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Related papers: Finite-Size Effects in Disordered $\lambda\phi^{4}…

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We study dissipative effects for a system consisting of a massless real scalar field satisfying Neumann boundary conditions on a space and time-dependent surface, in d+1 dimensions. We focus on the comparison of the results for this system…

High Energy Physics - Theory · Physics 2025-10-08 C. D. Fosco , B. C. Guntsche

We study diffusive dynamics of phase separation in a binary mixture, following critical quench, both in spatial dimensions $d=2$ and $d=3$. Particular focus in this work is to obtain information about effects of system size and correction…

Statistical Mechanics · Physics 2015-05-27 Suman Majumder , Subir K. Das

Finite-size and surface effects in fine particle systems are investigated by Monte Carlo simulation of a model of a $\gamma$-Fe$_2$O$_3$ (maghemite) single particle. Periodic boundary conditions have been used to simulate the bulk…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

We investigate the critical behavior of the lambda phi^4 theory defined on S^1 x R^d having two finite length scales beta, the circumference of S^1, and k^{-1}, the blocking scale introduced by the renormalization group transformation. By…

High Energy Physics - Theory · Physics 2008-11-26 Sen-Ben Liao , Michael Strickland

We investigate the system size scaling of the net defect number created by a rapid quench in a second-order quantum phase transition from an O(N) symmetric state to a phase of broken symmetry. Using a controlled mean-field expansion for…

Statistical Mechanics · Physics 2015-03-17 Michael Uhlmann , Ralf Schützhold , Uwe R. Fischer

The $\lambda \phi^4$ model in a finite volume is studied within a non-gaussian Hartree-Fock approximation (tdHF) both at equilibrium and out of equilibrium, with particular attention to the structure of the ground state and of certain…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Destri , E. Manfredini

We investigate finite size effects of the pion matrix element of the non-singlet, twist-2 operator corresponding to the average momentum of non-singlet quark densities. Using the quenched approximation, they come out to be surprisingly…

High Energy Physics - Lattice · Physics 2007-05-23 M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , A. Shindler , I. Wetzorke

Taking into account the finiteness of the system created in heavy ion collisions, we show sizable results for the modifications of the chiral phase diagram at volume scales typically encountered in current experiments and demonstrate the…

High Energy Physics - Phenomenology · Physics 2011-06-21 Eduardo S. Fraga , Takeshi Kodama , Letícia F. Palhares , Paul Sorensen

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only…

Soft Condensed Matter · Physics 2015-06-04 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel

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 massive field-theory approach for studying critical behavior in fixed space dimensions $d<4$ is extended to systems with surfaces.This enables one to study surface critical behavior directly in dimensions $d<4$ without having to resort…

Statistical Mechanics · Physics 2009-10-31 H. W. Diehl , M. Shpot

In the framework of relativistic SU(2)_f baryon chiral perturbation theory we calculate the volume dependence of the nucleon mass up to and including O(p^4). Since the parameters in the resulting finite size formulae are fixed from the pion…

High Energy Physics - Lattice · Physics 2010-04-06 A. Ali Khan , T. Bakeyev , M. Göckeler , T. R. Hemmert , R. Horsley , A. C. Irving , B. Joó , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben

We prove the asymptotics of the difference of the ground-state energies of two non-interacting $N$-particle Fermi gases on the half line of length $L$ in the thermodynamic limit up to order $1/L$. We are particularly interested in…

Mathematical Physics · Physics 2020-01-01 Martin Gebert

Using lattice simulations of quenched QCD we estimate the finite size effects present when a gluon plasma equilibrates in a slab geometry, i.e., finite width but large transverse dimensions. Significant differences are observed in the free…

High Energy Physics - Lattice · Physics 2009-10-31 Andy Gopie , Michael C. Ogilvie

In this work we consider the one-loop effective action of a self-interacting $\lambda\phi^{4}$ field propagating in a $D$ dimensional Euclidean space endowed with $d\leq D$ compact dimensions. The main purpose of this paper is to compute…

High Energy Physics - Theory · Physics 2018-03-13 Guglielmo Fucci , Klaus Kirsten

In this letter, we focus on the size effect of granular column collapses, which are potentially connected to the dynamics of complex geophysical flows, even if the link between microscopic structures of granular assemblies and their…

Soft Condensed Matter · Physics 2022-01-21 Teng Man , Herbert E. Huppert , Ling Li , Sergio Andres Galindo-Torres

Critical phenomena on scale-free networks with a degree distribution $p_k \sim k^{-\lambda}$ exhibit rich finite-size effects due to its structural heterogeneity. We systematically study the finite-size scaling of percolation and identify…

Statistical Mechanics · Physics 2025-08-29 Xuewei Zhao , Liwenying Yang , Dan Peng , Run-Ran Liu , Ming Li

Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field…

Disordered Systems and Neural Networks · Physics 2018-04-18 N. G. Fytas , J. Zierenberg , P. E. Theodorakis , M. Weigel , W. Janke , A. Malakis

The singular part of the finite-size free energy density $f_s$ of the O($n$) symmetric $\phi^4$ field theory is calculated for confined geometries of linear size L with periodic boundary conditions in the large-N limit and with Dirichlet…

Statistical Mechanics · Physics 2007-05-23 X. S. Chen , V. Dohm
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