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We propose a model describing the liquid-vapour phase transition according to a phase-field approach. The model takes up a setting proposed by the second author, where a phase field is introduced whose equilibrium values 0 and 1 are…

Mathematical Physics · Physics 2010-12-14 V. Berti , M. Fabrizio , D. Grandi

A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces and multiple crystal orientations in non-equilibrium processing phenomena. Many basic properties of the model are calculated…

Soft Condensed Matter · Physics 2009-11-10 K. R. Elder , Martin Grant

Nonequlibrium phase transition of an open Takayama-Lin Liu-Maki chain coupled with two reservoirs is investigated by combining a mean-field approximation and a formula characterizing nonequlibrium steady states, which is obtained from the…

Statistical Mechanics · Physics 2013-09-24 Shigeru Ajisaka , Hisashi Nishimura , Shuichi Tasaki , Ichiro Terasaki

The irreversible growth of a magnetic film with spins having two possible orientations is studied in three-dimensional confined geometries of size $L\times L\times M$, where $M\gg L$ is the growing direction. A competing situation with two…

Condensed Matter · Physics 2009-11-07 Julián Candia , Ezequiel V. Albano

We investigate whether surface reconstruction order exists in stationary growing states, at all length scales or only below a crossover length, $l_{\rm rec}$. The later would be similar to surface roughness in growing crystal surfaces;…

Statistical Mechanics · Physics 2009-11-07 Chen-Shan Chin , Marcel den Nijs

We revisit the proof of the liquid-vapor phase transition for systems with finite-range interaction by Lebowitz, Mazel and Presutti and extend it to the case where we additionally include a hard-core interaction to the Hamiltonian. We…

Mathematical Physics · Physics 2015-12-03 Elena Pulvirenti , Dimitrios Tsagkarogiannis

We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described by the Lindblad master equation. The analytical solution for the nonequilibrium steady state found for particular parameters in [J.Stat.Mech.,…

Statistical Mechanics · Physics 2011-01-13 Marko Znidaric

We present the results of analytical and numerical studies of a one-dimensional nonlocal and nonlinear diffusion equation describing non-equilibrium processes ranging from aggregation phenomena to cooperation of individuals. We study a…

Statistical Mechanics · Physics 2007-05-23 Fabio Cecconi , Jayanth R. Banavar , Amos Maritan

I show that the evolution of a two dimensional surface in a Laplacian field can be described by Hamiltonian dynamics. First the growing region is mapped conformally to the interior of the unit circle, creating in the process a set of…

Condensed Matter · Physics 2008-02-03 Raphael Blumenfeld

We investigate the behavior of nonequilibrium phase transitions under the influence of disorder that locally breaks the symmetry between two symmetrical macroscopic absorbing states. In equilibrium systems such "random-field" disorder…

Statistical Mechanics · Physics 2016-02-23 Hatem Barghathi , Thomas Vojta

The phase diagram of the monoaxial chiral helimagnet as a function of temperature (T ) and magnetic field with components perpendicular (H x ) and parallel (H z ) to the chiral axis is theoretically studied via the variational mean field…

Strongly Correlated Electrons · Physics 2018-02-06 Victor Laliena , Javier Campo , Yusuke Kousaka

Solutions of hydrodynamical equations are presented for the equation of state of the Var der Waals type allowing for the first order phase transition. Attention is focused on description of the hadron-quark phase transition in heavy ion…

Nuclear Theory · Physics 2009-11-10 V. V. Skokov , D. N. Voskresensky

A driven Ising model with friction due to magnetic correlations has recently been proposed by Kadau et al. (Phys. Rev. Lett. 101, 137205 (2008)). The non-equilibrium phase transition present in this system is investigated in detail using…

Statistical Mechanics · Physics 2010-01-05 Alfred Hucht

The alternative approach to the displacement of gas/liquid equilibrium is developed on the basis of the Clapeyron equation. The phase transition in the system with well-established properties is taken as a reference process to search for…

Chemical Physics · Physics 2010-06-15 Vladimir Kh. Dobruskin

The morphogenesis of cells and tissues involves an interplay between chemical signals and active forces on their surrounding surface layers. The complex interaction of hydrodynamics and material flows on such active surfaces leads to…

Cell Behavior · Quantitative Biology 2023-06-30 Sebastian Aland , Claudia Wohlgemuth

Long-range spatiotemporal correlations may play important roles in nonequilibrium surface growth process. In order to investigate the effects of long-range temporal correlation on dynamic scaling of growing surfaces, we perform extensive…

Statistical Mechanics · Physics 2021-08-11 Tianshu Song , Hui Xia

One of the main difficulties in proving convergence of discrete models of surface growth to the Kardar-Parisi-Zhang (KPZ) equation in dimensions higher than one is that the correct way to take a scaling limit, so that the limit is…

Probability · Mathematics 2022-11-30 Sourav Chatterjee

We consider first-order phase transitions of the Universe in the radiation-dominated era. We argue that in general the velocity of interfaces is non-relativistic due to the interaction with the plasma and the release of latent heat. We…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ariel Megevand

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

A statistical theory of two-dimensional Laplacian growths is formulated from first-principles. First the area enclosed by the growing surface is mapped conformally to the interior of the unit circle, generating a set of dynamically evolving…

Condensed Matter · Physics 2009-10-22 Raphael Blumenfeld
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