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This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

Analysis of PDEs · Mathematics 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

Stimulus-induced volumetric phase transition in gels may be potentially exploited for various bio-engineering and mechanical engineering applications. Since the discovery of the phenomenon in the 1970s, extensive experimental research has…

Soft Condensed Matter · Physics 2024-08-23 Asif Raza , Sanhita Das , Debasish Roy

We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

We study the mean-field phase diagram of glassy systems in a field pointing in the direction of a metastable state. We find competition among a ``magnetized'' and a ``disordered'' phase, that are separated by a coexistence line as in…

Statistical Mechanics · Physics 2009-10-30 Silvio Franz , Giorgio Parisi

We investigate phase transitions and critical phenomena in Kerr-Newman-Anti de Sitter black holes in the framework of the geometry of their equilibrium thermodynamic state space. The scalar curvature of these state space Riemannian…

High Energy Physics - Theory · Physics 2015-05-18 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

A lattice model for active matter is studied numerically, showing that it displays wettings transitions between three distinctive phases when in contact with an impenetrable wall. The particles in the model move persistently, tumbling with…

Soft Condensed Matter · Physics 2017-09-13 Néstor Sepúlveda , Rodrigo Soto

The transport properties on the two-dimensional surface of coupled multilayer heterostructures are studied in the integer quantum Hall states. We emphasize the criticality of the surface state and the phase coherent transport properties in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vasiliki Plerou , Ziqiang Wang

We study the formation and the shape of a liquid meniscus in a wedge with opening angle $2\phi$ which is exposed to a vapor phase. By applying a suitable effective interface model, at liquid-vapor coexistence and at a temperature $T_{\phi}$…

Soft Condensed Matter · Physics 2009-10-31 K. Rejmer , S. Dietrich , M. Napiorkowski

Liquid-vapor flows with phase transitions have a wide range of applications. Isothermal two-phase flows described by a single set of isothermal Euler equations, where the mass transfer is modeled by a kinetic relation, have been…

Analysis of PDEs · Mathematics 2022-11-03 Maren Hantke , Ferdinand Thein

The phase diagram of water harbours many mysteries: some of the phase boundaries are fuzzy, and the set of known stable phases may not be complete. Starting from liquid water and a comprehensive set of 50 ice structures, we compute the…

Statistical Mechanics · Physics 2021-01-27 Aleks Reinhardt , Bingqing Cheng

Recent works unraveled an intriguing finite-time dynamical phase transition in the thermal relaxation of the mean field Curie-Weiss model. The phase transition reflects a sudden switch in the dynamics. Its existence in systems with a finite…

Statistical Mechanics · Physics 2023-03-28 Kristian Blom , Aljaž Godec

We provide a consistent statistical-mechanical treatment for describing the thermodynamics and the structure of fluids embedded in the hyperbolic plane. In particular, we derive a generalization of the virial equation relating the bulk…

Statistical Mechanics · Physics 2009-05-18 François Sausset , Gilles Tarjus , Pascal Viot

We construct two spin models on lattices (both two and three-dimensional) to study the capability of quantum computational power as a function of temperature and the system parameter. There exists a finite region in the phase diagram such…

Quantum Physics · Physics 2014-05-19 Tzu-Chieh Wei , Ying Li , Leong Chuan Kwek

Many systems in nature exhibit transitions between fluid-like states and solid-like states, or "jamming transitions". There is a strong theoretical foundation for understanding equilibrium phase transitions that involve solidification, or…

Soft Condensed Matter · Physics 2008-11-14 Michael Dennin

We study thermodynamic of strange quark matter (SQM) using the analytic expressions of free and internal energies. We investigate two regimes of the high density and low density separately. As a vital program, in the case of a massless…

General Relativity and Quantum Cosmology · Physics 2014-12-23 H. Gholizade , A. Altaibayeva , R. Myrzakulov

The determination of phase behavior and, in particular, the nature of phase transitions in two-dimensional systems is often clouded by finite size effects and by access to the appropriate thermodynamic regime. We address these issues using…

Soft Condensed Matter · Physics 2019-10-02 Shaghayegh Darjani , Joel Koplik , Sanjoy Banerjee , Vincent Pauchard

We present the phase diagram and critical properties of a coupled $XY$-Ising model on a triangular lattice using the mean-field approximation, the Migdal-Kadanoff scheme of renormalization group and Monte-Carlo simulations. The topology of…

Condensed Matter · Physics 2009-10-28 M. Hébert , M. L. Plumer

We derive the equations of motion for a planar rigid body of circular shape moving in a 2D perfect fluid with point vortices using symplectic reduction by stages. After formulating the theory as a mechanical system on a configuration space…

Dynamical Systems · Mathematics 2009-07-22 Joris Vankerschaver , Eva Kanso , Jerrold E. Marsden