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We study an influence of the quenched extended defects on the critical dynamics of the d=3-dimensional systems with m-component non-conserved order parameter (model A dynamics). Considering defects to be correlated in \epsilon_d dimensions…

无序系统与神经网络 · 物理学 2009-09-15 V. Blavatska , M. Dudka , R. Folk , Yu. Holovatch

A field-theoretic description of the critical behaviour of systems with quenched defects obeying a power law correlations $\sim |{\bf x}|^{-a}$ for large separations ${\bf x}$ is given. Directly for three-dimensional systems and different…

无序系统与神经网络 · 物理学 2009-10-31 V. V. Prudnikov , A. A. Fedorenko

We investigate nonequilibrium relaxations of Ising models at the critical point by using a cluster update. While preceding studies imply that nonequilibrium cluster-flip dynamics at the critical point are universally described by the…

统计力学 · 物理学 2018-11-21 Yusuke Tomita , Yoshihiko Nonomura

The influence of nonequilibrium initial values of the order parameter on its evolution at a critical point is described using a renormalization group approach of the field theory. The dynamic critical exponent $\theta'$ of the short time…

统计力学 · 物理学 2010-05-28 P. V. Prudnikov , V. V. Prudnikov , I. A. Kalashnikov

We investigate the critical properties of d-dimensional magnetic systems with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the…

无序系统与神经网络 · 物理学 2016-08-31 V. Blavatska , C. von Ferber , Yu. Holovatch

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical…

无序系统与神经网络 · 物理学 2012-10-05 Pavel V. Prudnikov , Maria A. Medvedeva

We present a method to calculate short-time non-equilibrium universal exponents within the functional renormalization-group scheme. As an example, we consider the classical critical dynamics of the relaxational model A after a quench of the…

统计力学 · 物理学 2016-11-10 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

We investigate the short time quantum critical dynamics in the imaginary time relaxation processes of finite size systems. Universal scaling behaviors exist in the imaginary time evolution and in particular, the system undergoes a critical…

强关联电子 · 物理学 2017-09-20 Yu-Rong Shu , Shuai Yin , Dao-Xin Yao

We study the two-dimensional contact process (CP) with quenched disorder (DCP), and determine the static critical exponents beta and nu_perp. The dynamic behavior is incompatible with scaling, as applied to models (such as the pure CP) that…

统计力学 · 物理学 2009-10-30 Ronald Dickman , Adriana G. Moreira

The renormalisation group approach is applied to the study of the short-time critical behaviour of the $d$-dimensional Ginzburg-Landau model with long-range interaction of the form $p^{\sigma} s_{p}s_{-p}$ in momentum space. Firstly the…

软凝聚态物质 · 物理学 2009-10-31 Y. Chen , S. H. Guo , Z. B. Li , S. Marculescu , L. Schuelke

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

统计力学 · 物理学 2009-10-31 Alexander Patashinski

The long-time behaviour of spin-spin correlators in the slow relaxation of systems undergoing phase-ordering kinetics is studied in geometries of finite size. A phenomenological finite-size scaling ansatz is formulated and tested through…

统计力学 · 物理学 2023-03-06 Malte Henkel

We study the non-equilibrium dynamics (purely dissipative and relaxational) in a semi-infinite system following a quench from the high temperature disordered phase to its critical temperature. We show that the local autocorrelation near the…

凝聚态物理 · 物理学 2009-10-28 Satya N. Majumdar , Anirvan M. Sengupta

We revisit here the problem of the collective non-equilibrium dynamics of a classical statistical system at a critical point and in the presence of surfaces. The effects of breaking separately space- and time-translational invariance are…

统计力学 · 物理学 2014-11-24 Matteo Marcuzzi , Andrea Gambassi

The Binder ratios exhibit discrepancy from the Gaussian behavior of the magnetic cumulants, and their size independence at the critical point has been widely utilized in numerical studies of critical phenomena. In the present article we…

统计力学 · 物理学 2018-02-05 Yoshihiko Nonomura , Yusuke Tomita

The melting transition in the hard-disk system is considered. Non-equilibrium relaxation analysis of the six-fold bond-orientational order parameter has been carried out. The critical point between the hexatic and the fluid phase is…

统计力学 · 物理学 2015-05-13 Hiroshi Watanabe

We investigate the asymptotic and effective static and dynamic critical behavior of (d=3)-dimensional magnets with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the…

无序系统与神经网络 · 物理学 2009-11-11 V. Blavats'ka , M. Dudka , R. Folk , Yu. Holovatch

In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model with ``ordinary" behavior is an inherently non-equilibrium model studied some time ago…

统计力学 · 物理学 2022-02-16 Peter Grassberger

We investigate finite size scaling aspects of disorder reaction-diffusion processes in one dimension utilizing both numerical and analytical approaches. The former averages the spectrum gap of the associated evolution operators by doubling…

统计力学 · 物理学 2009-06-27 M. D. Grynberg , G. L. Rossini , R. B. Stinchcombe

We study the critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random $T_c$ model A for the critical dynamics and the renormalization group method in the vicinity…

无序系统与神经网络 · 物理学 2015-06-25 H. Chamati , E. Korutcheva
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