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For different phases to coexist in equilibrium at constant temperature $T$ and pressure $P$, the condition of equal chemical potential $\mu$ must be satisfied. This condition dictates that, for a single-component system, the maximum number…

软凝聚态物质 · 物理学 2016-11-23 Kenji Akahane , John Russo , Hajime Tanaka

We present an example counter to the widely-accepted concept on equilibrium states that "Any thermodynamic equilibrium state of two component systems is determined by specifying 4 thermodynamic variables that include at least 1 extensive…

软凝聚态物质 · 物理学 2018-05-16 Yuki Norizoe , Toshihiro Kawakatsu

Gibbs' phase rule states that two-phase coexistence of a single-component system, characterized by an n-dimensional parameter-space, may occur in an n-1-dimensional region. For example, the two equilibrium phases of the Ising model coexist…

统计力学 · 物理学 2009-11-10 M. A. Munoz , F. de los Santos , M. M. Telo da Gama

Realistic equations of state valid in the whole state space of a multi-component mixture should satisfy at least three important constraints: (i) The Gibbs phase rule holds. (ii) At low densities, one can deduce a virial equation of state…

统计力学 · 物理学 2013-08-01 Arnold Neumaier

Phase diagrams are essential tools of the materials scientist, showing which phases are at equilibrium under a set of applied thermodynamic conditions. Essentially all phase diagrams today are two dimensional, typically constructed with…

数学物理 · 物理学 2024-04-10 Wenhao Sun , Matthew J. Powell-Palm , Jiadong Chen

We present the first examples in black hole thermodynamics of multicritical phase transitions, in which more than three distinct black hole phases merge at a critical point. Working in the context of non-linear electrodynamics, we…

高能物理 - 理论 · 物理学 2023-11-08 Masoumeh Tavakoli , Jerry Wu , Robert B. Mann

We report a study of the phase behavior of multiple-occupancy crystals through simulation. We argue that in order to reproduce the equilibrium behavior of such crystals it is essential to treat the number of lattice sites as a constraining…

软凝聚态物质 · 物理学 2009-11-13 Bianca M. Mladek , Patrick Charbonneau , Daan Frenkel

When non-adsorbing polymers are added to an isotropic suspension of rod-like colloids, the colloids effectively attract each other via depletion forces. We performed Monte Carlo simulations to study the phase diagram of such rod-polymer…

软凝聚态物质 · 物理学 2009-11-13 S. Jungblut , R. Tuinier , K. Binder , T. Schilling

We study equilibrium droplets in two-phase systems at parameter values corresponding to phase coexistence. Specifically, we give a self-contained microscopic derivation of the Gibbs-Thomson formula for the deviation of the pressure and the…

数学物理 · 物理学 2007-05-23 Marek Biskup , Lincoln Chayes , Roman Kotecky

The observation of stacks of distinct layers in a colloidal or liquid mixture in sedimentation-diffusion equilibrium is a striking consequence of bulk phase separation. Drawing quantitative conclusions about the phase diagram is, however,…

软凝聚态物质 · 物理学 2013-09-10 Daniel de las Heras , Matthias Schmidt

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

软凝聚态物质 · 物理学 2016-08-31 R. M. L. Evans , W. C. K. Poon

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

无序系统与神经网络 · 物理学 2014-03-03 G. Parisi , B. Seoane

A lattice system of interacting temperature loops, which is used in the Euclidean approach to describe equilibrium thermodynamic properties of an infinite system of interacting quantum particles performing anharmonic oscillations (quantum…

数学物理 · 物理学 2007-05-23 Yuri Kozitsky , Tatiana Pasurek

Designing the phase behavior of multicomponent mixtures is a rich area with many potential applications. One key question is how more than $M+1$ phases, as would normally be allowed by Gibbs' phase rule at generic temperature in a mixture…

统计力学 · 物理学 2026-02-17 Filipe C. Thewes , Peter Sollich

Binary mixtures of semiflexible polymers with the same chain length but different persistence lengths separate into two coexisting different nematic phases when the osmotic pressure of the lyotropic solution is varied. Molecular Dynamics…

软凝聚态物质 · 物理学 2020-09-15 Andrey Milchev , Sergei A. Egorov , Jiarul Midya , Kurt Binder , Arash Nikoubashman

A theoretical model of shape-anisometric particles embedded in a cubic lattice is formulated for binary mixtures combining rod-like, plate-like and spherical particles. The model aims at providing a tool for the prediction and…

软凝聚态物质 · 物理学 2011-05-31 Stavros Peroukidis , Alexandros G. Vanakaras , Demetri J. Photinos

A number of experimental and theoretical findings in age hardening alloys suggest that specific solute elements preferentially segregate to and reduce the energy of the interphase boundary (IB). This segregation mechanism can stabilize the…

材料科学 · 物理学 2019-10-29 Sourabh B Kadambi , Fadi Abdeljawad , Srikanth Patala

We consider a two-dimensional equilibrium measure problem under the presence of quadratic potentials with a point charge and derive the explicit shape of the associated droplets. This particularly shows that the topology of the droplets…

数学物理 · 物理学 2023-01-03 Sung-Soo Byun

Fluid phase behavior of charge-stabilized colloidal suspensions is explored by applying a new variant of the Gibbs ensemble Monte Carlo simulation method to a coarse-grained one-component model with implicit microions and solvent. The…

软凝聚态物质 · 物理学 2011-06-28 Ben Lu , Alan R. Denton

We present a unified approach to thermodynamic description of one, two and three dimensional phases and phase transformations among them. The approach is based on a rigorous definition of a phase applicable to thermodynamic systems of any…

材料科学 · 物理学 2015-07-01 Timofey Frolov , Yuri Mishin
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