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The one-component Coulomb gas on the sphere, consisting on $N$ unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength proportional to $N$, is considered. There are two spherical…

Mathematical Physics · Physics 2025-01-10 Sung-Soo Byun , Peter J. Forrester , Sampad Lahiry

Motivated by the recent shocking results from RHIC and LHC that show quark-gluon plasma signatures in small systems, we study a simple model of a massless, noninteracting scalar field confined with Dirichlet boundary conditions. We use this…

High Energy Physics - Theory · Physics 2021-01-06 Sylvain Mogliacci , Isobel Kolbé , W. A. Horowitz

This paper is a continuation of a previous one [L. {\v{S}}amaj, {\it J. Stat. Phys.} {\bf 120}:125 (2005)] dealing with the renormalization of a guest charge immersed in a two-dimensional logarithmic Coulomb gas of pointlike $\pm$ unit…

Statistical Mechanics · Physics 2009-11-11 L. Samaj

We study an integrable conformal OSp(2m + 2|2m) supercoset model as an analog to the AdS_5 X S^5 superstring world-sheet theory. Using the known S-matrix for this system, we obtain integral equations for states of large particle density in…

High Energy Physics - Theory · Physics 2008-11-26 Nelia Mann , Joe Polchinski

The small wavenumber $k$ behavior of the structure factor $S(k)$ of overcompressed amorphous hard-sphere configurations was previously studied for a wide range of densities up to the maximally random jammed state, which can be viewed as a…

Statistical Mechanics · Physics 2015-06-11 Étienne Marcotte , Frank H. Stillinger , Salvatore Torquato

A detailed analysis of the finite-size effects on the bulk critical behaviour of the $d$-dimensional mean spherical model confined to a film geometry with finite thickness $L$ is reported. Along the finite direction different kinds of…

Statistical Mechanics · Physics 2008-08-12 H. Chamati

In Carrasco et al. we have recently proposed a method to calculate $O(e^2)$ electromagnetic corrections to leptonic decay widths of pseudoscalar mesons. The method is based on the observation that the infrared divergent contributions (that…

High Energy Physics - Lattice · Physics 2021-09-15 N. Tantalo , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula

We consider the finite size effect on thermo-magnetic properties of charged Bose gases confined in a quasi two-dimentsional potential. A modified semiclassical approach is used, taking into account the finite size correction to guarantee an…

Quantum Gases · Physics 2017-11-27 A. H. Abbas , W. M. Seif , Th. elsherbini , Ahmed S. Hassan

We provide a complete picture to the selfgravitating non-relativistic gas at thermal equilibrium using Monte Carlo simulations, analytic mean field methods (MF) and low density expansions. The system is shown to possess an infinite volume…

Astrophysics · Physics 2009-11-06 H. J. de Vega , N. S'anchez

We study the classical two-dimensional one-component plasma of $N$ positively charged point particles, interacting via the Coulomb potential and confined by an external potential. For the specific inverse temperature $\beta=1$ (in our…

Mathematical Physics · Physics 2019-08-21 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

For a Coulomb system contained in a domain \Lambda, the dielectric susceptibility tensor \chi_{\Lambda} is defined as relating the average polarization in the system to a constant applied electric field, in the linear limit. According to…

Statistical Mechanics · Physics 2009-11-10 B. Jancovici , L. Samaj

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic…

Statistical Mechanics · Physics 2007-05-23 Gabriel Tellez

In the presence of a chemical potential, the physics of level crossings leads to singularities at zero temperature, even when the spatial volume is finite. These singularities are smoothed out at a finite temperature but leave behind…

High Energy Physics - Lattice · Physics 2010-07-13 Debasish Banerjee , Shailesh Chandrasekharan

We have studied the transition in shape of two dimensional polyampholytes using Monte Carlo simulation. We observe that polymers with randomly charged monomers get into a globular shape at lower temperatures, provided that their total…

Condensed Matter · Physics 2007-05-23 M. R. Ejtehadi , S. Rouhani

Electric double layers (EDL) with counterions only, say electrons with the elementary charge $-e$, in thermal equilibrium at the inverse temperature $\beta$ are considered. In particular, we study the effect of the surface charge modulation…

Statistical Mechanics · Physics 2022-07-26 Ladislav Šamaj

We consider the non-linear Poisson-Boltzmann theory for a single cylindrical or spherical macro-ion in symmetric 1:1, together with asymmetric 1:2 and 2:1 electrolytes. We focus on the regime where $\kappa a $, the ratio of the macro-ion…

Soft Condensed Matter · Physics 2015-07-28 L. Samaj , E. Trizac

The unitary Fermi gas, by virtue of its description as a nonrelativistic conformal field theory, has proven an interesting system by which the quantum properties of CFT can be held to experimental verification. Here, we examine the…

High Energy Physics - Theory · Physics 2022-06-10 Simeon Hellerman , Domenico Orlando , Vito Pellizzani , Susanne Reffert , Ian Swanson

We investigate the physical properties of an integrable extension of the Hubbard model with a free parameter $\gamma$ related to the quantum deformation of the superalgebra $sl(2|2)^{(2)}$. The Bethe ansatz solution is used to determine the…

Statistical Mechanics · Physics 2015-05-14 A. L. Malvezzi , M. J. Martins

We consider a one-dimensional gas of positive and negative unit charges interacting via a logarithmic potential, which is in thermal equilibrium at the (dimensionless) inverse temperature $\beta$. In a previous paper [Samaj, L.: J. Stat.…

Statistical Mechanics · Physics 2013-10-09 Ladislav Samaj

We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only…

Soft Condensed Matter · Physics 2015-06-04 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel