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Journal articles on the topic 'Thermodynamic instabilities and phase transition'

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Author: Grafiati

Published: 14 March 2023

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1

Lavagno, A., D. Pigato, and G. Gervino. "Thermodynamic instabilities in high energy heavy-ion collisions." Modern Physics Letters B 29, no. 18 (July 10, 2015): 1550092. http://dx.doi.org/10.1142/s021798491550092x.

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One of the very interesting aspects of high energy heavy-ion collisions experiments is a detailed study of the thermodynamical properties of strongly interacting nuclear matter away from the nuclear ground state. In this direction, many efforts were focused on searching for possible phase transitions in such collisions. We investigate thermodynamic instabilities in a hot and dense nuclear medium where a phase transition from nucleonic matter to resonance-dominated [Formula: see text]-matter can take place. Such a phase transition can be characterized by both mechanical instability (fluctuations on the baryon density) and by chemical-diffusive instability (fluctuations on the strangeness concentration) in asymmetric nuclear matter. In analogy with the liquid–gas nuclear phase transition, hadronic phases with different values of antibaryon–baryon ratios and strangeness content may coexist. Such a physical regime could be, in principle, investigated in the future high-energy compressed nuclear matter experiments which will make it possible to create compressed baryonic matter with a high net baryon density.

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2

Lavagno, A. "Nuclear phase transition and thermodynamic instabilities in dense nuclear matter." EPJ Web of Conferences 182 (2018): 03007. http://dx.doi.org/10.1051/epjconf/201818203007.

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We study the presence of thermodynamic instabilities in a nuclear medium at finite temperature and density where nuclear phase transitions can take place. Such a phase transition is characterized by pure hadronic matter with both mechanical instability (fluctuations on the baryon density) that by chemical-diffusive instability (fluctuations on the electric charge concentration). Similarly to the liquid-gas phase transition, the nucleonic and the Δ-matter phase have a different isospin density in the mixed phase. In the liquid-gas phase transition, the process of producing a larger neutron excess in the gas phase is referred to as isospin fractionation. A similar effects can occur in the nucleon-Δ matter phase transition due essentially to a Δ- excess in the Δ-matter phase in asymmetric nuclear matter. In this context we also discuss the relevance of Δ-isobar and hyperon degrees of freedom in the bulk properties of the protoneutron stars at fixed entropy per baryon, in the presence and in the absence of trapped neutrinos.

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3

Pourhassan, B., H. Farahani, and S. Upadhyay. "Thermodynamics of higher-order entropy corrected Schwarzschild–Beltrami–de Sitter black hole." International Journal of Modern Physics A 34, no. 28 (October 10, 2019): 1950158. http://dx.doi.org/10.1142/s0217751x19501586.

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In this paper, we consider higher-order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild–Beltrami–de Sitter black hole, which is indeed an exact solution of Einstein equation with a positive cosmological constant. By using the corrected entropy and Hawking temperature, we extract some thermodynamical quantities like Gibbs and Helmholtz free energies and heat capacity. We also investigate the first and second laws of thermodynamics. We find that presence of higher-order corrections, which come from thermal fluctuations, may remove some instabilities of the black hole. Also unstable to stable phase transition is possible in presence of the first- and second-order corrections.

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4

Sadigh, Babak, Luis Zepeda-Ruiz, and Jonathan L. Belof. "Metastable–solid phase diagrams derived from polymorphic solidification kinetics." Proceedings of the National Academy of Sciences 118, no. 9 (February 22, 2021): e2017809118. http://dx.doi.org/10.1073/pnas.2017809118.

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Nonequilibrium processes during solidification can lead to kinetic stabilization of metastable crystal phases. A general framework for predicting the solidification conditions that lead to metastable-phase growth is developed and applied to a model face-centered cubic (fcc) metal that undergoes phase transitions to the body-centered cubic (bcc) as well as the hexagonal close-packed phases at high temperatures and pressures. Large-scale molecular dynamics simulations of ultrarapid freezing show that bcc nucleates and grows well outside of the region of its thermodynamic stability. An extensive study of crystal–liquid equilibria confirms that at any given pressure, there is a multitude of metastable solid phases that can coexist with the liquid phase. We define for every crystal phase, a solid cluster in liquid (SCL) basin, which contains all solid clusters of that phase coexisting with the liquid. A rigorous methodology is developed that allows for practical calculations of nucleation rates into arbitrary SCL basins from the undercooled melt. It is demonstrated that at large undercoolings, phase selections made during the nucleation stage can be undone by kinetic instabilities amid the growth stage. On these bases, a solidification–kinetic phase diagram is drawn for the model fcc system that delimits the conditions for macroscopic grains of metastable bcc phase to grow from the melt. We conclude with a study of unconventional interfacial kinetics at special interfaces, which can bring about heterogeneous multiphase crystal growth. A first-order interfacial phase transformation accompanied by a growth-mode transition is examined.

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5

Parisi, Giorgio, Itamar Procaccia, Corrado Rainone, and Murari Singh. "Shear bands as manifestation of a criticality in yielding amorphous solids." Proceedings of the National Academy of Sciences 114, no. 22 (May 16, 2017): 5577–82. http://dx.doi.org/10.1073/pnas.1700075114.

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Amorphous solids increase their stress as a function of an applied strain until a mechanical yield point whereupon the stress cannot increase anymore, afterward exhibiting a steady state with a constant mean stress. In stress-controlled experiments, the system simply breaks when pushed beyond this mean stress. The ubiquity of this phenomenon over a huge variety of amorphous solids calls for a generic theory that is free of microscopic details. Here, we offer such a theory: The mechanical yield is a thermodynamic phase transition, where yield occurs as a spinodal phenomenon. At the spinodal point, there exists a divergent correlation length that is associated with the system-spanning instabilities (also known as shear bands), which are typical to the mechanical yield. The theory, the order parameter used, and the correlation functions that exhibit the divergent correlation length are universal in nature and can be applied to any amorphous solids that undergo mechanical yield.

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6

PROVIDÊNCIA, CONSTANÇA. "RELATIVISTIC HADRONIC MATTER AND PHASE TRANSITIONS." International Journal of Modern Physics E 16, no. 09 (October 2007): 2680–719. http://dx.doi.org/10.1142/s0218301307008343.

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A brief revision of different relativistic hadronic models, including the original sigma-omega model, models with nonlinear meson terms, density dependent coupling parameters and the quark-meson coupling, are presented. The inclusion of short range correlations is discussed. Dense stellar matter is described within the relativistic hadronic models introduced. We build the EoS for cold and warm hadronic and hybrid stars and discuss the star properties obtained within the different approaches. The low density thermodynamical and dynamical instabilities of stellar matter of interest for the discussion of the crust of neutron stars are investigated.

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7

RYMARZ, C. "SELF-ORGANIZATION AND CHAOS IN ATMOSPHERE." International Journal of Bifurcation and Chaos 09, no. 02 (February 1999): 361–70. http://dx.doi.org/10.1142/s0218127499000237.

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The paper contains considerations concerning two main phenomena in the dynamics of the atmosphere: self-organization and deterministic chaos. Coexisting, they can form the sequence modeling of living systems: Birth → Evolution → Death. Such kind of sequences are very universal in the atmosphere (atmospheric fronts, cyclones, etc.) Since deterministic chaos is investigated in literature intensively, in this paper the main attention is on the investigation of instabilities or phase transitions of the self-organization type. To this end the thermodynamics of the processes running far from equilibrium has been discussed. Two main instabilities of zonal, westerly flow have been investigated, applying the method of the Lapunov function. Following the procedure of nonequilibrium thermodynamics, sufficient conditions for the instabilities of zonal, westerly barotropic and baroclinic flows have been formulated. Applying the linear approximation to the boundary-value problem of the atmospheric flow in a layer heated below, the sequence of phenomena, from a heat conductivity, through the Benard convection, to a deterministic chaos, induced by the growing gradient of temperature, is presented.

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8

Hsieh, D. Y., S. Q. Tang, and X. P. Wang. "On hydrodynamic instabilities, chaos and phase transition." Acta Mechanica Sinica 12, no. 1 (February 1996): 1–14. http://dx.doi.org/10.1007/bf02486757.

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9

Radkevich, E. V., E. A. Lukashev, and O. A. Vasil’eva. "Hydrodynamic instabilities and nonequilibrium phase transitions." Доклады Академии наук 486, no. 5 (June 20, 2019): 537–42. http://dx.doi.org/10.31857/s0869-56524865537-542.

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For laminar-turbulent transition model is built reconstruction of the initial stage of instability as a nonequilibrium phase transition, the mechanism of which is diffusion stratification. It is shown that the Gibbs free energy deviations from the homogeneous state (relative to the instability under consideration) is an analogue Ginzburg-Landau potentials. Numerical experiments were performed. Self-excitation of a homogeneous state by edge control condition of increasing speed. Under external influence (increase in speed at the input), there is a transition to chaos through bifurcations of period doubling, when the internal control parameter (analogue of the Reynolds number) changes, like the Feigenbaum period doubling cascade.

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10

Il’ichev, A. T., and G. G. Tsypkin. "Instabilities of uniform filtration flows with phase transition." Journal of Experimental and Theoretical Physics 107, no. 4 (October 2008): 699–711. http://dx.doi.org/10.1134/s106377610810018x.

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11

Li, Hui-Ling, and Wei Li. "Thermodynamic Phase Transition of Black Hole." International Journal of Theoretical Physics 59, no. 10 (August 25, 2020): 3032–42. http://dx.doi.org/10.1007/s10773-020-04510-4.

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12

SIVASUBRAMANIAN, S., A. WIDOM, and Y. N. SRIVASTAVA. "RADIATIVE PHASE TRANSITIONS AND CASIMIR EFFECT INSTABILITIES." Modern Physics Letters B 20, no. 22 (September 30, 2006): 1417–25. http://dx.doi.org/10.1142/s0217984906011748.

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Molecular quantum electrodynamics lead to photon frequency shifts and thus to changes in condensed matter free energies (often called the Casimir effect). Strong quantum electrodynamic coupling between radiation and molecular motions can lead to an instability beyond which one or more photon oscillators undergo a displacement phase transition. We show that the phase boundary of the transition can be located by a Casimir free energy instability.

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13

Wang, Hui, Wansheng Nie, and Lingyu Su. "Experimental investigation of thermodynamic instability of supercritical endothermic hydrocarbon fuel within a small-scale channel." Advances in Mechanical Engineering 11, no. 3 (March 2019): 168781401983028. http://dx.doi.org/10.1177/1687814019830283.

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A series of experiments were performed to investigate the thermodynamic instabilities that occur during heating of supercritical endothermic hydrocarbon fuel. A “power–temperature drop” characteristic curve is used to analyze the mechanism of thermodynamic instabilities. The results indicate that the heat-transfer process in a heated tube with increasing heating power can be divided into three periods: stable, developing, and instable; in which, the thermodynamic instabilities are found to occur. When the outlet fuel temperature reaches the pseudo-critical temperature, an acute decrease in fuel density and viscosity causes the flow to change from a transition flow to a turbulent flow, and the sharp increase of heat transfer in turbulent flow increases the thermodynamic instabilities. The intensity of the instability is related to the kinetic energy of the flow and the oscillatory extent. When the mass flow rate is increased from 1.0 to 1.5 g/s, the effect on the flow’s kinetic energy dominates the change in instability which causes the intensity of the instability to increase. While the intensity of the instability decreases with increasing inlet fuel temperature, which results from the decrease of the oscillatory extent. The effects of the operating pressure on the instability are not linear because of the properties of fuel change, obviously with pressure near the critical point.

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14

Bellucci, S., and B. N. Tiwari. "Thermodynamic geometry: Evolution, correlation and phase transition." Physica A: Statistical Mechanics and its Applications 390, no. 11 (June 2011): 2074–86. http://dx.doi.org/10.1016/j.physa.2010.12.043.

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15

Thang, P. D., E. Brück, K. H. J. Buschow, and F. R. de Boer. "Phase transition and thermodynamic properties of Fe60Pt40." Journal of Magnetism and Magnetic Materials 242-245 (April 2002): 891–94. http://dx.doi.org/10.1016/s0304-8853(01)01334-8.

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16

Ebner, Lothar, and Marie Fialová. "On Instabilities in Horizontal Two-Phase Flow." Collection of Czechoslovak Chemical Communications 59, no. 12 (1994): 2595–603. http://dx.doi.org/10.1135/cccc19942595.

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Two regions of instabilities in horizontal two-phase flow were detected. The first was found in the transition from slug to annular flow, the second between stratified and slug flow. The existence of oscillations between the slug and annular flows can explain the differences in the limitation of the slug flow in flow regime maps proposed by different authors. Coexistence of these two regimes is similar to bistable behaviour of some differential equation solutions.

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17

Mitlin, V. S. "Two-phase multicomponent filtration: instabilities, autowaves and retrograde phenomena." Journal of Fluid Mechanics 220 (November 1990): 369–95. http://dx.doi.org/10.1017/s0022112090003305.

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The different modifications of the models of two-phase multicomponent filtration (Collins 1961; Nikolaevsky et al. 1968) enable one to study the dynamics of filtration flows, taking into account phase transitions. The equations of multicomponent filtration are quite complicated and only in a few individual cases do they allow for an exact solution. The most frequently used of these appears to be the solution of the stationary problem of the flow of a multicomponent mixture toward a well or a system of wells (Khristianovich 1941). In the present paper we show that at certain values of pressure, temperature and composition of the multicomponent mixture a stationary solution of the problem may not exist. The absence of a stationary solution is related to the possibility of a spatially homogeneous solution losing its stability under a perturbation (Mitlin 1986a, 1987b). We obtain an analytical criterion for instability. As an illustration, we present the results of the numerical solution of the planar linear problem of the evolution of a multicomponent system whose pressure and composition are perturbed with respect to their constant values, which are equal at both ends. We have done a numerical analysis of the plane-radial problem of the operation of a gas–condensate well with different mass fluxes, applying the conditions of a real deposit. There are several ranges of flux where the flow becomes pulsating. It is shown that the time within which the stationary solution sets in is a non-monotonic function of flux and on approaching the stability limit diverges in inverse proportion to the undercriticality of debit. We have analysed the connection between the observed instabilities and the thermodynamics of two-phase multicomponent mixtures. It is shown that the instabilities are associated with the system entering the region of retrograde condensation. We discuss the relation of retrograde phenomena to the effect of negative volume of heavy components and, as a consequence, to the negative compressibility of an individual volume of a two-phase mixture moving in a porous medium. It is shown that the observed autowave modes are relaxation oscillations in a distributed system. By using the method of perturbations in the interphase equilibrium time, we have analysed the loss of stability in a more general – non-equilibrium – model. We show that the instabilities are generated according to the Landau–Hopf scenario and calculate the period of auto-oscillations. The one-mode approximation of the theory leads to the Van der Pol equation. In conclusion we present an experimental confirmation of the theory.

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18

Borderie, Bernard, Nicolas Le Neindre, and Pierre Désesquelles. "Phase transition dynamics in hot nuclei and N/Z influence." EPJ Web of Conferences 223 (2019): 01006. http://dx.doi.org/10.1051/epjconf/201922301006.

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An abnormal production of events with almost equal-sized fragments was theoretically proposed as a signature of spinodal instabilities responsible for nuclear multifragmentation in the Fermi energy domain. On the other hand finite size effects are predicted to strongly reduce this extra production. High statistics quasifusion hot nuclei produced in central collisions between Xe and Sn isotopes at 32 and 45 MeV per nucleon incident energies have been used to definitively establish, through the experimental measurement of charge correlations, the presence of spinodal instabilities. N/Z influence was also studied. The nature of the phase transition dynamics i.e. the fragment formation was the last missing piece of the puzzle concerning the liquidgas transition in nuclei.

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19

Auernhammer, Günter K., Doris Vollmer, and Jürgen Vollmer. "Oscillatory instabilities in phase separation of binary mixtures: Fixing the thermodynamic driving." Journal of Chemical Physics 123, no. 13 (October 2005): 134511. http://dx.doi.org/10.1063/1.2046608.

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20

BANERJEE, SOUVIK, SAYAN K. CHAKRABARTI, SUDIPTA MUKHERJI, and BINATA PANDA. "BLACK HOLE PHASE TRANSITIONS VIA BRAGG–WILLIAMS." International Journal of Modern Physics A 26, no. 20 (August 10, 2011): 3469–89. http://dx.doi.org/10.1142/s0217751x11053845.

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We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg–Williams construction of a free energy function. Starting with a pedagogical review of this construction in condensed matter systems and also its implementation to Hawking–Page transition, we study instabilities associated with hairy black holes and also with the R-charged black holes. For the hairy black holes, an analysis of thermal quench is presented.

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21

Borchman, Douglas, Craig Byrdwell, and M. C. Yappert. "Thermodynamic Phase Transition Parameters of Human Lens Dihydrosphingomyelin." Ophthalmic Research 28, no. 1 (1996): 81–85. http://dx.doi.org/10.1159/000267977.

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22

QIAN, Jing, Chang-yi WU, and Hao-ran GONG. "Phase transition, thermodynamic and elastic properties of ZrC." Transactions of Nonferrous Metals Society of China 28, no. 12 (December 2018): 2520–27. http://dx.doi.org/10.1016/s1003-6326(18)64898-8.

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23

Jacob, K. T., V. S. Saji, J. Gopalakrishnan, and Y. Waseda. "Thermodynamic evidence for phase transition in MoO2−δ." Journal of Chemical Thermodynamics 39, no. 12 (December 2007): 1539–45. http://dx.doi.org/10.1016/j.jct.2007.09.005.

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24

Guba, Peter, and Daniel M. Anderson. "Diffusive and phase change instabilities in a ternary mushy layer." Journal of Fluid Mechanics 760 (November 12, 2014): 634–69. http://dx.doi.org/10.1017/jfm.2014.615.

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AbstractWe analyse the stability of a mushy layer during the directional solidification of a ternary alloy. Our model includes diffusive and convective transport of heat and solutes, coupled by an equilibrium thermodynamic constraint of the ternary phase diagram. The model contains phase change effects due to latent-heat release, solute rejection and background solidification. We identify novel convective instabilities, both direct and oscillatory, which are present under statically stable conditions. We examine these instabilities asymptotically by simplifying to a thin mushy layer with small growth rates. We also discuss numerical results for the full problem, confirming the asymptotic predictions and providing the stability characteristics outside the small-growth-rate approximation. A physical explanation for these instabilities in terms of parcel arguments is proposed, indicating that the instability mechanisms generally involve different rates of solute diffusion, different rates of solute rejection and different background solute distributions induced by the initial alloy composition.

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25

Kratky, Karl W. "Is the percolation transition of hard spheres a thermodynamic phase transition?" Journal of Statistical Physics 52, no. 5-6 (September 1988): 1413–21. http://dx.doi.org/10.1007/bf01011656.

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26

Xu, Zhaoyi, Yi Liao, and Jiancheng Wang. "Thermodynamics and phase transition in rotational Kiselev black hole." International Journal of Modern Physics A 34, no. 30 (October 30, 2019): 1950185. http://dx.doi.org/10.1142/s0217751x19501859.

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In this paper, we investigate the thermodynamic properties of rotational Kiselev black holes (KBH). Specifically, we use the first-order approximation of the event horizon (EH) to calculate thermodynamic properties for general equations of state [Formula: see text]. These thermodynamic properties include areas, entropies, horizon radii, surface gravities, surface temperatures, Komar energies and irreducible masses at the Cauchy horizon (CH) and EH. We study the products of these thermodynamic quantities, we find that these products are determined by the equation of state [Formula: see text] and strength parameter [Formula: see text]. In the case of the quintessence matter [Formula: see text], radiation [Formula: see text] and dust [Formula: see text], we discuss their properties in detail. We also generalize the Smarr mass formula and Christodoulou–Ruffini mass formula to rotational KBH. Finally, we study the phase transition and thermodynamic geometry for rotational KBH with radiation [Formula: see text]. Through analysis, we find that this phase transition is a second-order phase transition. Furthermore, we also obtain the scalar curvature in the thermodynamic geometry framework, indicating that the radiation matter may change the phase transition condition and properties for Kerr black hole.

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27

Guo, Xiongying, Huaifan Li, Lichun Zhang, and Ren Zhao. "The Phase Transition of Higher Dimensional Charged Black Holes." Advances in High Energy Physics 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/7831054.

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We have studied phase transitions of higher dimensional charge black hole with spherical symmetry. We calculated the local energy and local temperature and find that these state parameters satisfy the first law of thermodynamics. We analyze the critical behavior of black hole thermodynamic system by taking state parameters(Q,Φ)of black hole thermodynamic system, in accordance with considering the state parameters(P,V)of van der Waals system, respectively. We obtain the critical point of black hole thermodynamic system and find that the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime and is intrinsic property of black hole thermodynamic system.

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28

DUTRA, M., O. LOURENÇO, A. DELFINO, and J. S. SÁ MARTINS. "PHASE COEXISTENCE AND SPINODALS IN ASYMMETRIC NUCLEAR MATTER." International Journal of Modern Physics E 16, no. 09 (October 2007): 3006–9. http://dx.doi.org/10.1142/s0218301307008926.

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In this work we study the thermodynamic properties of an asymmetric system with arbitrary proton fraction, [Formula: see text]. We employ a Skyrme model in which surface and Coulomb effects are included phenomenologically to treat finite nuclei. We analyze the chemical and mechanical instabilities as a function of the asymmetry parameter. The coexistence surfaces (binodals) for different temperatures are constructed. We present applications to a set of finite nuclei, taking their critical parameters into account.

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29

de Vega, Hector J., and Norma G. Sanchez. "Statistical mechanics of the self-gravitating gas: Thermodynamic limit, instabilities and phase diagrams." Comptes Rendus Physique 7, no. 3-4 (April 2006): 391–97. http://dx.doi.org/10.1016/j.crhy.2006.01.006.

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30

Toyozawa, Y. "Excitonic Instabilities of Deformable Lattice - from Self-Trapping to Phase Transition." Acta Physica Polonica A 87, no. 1 (January 1995): 47–56. http://dx.doi.org/10.12693/aphyspola.87.47.

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31

Fasano, A., and M. Primicerio. "An analysis of phase transition models." European Journal of Applied Mathematics 7, no. 5 (October 1996): 439–51. http://dx.doi.org/10.1017/s0956792500002485.

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We consider phase transition processes in which the thermodynamic variables are the temperature and an order parameter. Various classes are identified and many specific examples are illustrated. In this framework the question of the range of applicability of the so-called ‘additivity rules’ is investigated, showing that they apply only to a very special type of processes.

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Semenyuk, N. A., Y. V. Kuznetsova, Vad I. Surikov, and Val I. Surikov. "THERMODYNAMIC PROPERTIES AND PHASE TRANSITION TO VO2 AND FeXO2." Dynamics of Systems, Mechanisms and Machines 7, no. 1 (2019): 227–30. http://dx.doi.org/10.25206/2310-9793-7-1-227-230.

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Rossetti Jr., G. A., J. P. Cline, and A. Navrotsky. "Phase transition energetics and thermodynamic properties of ferroelectric PbTiO3." Journal of Materials Research 13, no. 11 (November 1998): 3197–206. http://dx.doi.org/10.1557/jmr.1998.0434.

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Bessonette, Paul W. R., and Mary Anne White. "Realistic Thermodynamic Curves Describing a Second-Order Phase Transition." Journal of Chemical Education 76, no. 2 (February 1999): 220. http://dx.doi.org/10.1021/ed076p220.

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35

Nishimori, A., and M. Sorai. "Thermodynamic study on thermochromic phase transition in isopropylammonium trichlorocuprate." Journal of Physics and Chemistry of Solids 60, no. 7 (July 1999): 895–904. http://dx.doi.org/10.1016/s0022-3697(99)00016-5.

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36

Su, Ru-Keng, Rong-Gen Cai, and Peter K. N. Yu. "Nonequilibrium thermodynamic fluctuations and phase transition in black holes." Physical Review D 50, no. 4 (August 15, 1994): 2932–34. http://dx.doi.org/10.1103/physrevd.50.2932.

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37

Gavrichev, K. S., M. A. Ryumin, A. V. Khoroshilov, A. V. Tyurin, N. N. Efimov, V. M. Gurevich, G. E. Nikiforova, et al. "Thermodynamic properties and phase transition of monoclinic terbium orthophosphate." Thermochimica Acta 641 (October 2016): 63–70. http://dx.doi.org/10.1016/j.tca.2016.08.008.

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38

Mentink, S. A. M., H. Amitsuka, A. de Visser, Z. Slanič, D. P. Belanger, J. J. Neumeier, J. D. Thompson, A. A. Menovsky, J. A. Mydosh, and T. E. Mason. "Thermodynamic study of the magnetic phase transition in UNi4B." Physica B: Condensed Matter 230-232 (February 1997): 108–10. http://dx.doi.org/10.1016/s0921-4526(96)00561-3.

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39

Gim, Yongwan, and Wontae Kim. "Thermodynamic phase transition in the rainbow Schwarzschild black hole." Journal of Cosmology and Astroparticle Physics 2014, no. 10 (October 1, 2014): 003. http://dx.doi.org/10.1088/1475-7516/2014/10/003.

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40

Gorev, M. V., I. N. Flerov, A. Tressaud, J. Grannec, V. Rodriguez, and M. Couzi. "Thermodynamic Investigations of the Phase Transition in Ferroelastic CoZrF6." physica status solidi (b) 169, no. 1 (January 1, 1992): 65–71. http://dx.doi.org/10.1002/pssb.2221690108.

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41

Filinov, V. S., M. Bonitz, V. E. Fortov, W. Ebeling, P. Levashov, and M. Schlanges. "Thermodynamic Properties and Plasma Phase Transition in dense Hydrogen." Contributions to Plasma Physics 44, no. 56 (September 2004): 388–94. http://dx.doi.org/10.1002/ctpp.200410057.

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42

CHAKRABARTI, B., T. L. REMA DEVI, and A. BHATTACHARYA. "A STUDY OF QUARK-HADRON PHASE TRANSITION." International Journal of Modern Physics A 10, no. 29 (November 20, 1995): 4179–85. http://dx.doi.org/10.1142/s0217751x95001935.

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The anomalous behavior of the thermodynamic co-ordinates along with the hadronic critical temperature (Tc) is studied and the properties of the surrounding vacuum are investigated in the framework of the Ginzburg-Landau theory of superconductivity, with interesting conclusions.

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43

Liu, Hao, Fiona Strobridge, Olaf Borkiewicz, Kamila Wiaderek, Karena Chapman, Peter Chupas, and Clare Grey. "Phase transition of nanoparticulate LiFePO4during high rate cycling." Acta Crystallographica Section A Foundations and Advances 70, a1 (August 5, 2014): C357. http://dx.doi.org/10.1107/s2053273314096429.

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A fundamental understanding of an electrode material requires the elucidation of its phase transformation mechanism during charge and discharge. Ex situ methods, which are carried out under equilibrium condition, have been widely used in charactering the thermodynamic phases at different states of charge, from which a thermodynamic phase transformation pathway can be constructed. However, ex situ measurements do not always reflect the process occurred in an operating battery as the non-equilibrium operating condition might result in deviations from the thermodynamic process, especially for high-rate materials, such as LiFePO4, which is predicted to exhibit a fundamentally different phase transformation process at high rates [1,2]. To probe the process at high rate, an in situ method with reasonable temporal resolution must be employed. In this work, the high rate galvanostatic cycling process of LiFePO4 nanoparticle electrode in a customised AMPIX cell [3] was investigated in situ by time-resolved synchrotron X-ray powder diffraction. Formation of continuous non-equilibrium solid solution phases between LiFePO4 and FePO4 was observed at 10 C rate. The in situ diffraction patterns were analysed by a refinement strategy that accounts for the asymmetrical diffraction peak profiles due to Li composition variations.

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De Nittis, Giuseppe, and Antonio Moro. "Thermodynamic phase transitions and shock singularities." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2139 (November 2, 2011): 701–19. http://dx.doi.org/10.1098/rspa.2011.0459.

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We show that, under rather general assumptions on the form of the entropy function, the energy balance equation for a system in thermodynamic equilibrium is equivalent to a set of nonlinear equations of hydrodynamic type. This set of equations is integrable via the method of characteristics and it provides the equation of state for the gas. The shock wave catastrophe set identifies the phase transition. A family of explicitly solvable models of non-hydrodynamic type such as the classical plasma and the ideal Bose gas is also discussed.

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Feng, Zhong-Wen, De-Ling Tang, Dan-Dan Feng, and Shu-Zheng Yang. "The thermodynamics and phase transition of a rainbow black hole." Modern Physics Letters A 35, no. 05 (October 22, 2019): 2050010. http://dx.doi.org/10.1142/s0217732320500108.

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In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing this new kind of rainbow functions. Our results demonstrate that the rainbow gravity and generalized uncertainty principle have a great effect on the picture of Hawking radiation. They prevent black holes from total evaporation and cause a remnant. In addition, after analyzing the modified local thermodynamic quantities, we find that the effect of rainbow gravity and the generalized uncertainty principle lead to one first-order phase transition, two second-order phase transitions and two Hawking–Page-type phase transitions in the thermodynamic system of rainbow Schwarzschild black hole.

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Bakhtar, F., S. R. Otto, M. Y. Zamri, and J. M. Sarkies. "Instability in two-phase flows of steam." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2091 (December 11, 2007): 537–54. http://dx.doi.org/10.1098/rspa.2007.0087.

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In two-phase flows of steam, when the velocity is between the equilibrium and frozen speeds of sound, the system is fundamentally unstable. Because any disturbance of the system, e.g. imposition of a small supercooling on the fluid, will cause condensation, the resulting heat release will accelerate the flow and increase the supercooling and thus move the system further from thermodynamic equilibrium. But in high-speed flows of a two-phase mixture, dynamic changes affect the thermodynamic equilibrium within the fluid, leading to phase change, and the heat release resulting from condensation disturbs the flow further and can also cause the disturbances to be amplified at other Mach numbers. To investigate the existence of instabilities in such flows, the behaviour of small perturbations of the system has been examined using stability theory. It is found that, although the amplification rate is highest between the equilibrium and frozen speeds of sound, such flows are temporally unstable at all Mach numbers.

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Yin, Pei-Lin, Hai-Xiao Xiao, Wei Wei, Hong-Tao Feng, and Hong-Shi Zong. "Chiral phase transition in QED3 at finite temperature." International Journal of Modern Physics A 31, no. 36 (December 28, 2016): 1650198. http://dx.doi.org/10.1142/s0217751x16501980.

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In the framework of Dyson–Schwinger equations, we employ two kinds of criteria (one kind is the chiral condensate, the other kind is thermodynamic quantities, such as the pressure, the entropy, and the specific heat) to investigate the nature of chiral phase transitions in QED3 for different fermion flavors. It is found that the chiral phase transitions in QED3 for different fermion flavors are all typical second-order phase transitions; the critical temperature and order of the chiral phase transition obtained from the chiral condensate and susceptibility are the same with that obtained by the thermodynamic quantities, which means that they are equivalent in describing the chiral phase transition; the critical temperature decreases as the number of fermion flavors increases and there is a boundary that separates the [Formula: see text] plane into chiral symmetry breaking and restoration regions.

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Christodoulou, Dimitris M., Demosthenes Kazanas, Isaac Shlosman, and Joel E. Tohline. "Phase-Transition Theory of Instabilities. I. Second-Harmonic Instability and Bifurcation Points." Astrophysical Journal 446 (June 1995): 472. http://dx.doi.org/10.1086/175806.

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Christodoulou, Dimitris M., Demosthenes Kazanas, Isaac Shlosman, and Joel E. Tohline. "Phase-Transition Theory of Instabilities. II. Fourth-Harmonic Bifurcations and lambda -Transitions." Astrophysical Journal 446 (June 1995): 485. http://dx.doi.org/10.1086/175807.

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Colombant, D. G., and Y. Y. Lau. "Beam breakup instabilities in linear accelerators: Transition, phase mixing, and nonlinear focusing." Applied Physics Letters 53, no. 26 (December 26, 1988): 2602–4. http://dx.doi.org/10.1063/1.100172.

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