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Related papers: Finite-size effects in dynamics of zero-range proc…

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We propose a new criterion to analyse the order of phase transitions within a finite size scaling analysis. It refers to response functions like order parameter susceptibilities and the specific heat and states different monotony behaviour…

High Energy Physics - Lattice · Physics 2015-06-25 H. Meyer-Ortmanns , T. Reisz

The statistical behavior of the size (or mass) of the largest cluster in subcritical percolation on a finite lattice of size $N$ is investigated (below the upper critical dimension, presumably $d_c=6$). It is argued that as $N \to \infty$…

Statistical Mechanics · Physics 2009-10-31 Martin Z. Bazant

We consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large…

Mathematical Physics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

The present study investigates the effect of temperature-induced change of phase from face centred cubic solid to liquid on the size dependence of self diffusivity of solutes through detailed molecular dynamics simulations on binary…

Soft Condensed Matter · Physics 2008-11-25 Manju Sharma , S. Yashonath

The efficiency of Monte Carlo samplers is dictated not only by energetic effects, such as large barriers, but also by entropic effects that are due to the sheer volume that is sampled. The latter effects appear in the form of an entropic…

Computational Physics · Physics 2009-11-13 Cristian Predescu

We here discuss the results of 3d MonteCarlo simulations of a minimal lattice model for gelling systems. We focus on the dynamics, investigated by means of the time autocorrelation function of the density fluctuations and the particle mean…

Soft Condensed Matter · Physics 2007-05-23 E. Del Gado , A. Fierro , L. de Arcangelis , A. Coniglio

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…

Statistical Mechanics · Physics 2023-03-06 Malte Henkel

We present simulation data of first-order isotropic-to-nematic transitions in lattice models of liquid crystals and locate the thermodynamic limit inverse transition temperature $\epsilon_\infty$ via finite-size scaling. We observe that the…

Statistical Mechanics · Physics 2009-06-24 J. M. Fish , R. L. C. Vink

A systematic and detailed investigation of the finite-temperature behavior of small sodium clusters, Na_n, in the size range of n= 8 to 50 are carried out. The simulations are performed using density-functional molecular-dynamics with…

Statistical Mechanics · Physics 2015-06-25 Mal-Soon Lee , S. Chacko , D. G. Kanhere

The critical behavior of a quenched random hypercubic sample of linear size $L$ is considered, within the ``random-$T_{c}$'' field-theoretical mode, by using the renormalization group method. A finite-size scaling behavior is established…

Statistical Mechanics · Physics 2009-11-07 H. Chamati , E. Korutcheva , N. S. Tonchev

We discuss finite-size effects on homogeneous nucleation in first-order phase transitions. We study their implications for cosmological phase transitions and to the hadronization of a quark-gluon plasma generated in high-energy heavy ion…

High Energy Physics - Phenomenology · Physics 2015-06-25 Eduardo S. Fraga , Raju Venugopalan

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 - Phenomenology · Physics 2007-05-23 Andy Gopie , Michael C. Ogilvie

We prove that the density fluctuations for a zero-range process evolving on the supercritical percolation cluster are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mc S'(\bb R^d)$.

Probability · Mathematics 2008-06-03 Patricia Goncalves , Milton Jara

We use kinetic Monte Carlo simulations to investigate current fluctuations in boundary driven generalized exclusion processes, in different dimensions. Simulation results are in full agreement with predictions based on the additivity…

Statistical Mechanics · Physics 2015-06-01 T. Becker , K. Nelissen , B. Cleuren

We reaccess the droplet condensation-evaporation transition of a three-dimensional Lennard-Jones system upon a temperature change. With the help of parallel multicanonical simulations we obtain precise estimates of the transition…

Soft Condensed Matter · Physics 2017-01-13 Johannes Zierenberg , Wolfhard Janke

Realistic modeling of ecological population dynamics requires spatially explicit descriptions that can take into account spatial heterogeneity as well as long-distance dispersal. Here, we present Monte Carlo simulations and numerical…

Statistical Mechanics · Physics 2024-10-07 R. Juhász , I. A. Kovács

The ensemble-switch method for computing wall excess free energies of condensed matter is extended to estimate the interface free energies between coexisting phases very accurately. By this method, system geometries with linear dimensions…

Statistical Mechanics · Physics 2014-06-04 Fabian Schmitz , Peter Virnau , Kurt Binder

A approach of finite size scaling theory for discontinous percolation with multiple giant clusters is developed in this paper. The percolation in generalized Bohman-Frieze-Wormald (BFW) model has already been proved to be discontinuous…

Statistical Mechanics · Physics 2017-10-10 Yong Zhu , Xiaosong Chen

The finite size effects of the dynamical structure factors in the XXZ-model are studied in the euclidean time $(\tau)$-representation. Away from the critical momentum $p=\pi$ finite size effects turn out to be small except for the large…

Condensed Matter · Physics 2009-10-28 K. Fabricius , U. Löw , K. -H. Mütter

Diffusion on a T fractal lattice under the influence of topological biasing fields is studied by finite size scaling methods. This allows to avoid proliferation and singularities which would arise in a renormalization group approach on…

Condensed Matter · Physics 2015-06-25 G. Sartoni , A. L. Stella