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We introduce an effective scalar field theory to describe the He-IV phase diagram, which can be considered as a generalization of the XY model which gives the usual lambda-transition. This theory results from a Ginzburg-Landau Hamiltonian…

Other Condensed Matter · Physics 2009-11-11 J. M. Carmona , S. Jimenez , J. Polonyi , A. Tarancon

We develop and harness a phase field simulation method to study liquid filling on grooved surfaces. We consider both short-range and long-range liquid-solid interactions, with the latter including purely attractive and repulsive…

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

We consider single-file diffusion in an open system with two species $A,B$ of particles. At the boundaries we assume different reservoir densities which drive the system into a non-equilibrium steady state. As a model we use an…

Statistical Mechanics · Physics 2007-05-23 A. Brzank , G. M. Schütz

We propose a model that describes phase transition including metastable phases present in the van der Waals Equation of State (EoS). We introduce a dynamical system that is able to depict the mass transfer between two phases, for which…

Numerical Analysis · Mathematics 2014-02-07 François James , Hélène Mathis

The main objective of this article is to study the nature of the Andrews critical point in the gas-liquid transition in a physical-vapor transport (PVT) system. A dynamical model, consistent with the van der Waals equation near the Andrews…

Soft Condensed Matter · Physics 2010-07-15 Tian Ma , Shouhong Wang

Liquid-liquid phase separation has recently emerged as an important topic in the context of cellular organization. Within this context, there are multiple poorly understood features; for instance hints of critical behavior in the plasma…

Statistical Mechanics · Physics 2024-06-25 Felix Herrmann , Burkhard Dünweg , Martin Girard

We present a multi-phase-field model to describe quantitatively nanowire growth by the vapor-liquid-solid (VLS) process. The free-energy functional of this model depends on three non-conserved order parameters that distinguish the vapor,…

Materials Science · Physics 2018-03-21 Nan Wang , Moneesh Upmanyu , Alain Karma

It is demonstrated that the crossover between gas- and liquid-like regions on the phase diagram of the Lennard-Jones system occurs at a fixed value of the density divided by its value at the freezing point, $\rho/\rho_{\rm fr}\simeq 0.35$.…

Statistical Mechanics · Physics 2022-03-29 Sergey Khrapak

Phase transitions are in the focus of the modeling of multiphase flows. A large number of models is available to describe such processes. We consider several different two phase models that are based on the Euler equations of compressible…

Analysis of PDEs · Mathematics 2014-06-06 Maren Hantke , Ferdinand Thein

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

Using a generalized order parameter gradient expansion within density functional theory, we derive a phase-field-crystal model for liquid crystals composed by apolar particles in three spatial dimensions. Both the translational density and…

Soft Condensed Matter · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

We present the first example of a phase transition in a nonequilibrium steady-state that can be argued analytically to be first order. The system of interest is a two-species reaction-diffusion problem whose control parameter is the total…

Statistical Mechanics · Physics 2009-09-25 K. Oerding , F. van Wijland , J. -P. Leroy , H. J. Hilhorst

A class of systems exists in which dissipation, external drive and interactions compete and give rise to non equilibrium phases that would not exist without the drive. There, phase transitions could occur without the breaking of any…

Quantum Physics · Physics 2023-06-28 Giovanni Ferioli , Antoine Glicenstein , Igor Ferrier-Barbut , Antoine Browaeys

The study of critical phenomena and phase transitions is an important part of modern condensed matter physics. In this regard, the phenomenological Landau theory has been extraordinarily useful. Hereby we present an alternative theoretical…

Statistical Mechanics · Physics 2014-02-24 Yi Wang , Long-Qing Chen , Zi-Kui Liu

Effect of confinement on the liquid-liquid transition of water are studied by simulations in the Gibbs ensemble. Upon cooling along the liquid-vapor coexistence curve, confined water undergoes transition from normal to strongly tetrahedral…

Soft Condensed Matter · Physics 2007-05-23 Ivan Brovchenko , Alla Oleinikova

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

Mathematical Physics · Physics 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

In this study, we have derived a thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. This model accommodates variations in physical properties such as density, viscosity, heat capacity, and…

Fluid Dynamics · Physics 2024-04-09 Yanxiao Sun , Jiang Wu , Maosheng Jiang , Steven M. Wise , Zhenlin Guo

The effect of nonequilibrium solute trapping by a growing solid under rapid solidification conditions is studied using a phase-field model. Considering a continuous steady-state concentration profile across the diffuse solid-liquid…

Materials Science · Physics 2007-05-23 Denis Danilov , Britta Nestler

We examine how systems in non-equilibrium steady states close to a continuous phase transition can still be described by a Landau potential if one forgoes the assumption of analyticity. In a system simultaneously coupled to several baths at…

Statistical Mechanics · Physics 2020-05-11 Camille Aron , Claudio Chamon
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