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Temporal evolutions toward thermal equilibria are numerically investigated in a Hamiltonian system with many degrees of freedom which has second order phase transition. Relaxation processes are studied through local order parameter, and…

chao-dyn · Physics 2009-10-28 Yoshiyuki Y. Yamaguchi

We analyse the critical behavior of two-dimensional N-vector spin systems with noncollinear order within the five-loop renormalization-group approximation. The structure of the RG flow is studied for different N leading to the conclusion…

Statistical Mechanics · Physics 2009-11-07 P. Calabrese , E. V. Orlov , P. Parruccini , A. I. Sokolov

An introduction to the theory of critical behavior at Lifshitz points is given, and the recent progress made in applying the field-theoretic renormalization group (RG) approach to $\phi^4$ $n$-vector models representing universality classes…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl

Effects of strongly anisotropic turbulent mixing on the critical behavior are studied by means of the renormalization group. Two models are considered: the equilibrium model A, which describes purely relaxational dynamics of a nonconserved…

Statistical Mechanics · Physics 2010-11-09 N. V. Antonov , A. A. Ignatieva , A. V. Malyshev

We study dynamic field theories for nonconserving $N$-vector models that are subject to spatial-anisotropic bias perturbations. We first investigate the conditions under which these field theories can have a single length scale. When N=2 or…

Statistical Mechanics · Physics 2015-05-13 Sreedhar B. Dutta , Su-Chan Park

Based on a high temperature expansion, we compute the two-point correlation function and the critical line of an Ising lattice gas driven into a non-equilibrium steady state by a uniform bias E. The lowest nontrivial order already…

Statistical Mechanics · Physics 2007-05-23 B. Schmittmann , R. K. P. Zia

We employ the perturbative field-theoretic renormalization group method to investigate the universal critical behavior near the continuous non-equilibrium phase transition in the complex Ginzburg-Landau equation with additive white noise.…

Statistical Mechanics · Physics 2016-10-04 Weigang Liu , Uwe C. Täuber

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

High Energy Physics - Phenomenology · Physics 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

The dynamic phase transition has been studied in the two dimensional kinetic Ising model in presence of a time varying (sinusoidal) magnetic field by Monte Carlo simulation. The nature (continuous or discontinuous) of the transition is…

Statistical Mechanics · Physics 2009-10-31 Muktish Acharyya

The critical behavior of the two-dimensional N-vector cubic model is studied within the field-theoretical renormalization-group (RG) approach. The beta-functions and critical exponents are calculated in the five-loop approximation, RG…

Statistical Mechanics · Physics 2016-08-31 P. Calabrese , E. V. Orlov , D. V. Pakhnin , A. I. Sokolov

A relativistic mean-field model of nuclear matter with arbitrary proton fraction is studied at finite temperature. An analysis is performed of the liquid-gas phase transition in a system with two conserved charges (baryon number and…

Nuclear Theory · Physics 2008-11-26 Horst Mueller , Brian D. Serot

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gregory Schehr , Pierre Le Doussal

Understanding nonequilibrium systems and the consequences of irreversibility for the system's behavior as compared to the equilibrium case, is a fundamental question in statistical physics. Here, we investigate two types of nonequilbrium…

Statistical Mechanics · Physics 2020-10-26 Thomas Martynec , Sabine H. L. Klapp , Sarah A. M. Loos

For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed and $N_s\to\infty$, approaching the phase transition from the confined phase. For $N_{\tau}=4$, 5…

High Energy Physics - Lattice · Physics 2008-11-26 Bernd A. Berg , Alexei Bazavov

We study the near-equilibrium critical dynamics of the $O(3)$ nonlinear sigma model describing isotropic antiferromagnets with non-conserved order parameter reversibly coupled to the conserved total magnetization. To calculate response and…

Statistical Mechanics · Physics 2022-06-28 Louie Hong Yao , Uwe C. Täuber

We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model G and H, which are the conjectured dynamic universality classes of the two-flavor chiral…

High Energy Physics - Phenomenology · Physics 2025-10-01 Yunxin Ye , Johannes V. Roth , Sören Schlichting , Lorenz von Smekal

We present a functional renormalization group calculation of the properties of a quantum critical metal in $d=2$ spatial dimensions. Our theory describes a general class of Pomeranchuk instabilities with $N_b$ flavors of boson. At small…

Strongly Correlated Electrons · Physics 2018-12-05 Matthew J. Trott , Chris A. Hooley