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The momentum or velocity autocorrelation function C(t) for a tagged oscillator in a finite harmonic system decays like that of an infinite system for short times, but exhibits erratic behavior at longer time scales. We introduce the…

Statistical Mechanics · Physics 2015-12-22 Dan Plyukhin , Alex V. Plyukhin

We investigate simultaneous effects of finite system size and global charge conservation on thermal fluctuations in the vicinity of a critical point. For that we consider a finite interacting system which exchanges particles with a finite…

Numerical simulations and experiments on nanostructures out of equilibrium usually exhibit strong finite size and finite measuring time $t_m$ effects. We discuss how these affect the determination of the full counting statistics for a…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 Peter Schmitteckert , Sam T. Carr , Hubert Saleur

The effect of the finite system size on the QCD phase diagram was studied with various momentum space constraints within a mean-field quark-meson model. On the one hand side, the choice of the scenario -- low-momentum cutoff and…

High Energy Physics - Phenomenology · Physics 2025-04-25 Győző Kovács

We discuss finite-size effects in one disordered ${\lambda}{\phi}^{4}$ model defined in a $d$-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a…

Statistical Mechanics · Physics 2016-12-21 R. Acosta Diaz , N. F. Svaiter

Most of the theoretical results on the kinematic amplification of small-scale magnetic fluctuations by turbulence have been confined to the model of white-noise-like advecting turbulent velocity field. In this work, the statistics of the…

Astrophysics · Physics 2009-10-31 Alexander Schekochihin , Russell Kulsrud

Numerical studies of the domain chaos state in a model of rotating Rayleigh-Benard convection suggest that finite size effects may account for the discrepancy between experimentally measured values of the correlation length and the…

Chaotic Dynamics · Physics 2009-10-31 M. C. Cross , M. Louie , D. Meiron

In this paper, we investigate how much of the numerical artefacts introduced by finite system size and choice of boundary conditions can be removed by finite size scaling, for strongly-correlated systems with quasi-long-range order.…

Strongly Correlated Electrons · Physics 2015-05-19 Sisi Tan , Siew Ann Cheong

Results are presented on structure functions and final state properties within the CCFM approach. Traditionally used forms of the CCFM equation have difficulty fitting the F_2 data, predicting too fast a growth at small x. A solution can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Salam

In this thesis we investigate finite size effects in 1+1 dimensional integrable QFT. In particular we consider matrix elements of local operators (finite volume form factors) and vacuum expectation values and correlation functions at finite…

High Energy Physics - Theory · Physics 2009-07-27 Balázs Pozsgay

Phase transitions, sharp in the thermodynamic limit, get smeared in finite systems where macroscopic order-parameter fluctuations dominate. Achieving a coherent and complete theoretical description of these fluctuations is a central…

Statistical Mechanics · Physics 2025-10-06 Rupak Majumder , Julien Barré , Shamik Gupta

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

Finite volume effects are studied both with low-momentum cutoff and with momentum discretization in the framework of an (axial)vector meson extended quark-meson model with Polyakov-loop variables. In the momentum cutoff scenario, the CEP…

High Energy Physics - Phenomenology · Physics 2024-01-17 Győző Kovács , Péter Kovács , Pok Man Lo , Krzysztof Redlich , György Wolf

Finite size effects in Euclidean ${\rm CP}^{N-1}$ models with periodic boundary conditions are investigated by means of the $1/N$ expansion and by Monte Carlo simulations. Analytic and numerical results for magnetic susceptibility and…

High Energy Physics - Lattice · Physics 2014-11-17 Paolo Rossi , Ettore Vicari

The search for the QCD critical end point (CEP) is a major objective of contemporary heavy-ion physics, motivating the study of fluctuation observables that are sensitive to critical dynamics. In particular, baryon-number fluctuations…

High Energy Physics - Phenomenology · Physics 2026-03-18 Athanasios Brofas , Fotios K. Diakonos

Molecular dynamics simulations are performed for a supercooled simple liquid with changing the system size from N=108 to $10^4$ to examine possible finite-size effects. Although almost no systematic deviation is detected in the static pair…

Soft Condensed Matter · Physics 2007-05-23 Kang Kim , Ryoichi Yamamoto

The influence of the finite sizes on the coherent properties of 3D Bose systems is considered. As is shown, the correlation functions of a Bose gas in a trap have essential differences from analogous correlation functions in an infinite…

Soft Condensed Matter · Physics 2009-11-10 V. S. Babichenko

Finite-size effects in systems with diverging characteristic lengthscale have been addressed via state-of-the-art Monte Carlo and molecular dynamics simulations of various models exhibiting solid-solid, liquid-liquid and vapor-liquid…

Statistical Mechanics · Physics 2018-03-09 Subir K. Das , Sutapa Roy , Suman Majumder , Shaista Ahmad

The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodynamic limit. However, real-world systems are finite, and…

Chaotic Dynamics · Physics 2025-06-30 Sergei Kirillov , Vladimir Klinshov

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
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