeneous, now exhibiting at least four phases with significant different chemical composition. Furthermore, the alkali activation is found to modify the phase rich in Ca in the unactivated slag more than the other. Alkali activation of the slag produced mostly an amorphous material with some crystalline phases such as hydrotalcite and calcite, also some nanocrystalline structures were detected by TEM.
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36

Harnett, L., M. Stennett, E. Maddrell, and N. Hyatt. "Characterisation of glass ceramic wasteforms using quantitative image analysis of electron micrographs." MRS Advances 7, no. 5-6 (February 9, 2022): 86–89. http://dx.doi.org/10.1557/s43580-022-00227-0.

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Abstract Multi-phase material systems make up a significant proportion of the currently proposed and researched wasteforms for sequestration of heterogeneous nuclear material feeds. Quantification of the components for such multi-phase assemblages is typically performed using diffraction-based Rietveld methods, many of which necessitate long measurement times of several hours. Furthermore, careful additions of an internal standard are typically required, to facilitate inclusion of amorphous phases in the quantification. The application of an image analysis method has been investigated, using the z-contrast greyscale of back-scattered electron micrographs to determine the relative quantities of component phases in a suite of monolithic phosphate glass ceramic wasteforms. This work demonstrates an alternate methodology for accelerated quantification which could be applied to other heterogeneous wasteforms and multi-phase materials. Graphical abstract
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37

Benedetti, A. "Small-Angle Scattering of Heterogeneous Catalysts." Journal of Applied Crystallography 30, no. 5 (October 1, 1997): 647–52. http://dx.doi.org/10.1107/s0021889897001003.

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A heterogeneously catalyzed reaction involves the adsorption of the reactants on the surface of the catalyst. Consequently, catalytic activity is usually strongly related to the microstructural features of the catalyst. Small-angle scattering (SAS) has been extensively used to study heterogeneous catalysts and it has been shown to provide useful information about the specific surface of the active phases. In particular, the majority of the research has dealt, and still deals, with supported metal catalysts, which are three-phase systems (support, voids and metal). Several attempts have been made experimentally and theoretically to overcome this problem and to obtain values for the three surface areas. In the first part of the paper, earlier results and recent approaches will be reviewed in order to give a general picture of the problem. In the second part, some recent results on other kinds of heterogeneous catalysts, such as sulfated zirconia, with strongly acidic properties, and functionalized silicas, will be discussed. Knowledge of the degree of smoothness of the particles (angularity) and thickness of the organic films obtained by SAS experiments can be very useful in clarifying morphological aspects of these porous systems.
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38

Wang, Dan, Wei Chen, and Li Qiu. "Synchronization of Heterogeneous Dynamical Networks via Phase Analysis." IFAC-PapersOnLine 53, no. 2 (2020): 3013–18. http://dx.doi.org/10.1016/j.ifacol.2020.12.989.

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39

Sandrakov, Gennadiy. "Modeling of Heterogeneous Hydrodynamics Processes with Phase Transition." Modeling, Control and Information Technologies, no. 3 (November 6, 2019): 67–68. http://dx.doi.org/10.31713/mcit.2019.18.

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A new mathematical and numerical method of modeling for heterogeneous hydrodynamics processes with take of phase transitions like graphite-diamond will be presented. The method is based on an approximation of conservation laws for masses, momentums, and energies in integral and differential forms. The combination of Harlow's particle-in-cell method and Belotserkovskii's large particles method is used for computing by the modeling method simulation.
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40

Kril', S. I. "Heat Conduction Equations for Two-Phase Heterogeneous Media." International Journal of Fluid Mechanics Research 23, no. 3-4 (1996): 243–49. http://dx.doi.org/10.1615/interjfluidmechres.v23.i3-4.70.

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41

Jiang, Hong, Yefei Liu, Weihong Xing, and Rizhi Chen. "Porous Membrane Reactors for Liquid-Phase Heterogeneous Catalysis." Industrial & Engineering Chemistry Research 60, no. 25 (June 21, 2021): 8969–90. http://dx.doi.org/10.1021/acs.iecr.1c01378.

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42

Bolotov, Maxim, Tatiana Levanova, Lev Smirnov, and Arkady Pikovsky. "Dynamics of disordered heterogeneous chains of phase oscillators." Cybernetics and Physics, Volume 8, 2019, Number 4 (December 30, 2019): 215–21. http://dx.doi.org/10.35470/2226-4116-2019-8-4-215-221.

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We study the problem of robustness of synchronous states to disorder in the chain of phase oscillators with local coupling. The study combines a numerical determination of the existence and stability of synchronous states with an analytical investigation of the role of the phase shift and the level of disorder in the natural frequencies in the destruction of synchrony. We show that the presence of the phase shift facilitates robustness of the synchronous regime, at least up to its certain threshold value.
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43

Scoggin, J., Z. Woods, H. Silva, and A. Gokirmak. "Modeling heterogeneous melting in phase change memory devices." Applied Physics Letters 114, no. 4 (January 28, 2019): 043502. http://dx.doi.org/10.1063/1.5067397.

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44

Shearer, Catherine. "Transient Liquid Phase Sintering Pastes in Heterogeneous Integration." Additional Conferences (Device Packaging, HiTEC, HiTEN, and CICMT) 2017, DPC (January 1, 2017): 1–26. http://dx.doi.org/10.4071/2017dpc-wp1_presentation5.

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Integrated package technologies continue to be the dominant trend in the electronics packaging industry. In particular, heterogeneous integration of logic and memory or sensing is an enormous growth segment for both mobile electronics and IoT applications. In the mobile microprocessor segment of the field, the most advanced technologies will be implemented in the early adopter class. New package architectures and interconnect schemes will be vetted and implemented without significant cost pressure, performance is the driver. In the IoT segment and downstream mobile, however; lower cost alternatives to cutting edge packaging architectures are needed to drive market growth. Sintering pastes offer an opportunity to cost-effectively enable cutting edge 3D package capability for a wider variety of applications. In this paper we will explore the use of transient liquid phase sintering (TLPS) pastes in package-on-package (POP) schemes for integrated logic with memory or sensing functions in through mold via architectures. Through mold via technology has been well established in the industry and has significantly contributed to the adoption of three dimensional packaging architectures. The advantages of using TLPS pastes in similar structures will be detailed.
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45

Jones, P. B. "Amorphous and Heterogeneous Phase of Neutron Star Matter." Physical Review Letters 83, no. 18 (November 1, 1999): 3589–92. http://dx.doi.org/10.1103/physrevlett.83.3589.

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46

Ghoussoub, Mireille, Meikun Xia, Paul N. Duchesne, Dvira Segal, and Geoffrey Ozin. "Principles of photothermal gas-phase heterogeneous CO2 catalysis." Energy & Environmental Science 12, no. 4 (2019): 1122–42. http://dx.doi.org/10.1039/c8ee02790k.

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Photothermal catalysis is an emerging sub-discipline of heterogeneous catalysis that exploits broad absorption of the solar spectrum to stimulate a combination of thermochemical and photochemical processes, which contribute synergistically to driving catalytic reactions. In particular, it is proving an effective and promising strategy for converting CO2 to synthetic fuels.
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47

Abreu, E., J. Douglas, F. Furtado, D. Marchesin, and F. Pereira. "Three-phase immiscible displacement in heterogeneous petroleum reservoirs." Mathematics and Computers in Simulation 73, no. 1-4 (November 2006): 2–20. http://dx.doi.org/10.1016/j.matcom.2006.06.018.

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48

Tomellini, Massimo, and Sara Politi. "Kinetics of phase transformations with heterogeneous correlated-nucleation." Physica A: Statistical Mechanics and its Applications 513 (January 2019): 175–88. http://dx.doi.org/10.1016/j.physa.2018.08.165.

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Centi, G., D. Pesheva, and F. Trifiro. "Functionalization of alkanes by heterogeneous vapour-phase oxidation." Applied Catalysis 33, no. 2 (September 1987): 343–59. http://dx.doi.org/10.1016/s0166-9834(00)83066-3.

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50

Pham, Hien N., John Reardon, and Abhaya K. Datye. "Measuring the strength of slurry phase heterogeneous catalysts." Powder Technology 103, no. 2 (July 1999): 95–102. http://dx.doi.org/10.1016/s0032-5910(98)00177-6.

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