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Dynamical processes on complex networks, ranging from biological, technological and social systems, show phase transitions between distinct global states of the system. Often, such transitions rely upon the interplay between the structure…

Physics and Society · Physics 2023-02-22 Hillel Sanhedrai , Shlomo Havlin

Nonrelativistic bound states are studied using an effective field theory. Large logarithms in the effective theory can be summed using the velocity renormalization group. For QED, one can determine the structure of the leading and…

High Energy Physics - Lattice · Physics 2009-10-31 Aneesh V. Manohar , Iain W. Stewart

Topological defects and smooth excitations determine the properties of systems showing collective order. We introduce a generic non-singular field theory that comprehensively describes defects and excitations in systems with $O(n)$ broken…

Soft Condensed Matter · Physics 2023-08-03 Vidar Skogvoll , Jonas Rønning , Marco Salvalaglio , Luiza Angheluta

Unlike typical phase transitions of first and second order, a system displaying the Thouless effect exhibits characteristics of both at the critical point (jumps in the order parameter and anomalously large fluctuations). An $extreme$…

Physics and Society · Physics 2019-10-03 Mohammadmehdi Ezzatabadipour , Weibin Zhang , Kevin E. Bassler , R. K. P. Zia

We show how averages of exponential functions of path dependent quantities, such as those of Work Fluctuation Theorems, detect phase transitions in deterministic and stochastic systems. State space truncation -- the restriction of the…

Statistical Mechanics · Physics 2024-01-08 Matteo Colangeli , Antonio Di Francesco , Lamberto Rondoni

Nonequilibrium phase transitions are discussed with emphasis on general features such as the role of detailed balance violation in generating effective (long-range) interactions, the importance of dynamical anisotropies, the connection…

Statistical Mechanics · Physics 2007-05-23 Zoltan Racz

We theoretically study divergent fluctuations of dynamical events at non-ergodic transitions. We first focus on the finding that a non-ergodic transition can be described as a saddle connection bifurcation of an order parameter for a time…

Statistical Mechanics · Physics 2015-06-25 Mami Iwata , Shin-ichi Sasa

Real-world non-autonomous systems are open, out-of-equilibrium systems that evolve in and are driven by temporally varying environments. Such systems can show multiple timescale and transient dynamics together with transitions to very…

Data Analysis, Statistics and Probability · Physics 2024-07-12 Klaus Lehnertz

We study the energy current and its fluctuations in quantum gapless 1d systems far from equilibrium modeled by conformal field theory, where two separated halves are prepared at distinct temperatures and glued together at a point contact.…

Strongly Correlated Electrons · Physics 2012-08-29 Denis Bernard , Benjamin Doyon

We study a fluctuation relation representing a nonequilibrium equality indicating that the ratio between the distribution of trajectories obtained by exchanging the initial and final positions is characterized by free energy differences for…

Statistical Mechanics · Physics 2023-12-27 Kazuhiko Seki

Dynamical phase transitions are nonequilibrium counterparts of thermodynamic phase transitions and share many similarities with their equilibrium analogs. In continuous phase transitions, critical exponents play a key role in characterizing…

Statistical Mechanics · Physics 2025-06-09 Timo Schorlepp , Ohad Shpielberg

Using equilibrium fluctuations to understand the response of a physical system to an externally imposed perturbation is the basis for linear response theory, which is widely used to interpret experiments and shed light on microscopic…

Statistical Mechanics · Physics 2024-06-24 Jérémie Klinger , Grant M. Rotskoff

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

Statistical Mechanics · Physics 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

Adaptation and Self-Organizing Systems · Physics 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

We investigate nonequilibrium phase transitions in the presence of disorder that locally breaks the symmetry between two equivalent macroscopic states. In low-dimensional equilibrium systems, such "random-field" disorder is known to have…

Statistical Mechanics · Physics 2012-10-30 Hatem Barghathi , Thomas Vojta

Previous study of properties of the first-order phase transition in a set of plasma mod-els with common feature - absence of individual correlations between charges of opposite sign, was continued. Predicted discontinuities in equilibrium…

Plasma Physics · Physics 2009-02-16 I. L. Iosilevski , A. Yu. Chigvintsev

We present a comprehensive study of phase transitions in single-field systems that relax to a non-equilibrium global steady state. The mechanism we focus on is not the so-called Stratonovich drift combined with collective effects, but is…

Statistical Mechanics · Physics 2009-11-10 J. Buceta , Katja Lindenberg

A general self-consistency approach allows a thorough treatment of the corrections to the standard mean-field approximation (MFA). The natural extension of standard MFA with the help of a cumulant expansion leads to a new point of view on…

High Energy Physics - Lattice · Physics 2007-05-23 Dimo I. Uzunov

Criteria defining higher-order sub-Poissonian-like fields are given using five different quantities: moments of (I) integrated intensity, (II) photon number, (III) integrated-intensity fluctuation, (IV) photon-number fluctuation, and (V)…

Quantum Physics · Physics 2017-10-25 Jan Perina , Vaclav Michalek , Ondrej Haderka

We analyze the structure of higher-order radiative corrections for processes with unstable particles. By subsequently integrating out the various scales that are induced by the presence of unstable particles we obtain a hierarchy of…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Chapovsky , V. A. Khoze , A. Signer , W. J. Stirling