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In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with…

Statistical Mechanics · Physics 2009-11-07 Alfred Hucht

Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function,…

Nuclear Theory · Physics 2014-11-20 J. A. Caballero , M. B. Barbaro , A. N. Antonov , M. V. Ivanov , T. W. Donnelly

Via computer simulations we study evolution dynamics in systems of continuously moving Active Brownian Particles. The obtained results are discussed against those from the passive 2D Ising case. Following sudden quenches of uniform…

Soft Condensed Matter · Physics 2022-12-14 Florian Dittrich , Jiarul Midya , Peter Virnau , Subir K. Das

In this paper, we revisit some classical and recent works on modelling slide-contact with wear and propose their generalisation. Namely, we upgrade the relation between the pressure and the wear rate by incorporating some non-local…

Mathematical Physics · Physics 2022-12-07 Dmitry Ponomarev

The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to scaling, simple ageing behaviour is…

Statistical Mechanics · Physics 2007-09-21 Florian Baumann , Malte Henkel , Michel Pleimling

We study the nonequilibrium phase transition in the one-dimensional contact process with quenched spatial disorder by means of large-scale Monte-Carlo simulations for times up to $10^9$ and system sizes up to $10^7$ sites. In agreement with…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Mark Dickison

We study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation ratio and…

Statistical Mechanics · Physics 2009-11-11 Florian Baumann , Michel Pleimling

The interevent time distribution characterizes the temporal occurrence in seismic catalogs. Universal scaling properties of this distribution have been evidenced for entire catalogs and seismic sequences. Recently, these universal features…

We study the effect of temperature shift on aging phenomena in the Random Energy Model (REM). From calculation on the correlation function and simulation on the Zero-Field-Cooled magnetization, we find that the REM satisfies a scaling…

Disordered Systems and Neural Networks · Physics 2009-10-31 Munetaka Sasaki , Koji Nemoto

The equilibrium and nonequilibrium properties of ferromagnetic systems may be affected by the long-range nature of the coupling interaction. Here we study the phase separation process of a one-dimensional Ising model in the presence of a…

Statistical Mechanics · Physics 2019-08-06 Federico Corberi , Eugenio Lippiello , Paolo Politi

Recently Baumann et al. [arXiv:0709.3228v1] studied the phase-ordering kinetics of the two-dimensional Ising model with uniform spatially quenched disorder by Monte-Carlo simulations. They found that the two-time response and correlation…

Statistical Mechanics · Physics 2009-11-13 Haye Hinrichsen

A coarse-grained model of dense hard sphere colloids building on simple notions of particle mobility and spatial coherence is presented and shown to reproduce results of experiments and simulations for key quantities such as the…

Soft Condensed Matter · Physics 2018-07-06 Nikolaj Becker , Paolo Sibani , Stefan Boettcher , Skanda Vivek

By analyzing spin-spin correlation functions at relatively short distances, we show that equilibrium near-critical properties can be extracted at short times after quenches into the vicinity of a quantum critical point. The time scales…

Statistical Mechanics · Physics 2018-03-06 Markus Karl , Halil Cakir , Jad C. Halimeh , Markus K. Oberthaler , Michael Kastner , Thomas Gasenzer

The non-equilibrium dynamics of the kinetic spherical model, quenched to T<=T_c, with a non-conserved order-parameter is studied at its upper critical dimension d=d*=4. In the scaling limit where both the waiting time s and the observation…

Statistical Mechanics · Physics 2009-05-20 Maximilian Ebbinghaus , Helene Grandclaude , Malte Henkel

We present new empirical evidence, based on millions of interactions on Twitter, confirming that human contacts scale with population sizes. We integrate such observations into a reaction-diffusion metapopulation framework providing an…

Physics and Society · Physics 2014-11-27 Michele Tizzoni , Kaiyuan Sun , Diego Benusiglio , Márton Karsai , Nicola Perra

We study coarsening dynamics in the ferromagnetic random bond Ising model in d = 1; 2. We focus on the validity of super-universality and the scaling properties of the response functions. In the d = 1 case, we obtain a complete…

Statistical Mechanics · Physics 2015-05-19 E. Lippiello , A. Mukherjee , Sanjay Puri , M. Zannetti

We derive exact expressions for a number of aging functions that are scaling limits of non-equilibrium correlations, R(tw,tw+t) as tw --> infinity with t/tw --> theta, in the 1D homogenous q-state Potts model for all q with T=0 dynamics…

Disordered Systems and Neural Networks · Physics 2009-11-07 L. R. Fontes , M. Isopi , C. M. Newman , D. L. Stein

Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field $F$, with the history of fluctuations of the particle, become detectable. Exact analytical theory for the…

Statistical Mechanics · Physics 2009-11-11 Eli Barkai

We present quasi-stationary simulations of the two-dimensional contact process with quenched disorder included through the random dilution of a fraction of the lattice sites (these sites are not susceptible to infection). Our results…

Statistical Mechanics · Physics 2015-03-17 Marcelo M. de Oliveira , Silvio C. Ferreira

We study the off-equilibrium response and correlation functions and the corresponding fluctuation-dissipation ratio for a purely dissipative relaxation of an O(N) symmetric vector model (Model A) below its upper critical dimension. The…

Statistical Mechanics · Physics 2008-12-18 Pasquale Calabrese , Andrea Gambassi