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Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar…

Soft Condensed Matter · Physics 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

Second-order phase transitions in a non-equilibrium liquid-gas model with reversible mode couplings, i.e., model H for binary-fluid critical dynamics, are studied using dynamic field theory and the renormalization group. The system is…

Statistical Mechanics · Physics 2015-06-24 Jaime E. Santos , Uwe C. Tauber

Exploiting the universality between the QCD critical point and the three dimensional Ising model, closed form expressions derived (arXiv:1506.00645 ) for non-equilibrium critical cumulants on the crossover side of the critical point reveal…

High Energy Physics - Phenomenology · Physics 2016-11-30 Swagato Mukherjee , Raju Venugopalan , Yi Yin

We elucidate a non-conserved relaxational nonequilibrium dynamics of a O(2) symmetric model. We drive the system out of equilibrium by introducing a non-zero noise cross-correlation of amplitude $D_\times$ in a stochastic Langevin…

Statistical Mechanics · Physics 2012-02-14 Niladri Sarkar , Abhik Basu

We study the prethermal dynamics of an interacting quantum field theory with a N-component order parameter and $O(N)$ symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the…

Statistical Mechanics · Physics 2017-04-05 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

We study the relaxation dynamics at criticality in the one-dimensional spin-$1/2$ Nagle-Kardar model, where short- and long-range interactions can compete. The phase diagram of this model shows lines of first and second-order phase…

Statistical Mechanics · Physics 2025-11-11 Jean-François de Kemmeter , Stefano Ruffo , Stefano Gherardini

Phase transitions in non-equilibrium steady states of O(n)-symmetric models with reversible mode couplings are studied using dynamic field theory and the renormalization group. The systems are driven out of equilibrium by dynamical…

Statistical Mechanics · Physics 2011-12-24 Uwe C. Täuber , Jaime E. Santos , Zoltán Rácz

We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We introduce and study in two dimensions a new class of dry, aligning, active matter that exhibits a direct transition to orientational order, without the phase-separation phenomenology usually observed in this context. Characterized by…

Soft Condensed Matter · Physics 2018-06-27 B. Mahault , X. -c. Jiang , E. Bertin , Y. -q. Ma , A. Patelli , X. -q. Shi , H. Chaté

We adapt the non-linear $\sigma$ model to study the nonequilibrium critical dynamics of O(n) symmetric ferromagnetic system. Using the renormalization group analysis in $d=2+\epsilon$ dimensions we investigate the pure relaxation of the…

Statistical Mechanics · Physics 2009-11-11 Andrei A. Fedorenko , Steffen Trimper

In this work we formulate the nonequilibrium dynamical renormalization group (ndRG). The ndRG represents a general renormalization-group scheme for the analytical description of the real-time dynamics of complex quantum many-body systems.…

Disordered Systems and Neural Networks · Physics 2015-09-08 Markus Heyl , Matthias Vojta

We investigate the critical behavior of the Kinetic Ising model with non-reciprocal nearest neighbors interactions. A finite-size scaling study suggests that the model belongs to the Ising universality class. We characterize the…

Statistical Mechanics · Physics 2024-08-22 Luca Di Carlo

We study the critical behavior of the $O(n)$ model under steady shear flow using a dynamical renormalization group (RG) method. Incorporating the strong anisotropy in scaling ansatz, which has been neglected in earlier RG analyses, we…

Statistical Mechanics · Physics 2026-05-20 Harukuni Ikeda , Hiroyoshi Nakano

We investigate the out-of-equilibrium behavior of a dissipative gas of Rydberg atoms that features a dynamical transition between two stationary states characterized by different excitation densities. We determine the structure and…

Statistical Mechanics · Physics 2014-11-27 M. Marcuzzi , E. Levi , S. Diehl , J. P. Garrahan , I. Lesanovsky

We present a renormalization group (RG) method which allows for an analytical study of the transient dynamics of open quantum systems on all time scales. Whereas oscillation frequencies and decay rates of exponential time evolution follow…

Strongly Correlated Electrons · Physics 2013-05-23 Oleksiy Kashuba , Herbert Schoeller

We calculate the relaxational dynamical critical behavior of systems of $O(n_\|)\oplus O(n_\perp)$ symmetry including conservation of magnetization by renormalization group (RG) theory within the minimal subtraction scheme in two loop…

Statistical Mechanics · Physics 2009-11-13 R. Folk , Yu. Holovatch , G. Moser

We investigate the out-of-equilibrium dynamics of a relativistic $Z_2$-symmetric scalar field theory with Langevin dynamics in two and three spatial dimensions under linear driving across magnetic first-order phase transitions, close to and…

High Energy Physics - Phenomenology · Physics 2026-05-12 Leon J. Sieke , Jessica Fuchs , Lorenz von Smekal

A stability and bifurcation analysis of a kinetic equation indicates that the flocking bifurcation of the two-dimensional Vicsek model exhibits an interplay between parabolic and hyperbolic behavior. For box sizes smaller than a certain…

Soft Condensed Matter · Physics 2018-12-12 L. L. Bonilla , C. Trenado

We employ the nonperturbative functional Renormalization Group to study models with an O(N_1)+O(N_2) symmetry. Here, different fixed points exist in three dimensions, corresponding to bicritical and tetracritical behavior induced by the…

Statistical Mechanics · Physics 2013-10-29 Astrid Eichhorn , David Mesterházy , Michael M. Scherer

We study numerically the critical behavior of a modified, active Asakura-Oosawa model for colloid-polymer mixtures. The colloids are modeled as self-propelled particles with Vicsek-like interactions. This system undergoes phase separation…

Soft Condensed Matter · Physics 2017-03-08 Benjamin Trefz , Jonathan Tammo Siebert , Thomas Speck , Kurt Binder , Peter Virnau