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Phase transitions of reaction-diffusion systems with site occupation restriction and with particle creation that requires n>1 parents and where explicit diffusion of single particles (A) exists are reviewed. Arguments based on mean-field…

Statistical Mechanics · Physics 2015-06-24 Geza Odor

We establish a set of nonequilibrium quantum phase transitions in the Dicke model by considering a monochromatic nonadiabatic modulation of the atom-field coupling. For weak driving the system exhibits a set of sidebands which allow the…

Quantum Physics · Physics 2012-01-31 V. M. Bastidas , C. Emary , B. Regler , T. Brandes

The physics of critical phenomena in a many-body system far from thermal equilibrium is an interesting and important issue to be addressed both experimentally and theoretically. The trapped cold atoms have been actively used as a clean and…

Atomic Physics · Physics 2017-09-13 Geol Moon , Myoung-Sun Heo , Yonghee Kim , Heung-Ryoul Noh , Wonho Jhe

The steady state shock formation in processes like nonconserving asymmetric simple exclusion processes in varied situations is shown to be a nonequilibrium critical phenomenon. The diverging length scales and the quantitative description of…

Statistical Mechanics · Physics 2009-11-10 Sutapa Mukherji , Somendra M. Bhattacharjee

A complete set of Feynman rules is derived, which permits a perturbative description of the nonequilibrium dynamics of a symmetry-breaking phase transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a naive expansion…

High Energy Physics - Theory · Physics 2009-10-31 Ian D. Lawrie

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

Nonlinear wave propagation in parity-time ($\mathcal{PT}$) symmetric localized potentials is investigated analytically near a phase-transition point where a pair of real eigenvalues of the potential coalesce and bifurcate into the complex…

Pattern Formation and Solitons · Physics 2016-06-29 Sean Nixon , Jianke Yang

A class of nonequilibrium models with short-range interactions and sequential updates is presented. The models describe one dimensional growth processes which display a roughening transition between a smooth and a rough phase. This…

Condensed Matter · Physics 2009-10-28 Uri Alon , Martin Evans , Haye Hinrichsen , David Mukamel

Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have…

Optimization and Control · Mathematics 2026-01-09 Stefano Almi , Massimo Fornasier , Jona Klemenc , Alessandro Scagliotti

We consider nonequilibrium phase transitions in weighted scale-free networks, in which highly connected nodes, which are created earlier in time are partially immunized. For epidemic spreading we solve the dynamical mean-field equations and…

Statistical Mechanics · Physics 2010-08-09 Márton Karsai , Róbert Juhász , Ferenc Iglói

First-order nonequilibrium phase transitions observed in active matter, fluid dynamics, biology, climate science, and other systems with irreversible dynamics are challenging to analyze because they cannot be inferred from a simple free…

Statistical Mechanics · Physics 2022-06-06 Ruben Zakine , Eric Vanden-Eijnden

Quenched disorder in absorbing phase transitions can disrupt the structure and symmetry of reaction-diffusion processes, offering a more accurate mapping to real physical systems. We developed a temporally quenched disorder method in the…

Statistical Mechanics · Physics 2026-02-25 Yanyang Wang , Yuxiang Yang , Wei Li

We show that a collection of independent Ising spins evolving stochastically can display surprisingly large fluctuations towards ordered behaviour, as quantified by certain types of time-integrated plaquette observables, despite the…

Statistical Mechanics · Physics 2020-04-22 Loredana M. Vasiloiu , Tom H. E. Oakes , Federico Carollo , Juan P. Garrahan

Many social, biological, and economic systems can be approached by complex networks of interacting units. The behaviour of several models on small-world networks has recently been studied. These models are expected to capture the essential…

Statistical Mechanics · Physics 2009-11-07 Alejandro D. Sanchez , Juan M. Lopez , Miguel A. Rodriguez

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

We consider a simple discrete-time Markov chain with values in $[0,\infty)^{Z^d}$. The Markov chain describes various interesting examples such as oriented percolation, directed polymers in random environment, time discretizations of binary…

Probability · Mathematics 2009-06-26 Nobuo Yoshida

We develop a general theory for discontinuous non-equilibrium phase transitions into an absorbing state in the presence of temporal disorder. We focus in two paradigmatic models for discontinuous transitions: the quadratic contact process…

Statistical Mechanics · Physics 2018-09-25 Carlos E. Fiore , M. M. de Oliveira , José A. Hoyos

A theory is presented of quantum criticality in open (coupled to reservoirs) itinerant electron magnets, with nonequilibrium drive provided by current flow across the system. Both departures from equilibrium at conventional (equilibrium)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Aditi Mitra , So Takei , Yong Baek Kim , A. J. Millis

We establish a set of nonequilibrium quantum phase transitions in the Ising model driven under monochromatic nonadiabatic modulation of the transverse field. We show that besides the Ising-like critical behavior, the system exhibits an…

Quantum Physics · Physics 2013-01-03 V. M. Bastidas , C. Emary , G. Schaller , T. Brandes

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

Statistical Mechanics · Physics 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr
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