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Using the $x-y$ model and a non-local updating scheme called cluster Monte Carlo, we calculate the superfluid density of a two dimensional superfluid on large-size square lattices $L \times L$ up to $400\times 400$. This technique allows us…

Condensed Matter · Physics 2009-10-22 Norbert Schultka , Efstratios Manousakis

Along with masses of pion and sigma meson modes, their dissociation into quark medium provide a detail spectral structures of the chiral partners. Present article has studied a finite size effect on that detail structure of chiral partners…

Nuclear Theory · Physics 2022-03-25 Paramita Deb , Sabyasachi Ghosh , Jai Prakash , Santosh Kumar Das , Raghava Varma

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

The equilibrium density distribution and thermodynamic properties of a Lennard-Jones fluid confined to nano-sized spherical cavities at constant chemical potential was determined using Monte Carlo simulations. The results describe both a…

Mesoscale and Nanoscale Physics · Physics 2010-04-27 James F. Lutsko , Julien Laidet , Patrick Grosfils

In this paper we study a class of physical systems that combine a finite number of mechanical and thermodynamic observables. We call them finite dimensional thermo-mechanical systems. We introduce these systems by means of simple examples.…

Mathematical Physics · Physics 2016-09-29 Hernán Cendra , Sergio Grillo , Maximiliano Palacios Amaya

We analyze the effect of a finite volume on the thermodynamic potentials of a relativistic quantum field theory defined on a hypertorus at vanishing chemical potential. Using the symmetries of the Euclidean partition function, we interpret…

High Energy Physics - Theory · Physics 2009-07-28 Harvey B. Meyer

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

The singular part of the finite-size free energy density $f_s$ of the O(n) symmetric $\phi^4$ field theory in the large-n limit is calculated at finite cutoff for confined geometries of linear size L with periodic boundary conditions in 2 <…

Statistical Mechanics · Physics 2009-11-07 X. S. Chen , V. Dohm

We present a simple strategy in order to show the existence and uniqueness of the infinite volume limit of thermodynamic quantities, for a large class of mean field disordered models, as for example the Sherrington-Kirkpatrick model, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Francesco Guerra , Fabio L. Toninelli

Using computer simulations, we validate a simple free energy model that can be analytically solved to predict the equilibrium size of self-limiting clusters of particles in the fluid state governed by a combination of short-range attractive…

Soft Condensed Matter · Physics 2016-08-25 Jonathan A. Bollinger , Thomas M. Truskett

In this Letter we report a simulation study in which we compare the solid-liquid interfacial free energy of NaCl at coexistence, with the value that follows from the height of the homogeneous nucleation barrier. We find that the two…

Materials Science · Physics 2011-12-13 T. Zykova-Timan , C. Valeriani , E. Sanz , D. Frenkel , E. Tosatti

We study the three-dimensional Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Monte Carlo data…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matteo Palassini , Sergio Caracciolo

Contrary to field theoretical calculations in the thermodynamic limit where the volume is assumed to be infinitely large, the heavy-ion collisions always carry the effects of finite size. A sufficiently small system size is expected to…

High Energy Physics - Phenomenology · Physics 2023-08-24 Győző Kovács , Péter Kovács , Pok Man Lo , Krzysztof Redlich , György Wolf

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

The thermodynamics of hot and dense matter created in heavy-ion collision experiments are usually studied as a system of infinite volume. Here we report on possible effects for considering a finite system size for such matter in the…

High Energy Physics - Phenomenology · Physics 2015-04-16 Abhijit Bhattacharyya , Rajarshi Ray , Subhasis Samanta , Subrata Sur

The conjecture, that the finite volume corrections to the thermodynamic functions can be correctly reproduced by using the thermodynamic limit with low particle momenta cutoff is examined in a very transparent example of an ideal boson gas…

Nuclear Theory · Physics 2016-11-14 Krzysztof Redlich , Kacper Zalewski

We present the first analytic study of finite-size effects on critical diffusion above and below T_c of three-dimensional Ising-like systems whose order parameter is coupled to a conserved density. We also calculate the finite-size…

Statistical Mechanics · Physics 2009-10-31 Wolfgang Koch , Volker Dohm

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

Via a combination of molecular dynamics (MD) simulations and finite-size scaling (FSS) analysis, we study dynamic critical phenomena for the vapor-liquid transition in a three dimensional Lennard-Jones system. The phase behavior of the…

Statistical Mechanics · Physics 2017-08-18 Jiarul Midya , Subir K. Das

Expressions for the thermodynamic potential of a Dirac fermion gas are represented at finite temperature with the chemical potential in an ultrastatic space $R^d\times S^N$. The high- and low- temperature expansions for the thermodynamic…

High Energy Physics - Theory · Physics 2012-10-31 Kiyoshi Shiraishi