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The existence and search for thermodynamic phase transitions is of unfading interest. In this paper, we present numerical evidence of dynamical phase transitions occurring in boundary driven systems with a constrained integrated current. It…

Statistical Mechanics · Physics 2017-03-29 Ohad Shpielberg , Yaroslav Don , Eric Akkermans

An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

Statistical Mechanics · Physics 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

The Glauber model on a one-dimensional lattice with boundaries (for the ferromagnetic- and anti-ferromagnetic case) is considered. The large-time behaviour of the one-point function is studied. It is shown that, for any positive…

Statistical Mechanics · Physics 2009-11-07 Mohammad Khorrami , Amir Aghamohammadi

The evolution of particulate and multiphase systems can transition from dynamic regimes, governed by classical transport equations with well-defined damping coefficients, to anomalously slow relaxation described by rate equations when the…

Soft Condensed Matter · Physics 2025-08-20 Carlos E. Colosqui

Electromigration-induced step bunching in the presence of sublimation or deposition is studied theoretically in the attachment-limited regime. We predict a phase transition as a function of the relative strength of kinetic asymmetry and…

Statistical Mechanics · Physics 2009-11-11 Vladislav Popkov , Joachim Krug

In this paper we present a hydrodynamic approach to describe the motion of migrating bacteria as a special class of self-propelled systems. Analytical and numerical calculations has been performed to study the behavior of our model in the…

Soft Condensed Matter · Physics 2015-06-25 Zoltan Csahok , Andras Czirok

We consider a sharp interface kinetic model of phase transitions accompanied by elastic strain, together with its phase-field realization. Quantitative results for the steady-state growth of a new phase in a strip geometry are obtained and…

Materials Science · Physics 2015-06-25 Efim A. Brener , V. I. Marchenko , R. Spatschek

This letter investigates the molecular dynamics of inelastic disks without external forcing. By introducing a new observation frame with a rescaled time, we observe the virtual steady states converted from asymptotic energy dissipation…

Statistical Mechanics · Physics 2009-10-31 Teruhisa S. Komatsu

An Ising model with local Glauber dynamics is studied under the influence of additional kinetic restrictions for the spin-flip rates depending on the orientation of neighboring spins. Even when the static interaction between the spins is…

Statistical Mechanics · Physics 2009-10-31 Steffen Trimper

The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

Statistical Mechanics · Physics 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

We inspect signatures of dynamical quantum phase transitions driven by two types of quenches acting on a correlated quantum dot embedded between superconducting and metallic reservoirs. Under stationary conditions the proximity induced…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Kacper Wrześniewski , Ireneusz Weymann , Nicholas Sedlmayr , Tadeusz Domański

In this paper, we study the kinetic Vicsek model, which serves as a starting point for describing the polarization phenomena observed in the experiments of fibroblasts moving on liquid crystalline substrates. The long-time behavior of the…

Analysis of PDEs · Mathematics 2025-04-18 Mengyang Gu , Siming He

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

We concentrate on kinetic models for swarming with individuals interacting through self-propelling and friction forces, alignment and noise. We assume that the velocity of each individual relaxes to the mean velocity. In our present case,…

Analysis of PDEs · Mathematics 2019-12-03 Mihaï Bostan , José Antonio Carrillo

We study dynamical phase transitions in a model supercooled liquid. These transitions occur in ensembles of trajectories that are biased towards low (or high) dynamical activity. We compare two different measures of activity that were…

Statistical Mechanics · Physics 2015-06-15 Christopher J. Fullerton , Robert L. Jack

Two-phase flow systems in porous media have complex dynamics. It is well established that a wide range of system parameters like viscosities and porosity as well as flow parameters such as pressure gradient and fluid saturation have strong…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

We study the effects of solute interactions on osmotic transport through pores. By extending single-file, single-species kinetic models to include entrance of solute into membrane pores, we model the statistical mechanics of competitive…

Materials Science · Physics 2009-10-31 Tom Chou

We demonstrate that absorbing phase transitions in one dimension may be induced by the dynamics of a single site. As an example we consider a one-dimensional model of diffusing particles, where a single site at the boundary evolves…

Statistical Mechanics · Physics 2008-04-23 A. C. Barato , H. Hinrichsen

We present two approaches to the dynamics of a quench-induced phase transition in quantum Ising model. The first one retraces steps of the standard approach to thermodynamic second order phase transitions in the quantum setting. The second…

Statistical Mechanics · Physics 2008-11-26 Wojciech H. Zurek , Uwe Dorner , Peter Zoller

We present a non-isothermal mesoscopic model for investigation of the phase transition dynamics of thermoresponsive polymers. Since this model conserves energy in the simulations, it is able to correctly capture not only the transient…

Chemical Physics · Physics 2015-04-28 Zhen Li , Yu-Hang Tang , Xuejin Li , George Em Karniadakis
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