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Biochemical oscillations are ubiquitous in living organisms. In an autonomous system, not influenced by an external signal, they can only occur out of equilibrium. We show that they emerge through a generic nonequilibrium phase transition,…

Statistical Mechanics · Physics 2018-07-25 Basile Nguyen , Udo Seifert , Andre C. Barato

An infinite array of globally coupled overdamped constituents moving in a double-well potential with $n$-th order saturation term under the influence of additive Gaussian white noise is investigated. The system exhibits a continuous phase…

Statistical Mechanics · Physics 2016-12-28 Rüdiger Kürsten , Ulrich Behn

The phase diagrams and transitions of nonequilibrium systems with multiplicative noise are studied theoretically. We show the existence of both strong and weak-coupling critical behavior, of two distinct active phases, and of a nonzero…

adap-org · Physics 2016-08-16 G. Grinstein , M. A. Muñoz , Yuhai Tu

Quasistationary states are long-lived nonequilibrium states, observed in some systems with long-range interactions under deterministic Hamiltonian evolution. These intriguing non-Boltzmann states relax to equilibrium over times which…

Statistical Mechanics · Physics 2015-03-17 Shamik Gupta , David Mukamel

Recent studies have shown that one-dimensional driven systems can exhibit phase separation even if the dynamics is governed by local rules. The ABC model, which comprises three particle species that diffuse asymmetrically around a ring,…

Statistical Mechanics · Physics 2016-08-31 M. Clincy , B. Derrida , M. R. Evans

In active matter, the lack of momentum conservation makes non-reciprocal interactions the rule rather than the exception. They lead to a rich set of emerging behaviors that are hard to account for and to predict starting from the…

Statistical Mechanics · Physics 2024-02-06 Alberto Dinelli , Jérémy O'Byrne , Agnese Curatolo , Yongfeng Zhao , Peter Sollich , Julien Tailleur

Based on the 2PI quantum effective action of the linear sigma model with constituent quarks, we develop a transport approach to study systems out of equilibrium. In particular, we focus on the chiral phase transition as well as the critical…

High Energy Physics - Phenomenology · Physics 2015-06-18 Alex Meistrenko , Christian Wesp , Hendrik van Hees , Carsten Greiner

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

Biochemical reaction networks in living cells usually involve reversible covalent modification of signaling molecules, such as protein phosphorylation. Under conditions of small molecule numbers, as is frequently the case in living cells,…

Molecular Networks · Quantitative Biology 2013-05-29 C. Metzner , M. Sajitz-Hermstein , M. Schmidberger , B. Fabry

In this paper, we investigate the dynamical quantum phase transitions appearing in the Loschmidt echo and the time-dependent order parameter of a quantum system of harmonically coupled degenerate bosons as a function of the power-law decay…

Quantum Gases · Physics 2021-02-16 Marvin Syed , Tilman Enss , Nicolò Defenu

To facilitate the analysis of pattern formation and of the related phase transitions in Bose-Einstein condensates (BECs) we present an explicit approximate mapping from the nonlocal Gross-Pitaevskii equation with cubic nonlinearity to a…

Pattern Formation and Solitons · Physics 2022-11-11 Alina B. Steinberg , Fabian Maucher , Svetlana V. Gurevich , Uwe Thiele

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

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the…

Statistical Mechanics · Physics 2019-11-26 Davide Rossini , Ettore Vicari

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

Statistical Mechanics · Physics 2026-03-02 Ying-Jen Yang , Ken A. Dill

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

Data Analysis, Statistics and Probability · Physics 2022-12-14 Martin Heßler , Oliver Kamps

Measurements of many biological processes are characterized by an initial trend period followed by an equilibrium period. Scientists may wish to quantify features of the two periods, as well as the timing of the change point. Specifically,…

Applications · Statistics 2020-09-22 Wenyu Zhang , Maryclare Griffin , David S. Matteson

Excess work is a non-diverging part of the work during transition between nonequilibrium steady states (NESSs). It is a central quantity in the steady state thermodynamics (SST), which is a candidate for nonequilibrium thermodynamics…

Statistical Mechanics · Physics 2014-11-27 Tatsuro Yuge

We derive a stochastic process that describes the kinetics of a one-dimensional Bose gas in a regime where three body collisions are important. In this situation the system becomes non integrable offering the possibility to investigate…

Quantum Gases · Physics 2013-05-30 Patrick Navez , Achilleas Lazarides

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

Disordered Systems and Neural Networks · Physics 2014-03-03 G. Parisi , B. Seoane

We study the non-equilibrium phase diagram and the dynamical phase transitions occurring during the pre-thermalization of non-integrable quantum spin chains, subject to either quantum quenches or linear ramps of a relevant control…

Statistical Mechanics · Physics 2019-03-05 Alessio Lerose , Bojan Zunkovic , Jamir Marino , Andrea Gambassi , Alessandro Silva