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We present an efficient method for simulating Coulomb systems confined by metal electrodes. The approach relies on Green functions techniques to obtain the electrostatic potential for an infinite periodically replicated system. This avoids…

Soft Condensed Matter · Physics 2017-12-14 Matheus Girotto , Alexandre P. dos Santos , Yan Levin

An expression for the Green's function (GF) of anisotropic face centered cubic lattice is evaluated analytically and numerically for a single impurity problem. The density of states (DOS), phase shift and scattering cross section are…

Other Condensed Matter · Physics 2009-04-01 J. H. Asad , R. S. Hijjawi , A. J. Sakaji , J. M. Khalifeh

In this work we analyze the statistical thermodynamics of Diced lattice carriers employing a Greens function formulation to examine the grand potential, Helmholtz free energy, the grand and ordinary partition functions and entropy. This…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Norman J. M. Horing , M. L. Glasser , Jay D. Mancini

We calculate thermodynamic quantities in symmetric nuclear matter within the self-consistent Green's functions method including three-body forces. The thermodynamic potential is computed directly from a diagrammatic expansion, implemented…

Nuclear Theory · Physics 2009-08-26 V. Soma , P. Bozek

The Green-function technique, termed the irreducible Green functions (IGF) method, that is a certain reformulation of the equation-of motion method for double-time temperature dependent Green functions is presented. This method was…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

In this article, we investigate the thermal properties of non-relativistic many-body systems at finite temperature and chemical potential. We compute the one-point function of various operators constructed out of the basic fields in ideal…

High Energy Physics - Theory · Physics 2025-03-11 Rajesh Kumar Gupta , Meenu

A theoretical analysis of Coulomb systems on lattices in general dimensions is presented. The thermodynamics is developed using Debye-Huckel theory with ion-pairing and dipole-ion solvation, specific calculations being performed for 3D…

Statistical Mechanics · Physics 2009-11-07 Vladimir Kobelev , Anatoly B. Kolomeisky , Michael E. Fisher

We briefly review analytic approximations of thermodynamic functions of fully ionized nonideal electron-ion plasmas, applicable in a wide range of plasma parameters, including the domains of nondegenerate and degenerate, nonrelativistic and…

Plasma Physics · Physics 2010-02-01 A. Y. Potekhin , G. Chabrier

Thermodynamic response functions, namely the isothermal compressibility, the thermal pressure coefficient, and the thermal expansion coefficient, are calculated for a many-particle system interacting through a modified Morse potential.…

Statistical Mechanics · Physics 2024-09-17 O. A. Dobush , M. P. Kozlovskii , R. V. Romanik , I. V. Pylyuk

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential,…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Makoto Yamashita

Nowadays, hydrogen activation by frustrated Lewis pairs (FLPs) and their applications have been demonstrated to be one of emerge research topics in the field of catalysis. Previous studies have shown that the thermodynamics of these…

Chemical Physics · Physics 2021-02-03 Xiaoqing Liu , Xue Li , Xiaoqian Yao , Weizhen Zhao , Lei Liu

Lattice Green's functions (LGF) and density of states (DOS) for non-interacting models on 3 related lattices are presented. The DOS and LGF at the origin for the kagome and diced lattices are rederived. Furthermore, from the form obtained…

Statistical Mechanics · Physics 2013-11-01 Vipin Kerala Varma , Hartmut Monien

An efficient calculation method is proposed for the face centered cubic (FCC) lattice Green function. The method is based on binomial expansion theorems, which is provide us establish analytical formulae through simple basic integrals. The…

Mathematical Physics · Physics 2012-05-08 B. A. Mamedov

A wide range of analytical and numerical methods are available to study quantum spin systems. However, the complexity of spin correlations and interactions limits their applicability to specific temperature ranges. The analytical approach…

Strongly Correlated Electrons · Physics 2024-01-15 Daiki Sasamoto , Takao Morinari

A self-consistent approach based on finite temperature Green's functions is used to investigate thermodynamic properties of nuclear matter. The internal energy is derived from the diagrams associated to the interaction energy. Pressure and…

Nuclear Theory · Physics 2008-11-26 V. Soma , P. Bozek

The asymmetric Hubbard model is used in investigating the lattice gas of the moving particles of two types. The model is considered within the dynamical mean-field method. The effective single-site problem is formulated in terms of the…

Strongly Correlated Electrons · Physics 2024-01-30 I. V. Stasyuk , O. B. Hera

We study the face-centered cubic lattice (fcc) in up to six dimensions. In particular, we are concerned with lattice Green's functions (LGF) and return probabilities. Computer algebra techniques, such as the method of creative telescoping,…

Combinatorics · Mathematics 2013-03-12 Christoph Koutschan

The low-temperature series for the free energy density, pressure, magnetization and susceptibility of cubic ideal ferromagnets in weak external magnetic fields are discussed within the effective Lagrangian framework up to three loops. The…

Strongly Correlated Electrons · Physics 2015-11-11 Christoph P. Hofmann

The dyadic Green's function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including…

Optics · Physics 2015-12-23 J. A. Crosse , Sebastian Fuchs , Stefan Yoshi Buhmann

A Coulomb lattice-gas model with a host lattice screening mechanism is adapted to describe the ordering phenomena in alkali-metal fullerides of body-centered-cubic structure. It is assumed that the electric charge of an alkali ion residing…

Condensed Matter · Physics 2009-10-28 Gyorgy Szabo , Laszlo Udvardi
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