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The phenomenon of phase transitions in one-dimensional systems is discussed. Equilibrium systems are reviewed and some properties of an energy function which may allow phase transitions and phase ordering in one dimension are identified. We…

Statistical Mechanics · Physics 2015-06-24 M. R. Evans

Superconducting systems may display different types of nonequilibrium states depending on the specific constraints imposed for measurement. We probe current-voltage relations of three-dimensional superconducting films by allowing finite…

Superconductivity · Physics 2026-01-27 Shamashis Sengupta

We explore the distribution of paths followed in fluctuation-induced switching between coexisting stable states. We introduce a quantitative characteristic of the path distribution in phase space that does not require a priori knowledge of…

Statistical Mechanics · Physics 2009-11-13 H. B. Chan , M. I. Dykman , C. Stambaugh

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection…

Statistical Mechanics · Physics 2011-01-18 D. Kharchenko , V. Kharchenko , I. Lysenko

Biomolecular folding, at least in simple systems, can be described as a two state transition in a free energy landscape with two deep wells separated by a high barrier. Transition paths are the short part of the trajectories that cross the…

Statistical Mechanics · Physics 2018-12-10 M. Laleman , E. Carlon , H. Orland

Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Tran- sitions between such states are studied as noise-driven escape problems in the chemical species space. Escape can occur via multiple possible…

Biological Physics · Physics 2018-03-28 Roberto de la Cruz , Ruben Perez-Carrasco , Pilar Guerrero , Tomas Alarcon , Karen M. Page

Under many circumstances many soft and hard materials are present in a puzzling wealth of non-equilibrium amorphous states, whose properties are not stationary and depend on preparation. They are often summarized in unconventional "phase…

Soft Condensed Matter · Physics 2021-04-20 Jesús Benigno Zepeda-López , Magdaleno Medina-Noyola

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

The topological theory of phase transitions was proposed on the basis of different arguments, the most important of which are: a direct evidence of the relation between topology and phase transitions for some exactly solvable models; an…

Statistical Mechanics · Physics 2018-02-28 Matteo Gori , Roberto Franzosi , Marco Pettini

Phase separation has emerged as an essential concept for the spatial organization inside biological cells. However, despite the clear relevance to virtually all physiological functions, we understand surprisingly little about what phases…

Biological Physics · Physics 2022-08-10 David Zwicker , Liedewij Laan

Using recent mathematical advances, a geometric approach to rare noise-driven transition events in nonequilibrium systems is given, and an algorithm for computing the maximum likelihood transition curve is generalized to the case of…

Probability · Mathematics 2010-10-19 Matthias Heymann , Stephen W. Teitsworth , Jonathan C. Mattingly

The dynamics of phase transitions plays a crucial r\^ole in the so-called interface between high energy particle physics and cosmology. Many of the interesting results generated during the last fifteen years or so rely on simplified…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcelo Gleiser

We demonstrate a non-equilibrium phase transition in a dilute thermal atomic gas. The phase transition, between states of low and high Rydberg occupancy, is induced by resonant dipole-dipole interactions between Rydberg atoms. The gas can…

Atomic Physics · Physics 2016-11-04 Christopher Carr , Ralf Ritter , Christopher Wade , Charles S Adams , Kevin J Weatherill

Autocatalytic reaction system with a small number of molecules is studied numerically by stochastic particle simulations. A novel state due to fluctuation and discreteness in molecular numbers is found, characterized as extinction of…

Biological Physics · Physics 2007-05-23 Yuichi Togashi , Kunihiko Kaneko

We investigate the steady-state phase transitions in an all-to-all transverse-field Ising model subjected to an environment. The considered model is composed of two ingredient Hamiltonians. The orientation of the external field, which is…

Quantum Physics · Physics 2023-08-11 Linyu Song , Jiasen Jin

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

Posttranslational modification of proteins is key in transmission of signals in cells. Many signaling pathways contain several layers of modification cycles that mediate and change the signal through the pathway. Here, we study a simple…

Quantitative Methods · Quantitative Biology 2010-12-21 Elisenda Feliu , Michael Knudsen , Lars N. Andersen , Carsten Wiuf

The appearance of emergent symmetries in complex systems with components that can form composite units provides us with opportunities for design and control of exotic phase behaviour, for example by exploiting the dynamical symmetry…

Soft Condensed Matter · Physics 2026-03-24 Jakob Metson , Ramin Golestanian

In order to respond to environmental signals, cells often use small molecular circuits to transmit information about their surroundings. Recently, motivated by concrete examples in signaling and gene regulation, a body of work has focused…

Molecular Networks · Quantitative Biology 2020-01-08 P. Szymańska-Rożek , D. Villamaina , J. Miȩkisz , A. M. Walczak