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This is a short survey on recent results obtained by the authors on dynamical phase transitions of interacting particle systems. We consider particle systems with exclusion dynamics, but it is conjectured that our results should hold for a…

Probability · Mathematics 2013-10-22 Tertuliano Franco , Patrícia Gonçalves , Adriana Neumann

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

Statistical Mechanics · Physics 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

It has been proposed (Phys. Rev. E {\bf 71}, 026121 (2005)) that unlike the short range contact process, a long-range counterpart may lead to the existence a discontinuous phase transition in one dimension. Aiming at exploring such link,…

Statistical Mechanics · Physics 2013-06-14 Carlos E. Fiore , Mário J. de Oliveira

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

Statistical Mechanics · Physics 2020-08-19 Denis S. Grebenkov

We study the quantum phase transition mechanisms that arise in the Interacting Boson Model. We show that the second-order nature of the phase transition from U(5) to O(6) may be attributed to quantum integrability, whereas all the…

Nuclear Theory · Physics 2009-11-10 J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

We consider driven many-particle models which have a phase transition between an active and an absorbing phase. Like previously studied models, we have particle conservation, but here we introduce an additional symmetry - when two particles…

Statistical Mechanics · Physics 2017-01-18 Daniel Hexner , Dov Levine

Phase transitions are the macroscopic manifestation of microscopic processes that drive a system towards a new state. The detailed evolution of these processes, particularly in abrupt phase transitions, are currently not fully understood.…

Physics and Society · Physics 2026-01-21 Leyang Xue , Shengling Gao , Bnaya Gross , Orr Levy , Daqing Li , Zengru Di , Lazaros K. Gallos , Shlomo Havlin

In this work we examine a system consisting of a confined one-dimensional arrangement of atoms that we describe by using the 2-dimensional ${\mathbb C}P^{N-1}$ model, restricted to an interval and at finite temperature. We develop a method…

High Energy Physics - Theory · Physics 2019-10-21 Antonino Flachi , Guglielmo Fucci , Muneto Nitta , Satoshi Takada , Ryosuke Yoshii

Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended…

Quantum Physics · Physics 2021-06-09 Pavel Stránský , Milan Šindelka , Pavel Cejnar

We study a driven zero range process which models a closed system of attractive particles that hop with site-dependent rates and whose steady state shows a condensation transition with increasing density. We characterise the dynamical…

Statistical Mechanics · Physics 2009-11-10 Kavita Jain , Mustansir Barma

We study, in the multipolar coupling scheme, a uniformly accelerated multilevel hydrogen atom in interaction with the quantum electromagnetic field near a conducting boundary and separately calculate the contributions of the vacuum…

Quantum Physics · Physics 2009-11-13 Hongwei Yu , Zhiying Zhu

Interacting bosons generically form a superfluid state. In the presence of disorder it can get converted into a compressible Bose glass state. Here we study such transition in one dimension at moderate interaction using bosonization and…

Disordered Systems and Neural Networks · Physics 2012-07-17 Zoran Ristivojevic , Aleksandra Petkovic , Pierre Le Doussal , Thierry Giamarchi

Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber

The average current of an overdamped Brownian particle moving along the axis of a three-dimensional periodic tube is investigated in the presence of a symmetric potential and a temporally symmetric unbiased external force. Reduction of the…

Statistical Mechanics · Physics 2015-05-20 Bao-quan Ai , Liang-gang Liu

The ABC model is a simple diffusive one-dimensional non-equilibrium system which exhibits a phase transition. Here we show that the cumulants of the currents of particles through the system become singular near the phase transition. At the…

Statistical Mechanics · Physics 2015-05-28 A. Gerschenfeld , B. Derrida

We investigate a 2D dynamical absorbing state model of monodisperse disks, in which rich phase behavior arises from interactions consisting solely of repulsive displacements between overlapping particles. The phase diagram reveals several…

Soft Condensed Matter · Physics 2025-12-23 Ashley Z. Guo , Sam Wilken , Dov Levine , Paul M. Chaikin

We consider stochastic diffusion processes absorbed at the boundary of a domain. It is shown that there exist initial distributions which ensure a given decreasing of density of the absorbed process.

Probability · Mathematics 2007-05-23 Nikolai Dokuchaev

We investigate the effect of noise strength on the macroscopic ordering dynamics of systems with symmetric absorbing states. Using an explicit stochastic microscopic model, we present evidence for a phase transition in the coarsening…

Statistical Mechanics · Physics 2013-05-20 D. I. Russell , R. A. Blythe

A non-equilibrium thermodynamics model able to analyze the combined effect of diffusion and adsorption in porous materials is proposed. The model considers the coupled dynamics of the diffusive phase, described by a diffusion type equation,…

Materials Science · Physics 2015-06-04 I. Santamaria-Holek , Z. J. Grzywna , J. M. Rubi

A nonequilibrium Potts-like model with $q$ absorbing states is studied using Monte Carlo simulations. In two dimensions and $q=3$ the model exhibits a discontinuous transition. For the three-dimensional case and $q=2$ the model exhibits a…

Statistical Mechanics · Physics 2009-11-07 A. Lipowski , M. Droz
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