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Related papers: Finite Size Corrections for Dimers

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We discuss the origin of the finite size error of the energy in many-body simulation of systems of charged particles and we propose a correction based on the random phase approximation at long wave lengths. The correction comes from…

Other Condensed Matter · Physics 2009-11-11 Simone Chiesa , David M. Ceperley , Richard M. Martin , Markus Holzmann

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

We consider finite-size effects on the radiative energy loss of a fast parton moving in a finite temperature strongly interacting medium, using the light cone path integral formalism put forward by Zakharov. We present a convenient…

High Energy Physics - Phenomenology · Physics 2010-12-24 Simon Caron-Huot , Charles Gale

We develop a second order correction to commonly used density functional approximations (DFA) to eliminate the systematic delocalization error. The method, based on the previously developed global scaling correction (GSC), is an exact…

Chemical Physics · Physics 2021-07-22 Yuncai Mei , Zehua Chen , Weitao Yang

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the…

Atomic Physics · Physics 2017-01-02 Babak Nadiri Niri

Recent experiments on cold atoms in optical lattices allow for a quantitative comparison of the measurements to the conductivity calculations in the square lattice Hubbard model. However, the available calculations do not give consistent…

Strongly Correlated Electrons · Physics 2019-07-29 Jaksa Vucicevic , Jure Kokalj , Rok Zitko , Nils Wentzell , Darko Tanaskovic , Jernej Mravlje

We point out that ignoring nonlinear effects in finite size scaling may lead to errors in estimates of the critical temperature and Binder cumulants. We show that the order of magnitude of these effects can be estimated from data at…

High Energy Physics - Lattice · Physics 2008-02-21 Yannick Meurice

We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-martix conjectured for the deformed theory, we…

High Energy Physics - Theory · Physics 2015-06-03 Changrim Ahn , Diego Bombardelli , Minkyoo Kim

Nowadays, strict finite size effects must be taken into account in condensed matter problems when treated through models based on lattices or graphs. On the other hand, the cases of directed bonds or links are known as highly relevant, in…

Disordered Systems and Neural Networks · Physics 2016-06-15 G. S. Dhesi , M. Ausloos

Self-energy corrections to the energy levels of bound electrons are calculated in the framework of path integrals. We arrive at the full fermion propagator, using methods of functional integrals, in the form of Schwinger-Dyson equation…

Atomic Physics · Physics 2023-09-28 Sreya Banerjee , Zoltán Harman

The finite nuclear size correction to the bound-electron g factor in hydrogenlike atoms is investigated in the range Z=1-20. An analytical formula for this correction which includes the non-relativistic and dominant relativistic…

Atomic Physics · Physics 2009-11-07 D. A. Glazov , V. M. Shabaev

The lowest radiative correction to the Casimir energy density between two parallel plates is calculated using effective field theory. Since the correlators of the electromagnetic field diverge near the plates, the regularized energy density…

Quantum Physics · Physics 2009-10-30 Xinwei Kong , Finn Ravndal

We propose formulas for the L\"uscher type finite size energy correction of multiparticle states on the interval and evaluate them for the simplest case in the AdS/CFT setting. By this we determine the leading wrapping correction to the…

High Energy Physics - Theory · Physics 2012-04-05 Zoltan Bajnok , Laszlo Palla

In this work, some classical results of the pfaffian theory of the dimer model based on the work of Kasteleyn, Fisher and Temperley are introduced in a fermionic framework. Then we shall detail the bosonic formulation of the model {\it via}…

Statistical Mechanics · Physics 2015-06-23 Nicolas Allegra

We extend the effective field theory treatment of the thermodynamics of small compactified black holes to the case of charged black holes. The relevant thermodynamic quantities are computed to second order in the parameter…

High Energy Physics - Theory · Physics 2011-03-07 James B. Gilmore , Andreas Ross , Michael Smolkin

We consider the dimer model on the square and hexagonal lattices with doubly periodic weights. The purpose of this paper is threefold: (a) we establish a rigourous connection with the massive SLE$_2$ constructed by Makarov and Smirnov (and…

Probability · Mathematics 2024-10-21 Nathanaël Berestycki , Levi Haunschmid-Sibitz

Finite-size scaling is investigated in detail around the critical point in the heavy-quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio $N_s/N_t=12$ at a fixed…

High Energy Physics - Lattice · Physics 2022-01-05 Atsushi Kiyohara , Masakiyo Kitazawa , Shinji Ejiri , Kazuyuki Kanaya

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

We study 2D Maxwell-dilaton gravity with higher order corrections given by the Chern-Simons term. The model admits three distinctive $AdS_2$ vacuum solutions. By making use of the entropy function formalism we find the entropy of the…

High Energy Physics - Theory · Physics 2010-04-21 Mohsen Alishahiha , Reza Fareghbal , Amir E. Mosaffa

We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We…

High Energy Physics - Lattice · Physics 2009-10-28 Jesús Salas , Alan D. Sokal