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Finite Sample Smeariness (FSS) has been recently discovered. It means that the distribution of sample Fr\'echet means of underlying rather unsuspicious random variables can behave as if it were smeary for quite large regimes of finite…

Statistics Theory · Mathematics 2021-03-02 Benjamin Eltzner , Shayan Hundrieser , Stephan F. Huckemann

We calculate the finite size scaling of the sample-to-sample fluctuations of the free energy $\Delta F$ of the $m$ component vector spin glass in the large-$m$ limit. This is accomplished using a variant of the interpolating Hamiltonian…

Disordered Systems and Neural Networks · Physics 2013-05-29 T. Aspelmeier , A. Braun

Uniform and multi-dispersed grain packs have been frequently used to conceptually study flow in porous media. Numerical simulations were previously used to address the effect of particle shape on characteristics, such as pore space fractal…

Geophysics · Physics 2021-11-16 Elnaz Rezaei , Kamran Zeinalzadeh , Behzad Ghanbarian

We discuss the quantum statistical fluctuations of energy in subsystems of hot relativistic gas for both spin-zero and spin half particles. We explicitly show the system size dependence of the quantum statistical fluctuation of energy. Our…

Nuclear Theory · Physics 2022-06-15 Arpan Das

The influence of finite size effects, choice of statistical ensemble and contribution of the forces in numerical simulations using the dissipative particle dynamics (DPD) model are revisited here. Finite size effects in stress anisotropy,…

Soft Condensed Matter · Physics 2016-12-08 Miguel Ángel Balderas Altamirano , Elías Pérez , Armando Gama Goicochea

In this study, a comprehensive view of a model crystal formation in a complex fluctuating medium is presented. The model incorporates Gaussian curvature effects at the crystal boundary as well as the possibility for superdiffusive motion…

Soft Condensed Matter · Physics 2012-10-03 A. Gadomski , J. Siodmiak , I. Santamaria-Holek , J. M. Rubi , M. Ausloos

Finite size effects alter not only the energy levels of small systems, but can also lead to new effective interactions within these systems. Here the problem of low energy quantum scattering by a spherically symmetric short range potential…

Quantum Physics · Physics 2009-11-11 J. I. Kim , J. Schmiedmayer , P. Schmelcher

We use an acoustic Lagrangian tracking technique, particularly adapted to measurements in open flows, and a versatile material particles generator (in the form of soap bubbles with adjustable size and density) to characterize Lagrangian…

Fluid Dynamics · Physics 2009-11-13 Nauman M. Qureshi , Mickael Bourgoin , Christophe Baudet , Alain Cartellier , Yves Gagne

We study the intrinsic nature of the finite system-size effect in estimating shear viscosity of dilute and dense fluids within the framework of the Green-Kubo approach. From extensive molecular dynamics simulations, we observe that the size…

Chemical Physics · Physics 2019-10-02 Kang-Sahn Kim , Changho Kim , George Em Karniadakis , Eok Kyun Lee , John J. Kozak

A new theoretical approach for the calculation of optical properties of complex solutions is proposed. It is based on a dielectric matrix with included small metallic inclusions (less than 3 nm) of spherical shape. We take into account the…

Soft Condensed Matter · Physics 2015-05-13 Vitaliy N. Pustovit , Tigran V. Shahbazyan , Leonid G. Grechko

We calculate the orbital magnetization of a confined 2DEG as a function of the number of electrons in the system. Size effects are investigated by systematically increasing the area of the confining region. The results for the finite system…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigurdur I. Erlingsson , Andrei Manolescu , Vidar Gudmundsson

The Chern-Simons Ginzburg-Landau theory for the fractional Quantum Hall effect is studied in the presence of a confining potential. We review the bulk properties of the model and discuss how the plateau formation emerges without any…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jon Magne Leinaas , Susanne Viefers

We derive the finite-volume correction to the binding energy of an N-particle quantum bound state in a cubic periodic volume. Our results are applicable to bound states with arbitrary composition and total angular momentum, and in any…

High Energy Physics - Lattice · Physics 2018-02-02 Sebastian König , Dean Lee

The semi-relativistic approach to electron and neutrino quasielastic scattering from nuclei is extended to include final-state interactions. Starting with the usual non-relativistic continuum shell model, the problem is relativized by using…

Nuclear Theory · Physics 2008-11-26 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , J. M. Udias

The spontaneous formation of micelles in aqueous solutions is governed by the amphipathic nature of surfactants and is practically interesting due to the regular use of micelles as membrane mimics, for the characterization of protein…

Chemical Physics · Physics 2020-12-02 Jonathan J. Harris , George A. Pantelopulos , John E. Straub

Clean metallic superlattice systems composed of alternating layers of superconducting and normal materials are considered, particularly aspects of the proximity effect as it affects the critical temperature. A simple model is used to…

Condensed Matter · Physics 2015-06-25 J. Chen , R. Kobes , J. Wang

We investigate the finite size corrections to the equilibrium magnetization of an Ising model on a random graph with $N$ nodes and $N^{\gamma}$ edges, with $1 < \gamma \leq 2$. By conveniently rescaling the coupling constant, the free…

Statistical Mechanics · Physics 2015-05-13 Julien Barre' , Antonia Ciani , Duccio Fanelli , Franco Bagnoli , Stefano Ruffo

It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , P. Provero , S. Vinti

Finite-size scaling (FSS) is a standard technique for measuring scaling exponents in spin glasses. Here we present a critique of this approach, emphasizing the need for all length scales to be large compared to microscopic scales. In…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. C. Carter , A. J. Bray , M. A. Moore

We examine the dynamics of statistical fluctuations in nuclear matter. Linear response functions for the average phase space density are derived within Landau theory. Properties of the stochastic forces are deduced from the quantal…

Nuclear Theory · Physics 2009-10-28 Dieter Kiderlen , Helmut Hofmann