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We present a non-linear elastic model of a coherent transition with discontinuous volume change in an isotropic solid. The model reproduces the anomalous thermodynamics typical of coherent equilibrium including intrinsic hysteresis (for a…

材料科学 · 物理学 2011-11-09 S. Bustingorry , E. A. Jagla , J. Lorenzana

Solid-solid collapse transition in open framework structures is ubiquitous in nature. The real difficulty in understanding detailed microscopic aspects of such transitions in molecular systems arises from the interplay between different…

软凝聚态物质 · 物理学 2015-06-15 Rakesh S. Singh , Biman Bagchi

A class of isotropic and scale invariant strain energy functions is given for which the corresponding spherically symmetric elastic motion includes bodies whose diameter becomes infinite with time or collapses to zero in finite time,…

偏微分方程分析 · 数学 2023-12-12 Thomas C. Sideris

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

统计力学 · 物理学 2015-09-04 Hisato Komatsu

While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points…

材料科学 · 物理学 2024-04-18 Yury Grabovsky , Lev Truskinovsky

The pressure-temperature phase diagram of a one-component system, with particles interacting through a spherically symmetric pair potential in two dimensions is studied. The interaction consists of a hard core plus an additional repulsion…

统计力学 · 物理学 2009-10-31 E. A. Jagla

It is known by now that amorphous solids at zero temperature do not possess a nonlinear elasticity theory: besides the shear modulus which exists, all the higher order coefficients do not exist in the thermodynamic limit. Here we show that…

软凝聚态物质 · 物理学 2016-06-15 Itamar Procaccia , Corrado Rainone , Carmel Shor , Murari Singh

We present a pedagogical review of the swelling thermodynamics and phase transitions of polymer gels. In particular, we discuss how features of the volume phase transition of the gel's osmotic equilibrium is analogous to other transitions…

软凝聚态物质 · 物理学 2019-06-13 Michael S. Dimitriyev , Ya-Wen Chang , Paul M. Goldbart , Alberto Fernández-Nieves

The nature of the globule-coil transition of surface-confined polymers has been an issue of debate. Here this 2D collapse transition is studied through a partially directed lattice model. In the general case of polymers with positive…

软凝聚态物质 · 物理学 2007-05-23 Haijun Zhou , Jie Zhou , Zhong-Can Ou-Yang , Sanjay Kumar

We analyze thermodynamic models for fluid systems in equilibrium based on a virial expansion of the internal energy in terms of the volume density. We prove that the models, formulated for finite-size systems with $N$ particles, are exactly…

统计力学 · 物理学 2026-04-21 Xin An , Francesco Giglio , Giulio Landolfi

We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

软凝聚态物质 · 物理学 2020-08-21 Derek Frydel , Yan Levin

In this paper we present a new thermodynamically consistent phase transition model describing the evolution of a liquid substance, e.g., water, in a rigid container $\Omega$ when we freeze the container. Since the density $\varrho_{2}$ of…

偏微分方程分析 · 数学 2014-01-10 Michel Fremond , Elisabetta Rocca

We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent…

统计力学 · 物理学 2015-03-14 Paul Chleboun , Stefan Grosskinsky

The evolution of the aging process of glassy materials quenched from temperatures above their glass transition temperature $T_g$, when plotting the relaxed enthalpy versus the decrease in volume, leads to a slope comparable to the…

材料科学 · 物理学 2017-04-27 Vassiliki Katsika-Tsigourakou

We study the non-equilibrium dynamics of the zero temperature Mott insulator- superfluid quantum phase transition in a lattice of weakly coupled Bose-Einstein condensates. We show that crossing the critical point from the insulating to the…

介观与纳米尺度物理 · 物理学 2007-05-23 J. Dziarmaga , A. Smerzi , W. H. Zurek , A. R. Bishop

Lamellar or smectic phases often have an intricate intralamellar structure that remains scarcely understood from a microscopic viewpoint. In this work, we use molecular dynamics simulations to study the effect of volume exclusion and…

软凝聚态物质 · 物理学 2025-01-22 Jaydeep Mandal , Henricus H. Wensink , Prabal K. Maiti

This study introduces a modeling approach aimed at elucidating the pivotal role of symmetry in phase transitions, focusing specifically on the isotropic-nematic (I-N) transition characteristic of liquid crystal systems. By leveraging…

软凝聚态物质 · 物理学 2025-01-22 Szymon Starzonek , Aleš Iglič , Aleksandra Drozd-Rzoska , Sylwester J. Rzoska

The glass transition refers to the non-equilibrium process by which an equilibrium liquid is transformed to a non-equilibrium disordered solid, or vice versa. Associated response functions, such as heat capacities, are markedly different on…

软凝聚态物质 · 物理学 2013-03-26 Aaron S. Keys , Juan P. Garrahan , David Chandler

The present work is an endeavour to determine analytically features of the stationary measure of a non-integrable zero-range process, and to investigate the possible existence of phase transitions for such a nonequilibrium model. The rates…

统计力学 · 物理学 2009-11-20 C Godreche

Phase transition in spherically symmetric collapse of a massless scalar field is studied in 4-d Einstein gravity. A class of exact solutions that show the evolution of a constant incoming energy flux turned on at a point in the past null…

高能物理 - 理论 · 物理学 2007-05-23 Youngjai Kiem
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