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The effects of finite size and of finite current on the current-voltage characteristics of Josephson junction arrays is studied both theoretically and by numerical simulations. The cross-over from non-linear to linear behavior at low…

Superconductivity · Physics 2009-10-28 M. V. Simkin , J. M. Kosterlitz

The correlation function of two dimensional Ising model with the nearest neighbours interaction on the finite size lattice with the periodical boundary conditions is derived. The expressions similar to the form factor representation are…

High Energy Physics - Theory · Physics 2007-05-23 A. I. Bugrij

We reanalyze the recently derived response function for interacting systems in relaxation time approximation respecting density, momentum and energy conservation. We find that momentum conservation leads exactly to the local field…

Nuclear Theory · Physics 2009-11-06 Klaus Morawetz , Uwe Fuhrmann

We discuss the implications of finite size effects on the determination of the order of a phase transition which may occur in infinite systems. We introduce a specific model to which we apply different tests. They are aimed to characterise…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , N. Michel , J. Richert , P. Wagner

Boundary modes localized on the boundaries of a finite-size lattice experience a finite size effect (FSE) that could result in unwanted couplings, crosstalks and formation of gaps even in topological boundary modes. It is commonly believed…

Classical Physics · Physics 2023-05-01 Tao Liu , Kai Bai , Yicheng Zhang , Duanduan Wan , Yun Lai , C. T. Chan , Meng Xiao

We study the role of finite size effects on a metallic critical behavior near a q = 0 critical point and compare the results with the recent extensive quantum Monte-Carlo (QMC) study [Y. Schattner et al, PRX 6, 0231028]. This study found…

Strongly Correlated Electrons · Physics 2017-08-02 Avraham Klein , Andrey Chubukov

We present a comprehensive theoretical study of finite size effects in the relaxation dynamics of glass-forming liquids. Our analysis is motivated by recent theoretical progress regarding the understanding of relevant correlation length…

Statistical Mechanics · Physics 2012-09-12 Ludovic Berthier , Giulio Biroli , Daniele Coslovich , Walter Kob , Cristina Toninelli

We investigate the finite-size effects on the dynamical evolution of the Kuramoto model with inertia coupled through triadic interactions. Our findings reveal that fluctuations resulting from the finite size drive the system toward a…

Adaptation and Self-Organizing Systems · Physics 2025-07-01 Manuel Lourenco , Abhishek Sharma , Priyanka Rajwani , Erick Alejandro Madrigal Solis , Mehrnaz Anvari , Sarika Jalan

Finite size effects in the multicriticity point and boundaries between phases are calculated. There are anomalous large finite size effects on the boundary of ferromagnetic phase with paramagnetic or spin-glass. Multicriticity point is not…

Condensed Matter · Physics 2016-08-31 Y. B. Saakian

We study finite-size effects on the dynamics of a one-dimensional zero-range process which shows a phase transition from a low-density disordered phase to a high-density condensed phase. The current fluctuations in the steady state show…

Statistical Mechanics · Physics 2009-11-13 Shamik Gupta , Mustansir Barma , Satya N. Majumdar

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

It is common knowledge that the microcanonical, canonical, and grand-canonical ensembles are equivalent in thermodynamically large systems. Here, we study finite-size effects in the latter two ensembles. We show that contrary to naive…

Statistical Mechanics · Physics 2017-09-04 Deepak Iyer , Mark Srednicki , Marcos Rigol

The hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of…

Statistical Mechanics · Physics 2015-06-23 J. Javier Brey , M. J. Ruiz-Montero

We present a collective coordinate approach to study the collective behaviour of a finite ensemble of $N$ stochastic Kuramoto oscillators using two degrees of freedom; one describing the shape dynamics of the oscillators and one describing…

Adaptation and Self-Organizing Systems · Physics 2017-09-11 Georg A. Gottwald

Concentrating on zero temperature Quantum Monte Carlo calculations of electronic systems, we give a general description of the theory of finite size extrapolations of energies to the thermodynamic limit based on one and two-body correlation…

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

We derive consistency relations for the late universe (CDM and \Lambda CDM): relations between an n-point function of the density contrast \delta and an (n+1)-point function in the limit in which one of the (n+1) momenta becomes much…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-20 Paolo Creminelli , Jorge Noreña , Marko Simonović , Filippo Vernizzi

The effects of a finite system volume on thermodynamic quantities, such as the pressure, energy density, specific heat, speed of sound, conserved charge susceptibilities and correlations, in hot and dense strongly interacting matter are…

High Energy Physics - Phenomenology · Physics 2024-01-12 Somenath Pal , Anton Motornenko , Volodymyr Vovchenko , Abhijit Bhattacharyya , Jan Steinheimer , Horst Stoecker

An effective model is introduced to illustrate finite volume effects beyond the usual momentum space constraints. The fluctuations of the chiral order parameter and the net baryon number, as well as their scaling properties, are…

High Energy Physics - Phenomenology · Physics 2025-10-29 Győző Kovács , Pok Man Lo , Krzysztof Redlich , Chihiro Sasaki

A new perturbation theory is proposed for studying finite-size effects near critical point of the $\phi^4$ model with a one-component order parameter. The new approach is based on the techniques of generating functional and functional…

Condensed Matter · Physics 2007-05-23 C. B. Yang , X. Cai