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Related papers: Finite-Size Effects on Critical Diffusion and Rela…

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We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is investigated by finding the free energy extremal point by the…

Statistical Mechanics · Physics 2011-03-09 Tomoaki Nogawa , Nobuyasu Ito , Hiroshi Watanabe

We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for systems above their upper critical dimensions $d_c$.…

Statistical Mechanics · Physics 2017-05-16 Ralph Kenna , Bertrand Berche

We investigate the finite size corrections to the equilibrium magnetization of an Ising model on a random graph with $N$ nodes and $N^{\gamma}$ edges, with $1 < \gamma \leq 2$. By conveniently rescaling the coupling constant, the free…

Statistical Mechanics · Physics 2015-05-13 Julien Barre' , Antonia Ciani , Duccio Fanelli , Franco Bagnoli , Stefano Ruffo

Based on the isospin-dependent quantum molecular dynamics model, finite-size scaling effects on nuclear liquid--gas phase transition probes are investigated by studying the de-excitation processes of six thermal sources of different sizes…

Nuclear Theory · Physics 2019-09-18 H. L. Liu , Y. G. Ma , D. Q. Fang

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update…

Statistical Mechanics · Physics 2015-06-24 Martin Weigel , Wolfhard Janke

In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced by a modified hyperscaling relation. As a result, standard…

Statistical Mechanics · Physics 2010-12-01 R. L. C. Vink , T. Fischer , K. Binder

It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , P. Provero , S. Vinti

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

Statistical Mechanics · Physics 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

We consider a simple, purely stochastic model characterized by two conserved quantities (mass density $a$ and energy density $h$) which is known to display a condensation transition when $h > 2a^2$: in the localized phase a single site…

Statistical Mechanics · Physics 2023-11-28 Gabriele Gotti , Stefano Iubini , Paolo Politi

We discuss how the finiteness of the system created in a heavy-ion collision affects possible signatures of the QCD critical endpoint. We show sizable results for the modifications of the chiral phase diagram at volume scales typically…

High Energy Physics - Phenomenology · Physics 2010-02-24 Leticia F. Palhares , Eduardo S. Fraga , Takeshi Kodama

We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the…

Statistical Mechanics · Physics 2018-06-01 Andrea Pelissetto , Davide Rossini , Ettore Vicari

Monte Carlo results for the moments <M^k> of the magnetization distribution of the nearest-neighbor Ising ferromagnet in a L^d geometry, where L (4 \leq L \leq 22) is the linear dimension of a hypercubic lattice with periodic boundary…

Statistical Mechanics · Physics 2014-06-11 Erik Luijten , Kurt Binder , Henk W. J. Blöte

A two-dimensional lattice of oscillators with identical (zero) intrinsic frequencies and Kuramoto type of interactions with randomly frustrated couplings is considered. Starting the time evolution from slightly perturbed synchronized…

Disordered Systems and Neural Networks · Physics 2025-05-06 Róbert Juhász , Géza Ódor

The phase diagram of QCD at finite temperature and density and the existence of a critical point are currently very actively researched topics. Although tremendous progress has been made, in the case of two light quark flavors even the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bertram Klein , Jens Braun

Finite-size scaling is a key tool in statistical physics, used to infer critical behavior in finite systems. Here we use the analogous concept of finite-time scaling to describe the bifurcation diagram at finite times in discrete dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-04-12 Alvaro Corral , Lluis Alseda , Josep Sardanyes

A detailed analysis of the finite-size effects on the bulk critical behaviour of the $d$-dimensional mean spherical model confined to a film geometry with finite thickness $L$ is reported. Along the finite direction different kinds of…

Statistical Mechanics · Physics 2008-08-12 H. Chamati

Finite-size scaling at fixed renormalization-group invariant is a powerful and flexible technique to analyze Monte Carlo data at a critical point. It consists in fixing a given renormalization-group invariant quantity to a given value,…

Statistical Mechanics · Physics 2022-03-30 Francesco Parisen Toldin

We study the effects of finite-sizeness on small, neutrally buoyant, spherical particles advected by open chaotic flows. We show that, when projected onto configuration space, the advected finite-size particles disperse about the unstable…

Chaotic Dynamics · Physics 2007-05-23 Rafael Dias Vilela , Alessandro P. S. de Moura , Celso Grebogi

We report clear finite size effects in the specific heat and in the relaxation times of a model glass former at temperatures considerably smaller than the Mode Coupling transition. A crucial ingredient to reach this result is a new Monte…

Statistical Mechanics · Physics 2009-11-11 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the…

High Energy Physics - Lattice · Physics 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo