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Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix containing typically quantum effects, such as a hopping…

Statistical Mechanics · Physics 2009-10-31 R. Kotecky , D. Ueltschi

We consider 2d gas of spinless fermions with the Coulomb interaction on a lattice at T=0 and at different values of the hopping amplitude J. At small J electrons form a periodic structure. At filling factor \nu=1/6 this structure melts at J…

Condensed Matter · Physics 2008-02-03 E. V. Tsiper , F. G. Pikus , A. L. Efros

The classical Coulomb gas model has served as one of the most versatile frameworks in statistical physics, connecting a vast range of phenomena across many different areas. Nonequilibrium generalisations of this model have so far been…

Statistical Mechanics · Physics 2022-07-04 Saeed Mahdisoltani , Ramin Golestanian

We study the role of the effective Coulomb interaction strength and length on the dynamics of nucleons in conditions according to those in a neutron star's crust. Calculations were made with a semi-classical molecular dynamics model,…

Nuclear Theory · Physics 2014-05-14 P. N. Alcain , P. A. Giménez Molinelli , J. I. Nichols , C. O. Dorso

For a class of nonequilibrium systems, called driven lattice gases, we study what happens when two systems are kept in contact and allowed to exchange particles with the total number of particles conserved. Both for attractive and repulsive…

Statistical Mechanics · Physics 2011-10-13 Punyabrata Pradhan , Robert Ramsperger , Udo Seifert

The isospin-asymmetry dependence of the nuclear matter equation of state obtained from microscopic chiral two- and three-body interactions in second-order many-body perturbation theory is examined in detail. The quadratic, quartic and…

Nuclear Theory · Physics 2016-05-11 Corbinian Wellenhofer , Jeremy W. Holt , Norbert Kaiser

Research on quantum magnetism with ultra-cold gases in optical lattices is expected to open fascinating perspectives for the understanding of fundamental problems in condensed-matter physics. Here we report on the first realization of…

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

We consider a classical model of charges $\pm q$ on a pyrochlore lattice in the presence of long range Coulomb interactions. This model first appeared in the early literature on charge order in magnetite. In the limit where the interactions…

Strongly Correlated Electrons · Physics 2015-06-17 Paul McClarty , Aroon O'Brien , Frank Pollmann

The oscillator parameter in nuclei is refitted to reproduce the available charge radius data. As an important improvement, we include the Coulomb term evaluated within the assumption of a uniformly charged sphere, and take into account the…

Nuclear Theory · Physics 2023-11-28 Latsamy Xayavong , Yeunhwan Lim

Atomistic simulations hold significant value in clarifying crucial phenomena such as phase transitions and energy transport in materials science. Their success stems from the presence of potential energy functions capable of accurately…

Motivated by the decade-long debate over the issue of criticality supposedly observed in nuclear multifragmentation, we propose a dynamical lattice model to simulate the phenomenon. Its Ising Hamiltonian mimics a short range attractive…

Statistical Mechanics · Physics 2015-06-25 J. S. Sa' Martins , P. M. C. de Oliveira

The relativistic mean field theory in combination with the analytic continuation in the coupling constant method is used to determine the energies and widths of single-particle resonant states in Sn isotopes. It is shown that there exists…

Nuclear Theory · Physics 2009-11-11 Jian You Guo , Xiang Zheng Fang

An isospin and spin dependent form of the equation of state for nuclear matter is presented. This form is used for the description of nucleon interaction in a new dynamic model. Preliminary calculations show that the new approach makes…

Nuclear Theory · Physics 2015-06-15 Zbigniew Sosin , Jinesh Kallunkathariyil

We recently put forth a new fundamental lattice Hamiltonian based on an underlying picture of electrons and deuterons as elementary Dirac particles. Within this model there appears a term in which lattice vibrations are coupled to internal…

General Physics · Physics 2012-04-11 P. L. Hagelstein , I. U. Chaudhary

The incompressible liquid-drop (ILD) model reproduces masses of stable nuclei rather well. Here we show how the ILD volume, surface, symmetry, and Coulomb energies are related to the equation of state of nuclear matter using the…

Nuclear Theory · Physics 2023-06-28 Kazuhiro Oyamatsu

Arrays of ultra-cold dipolar gases loaded in optical lattices are emerging as powerful quantum simulators of the many-body physics associated with the rich interplay between long-range dipolar interactions, contact interactions, motion, and…

In the Widom-Rowlinson lattice gas, two particle species (A, B) diffuse freely via particle-hole exchange, subject to both on-site exclusion and prohibition of A-B nearest-neighbor pairs. As an athermal system, the overall densities are the…

Statistical Mechanics · Physics 2018-08-01 Ronald Dickman , R. K. P. Zia

The density dependence of the nuclear symmetry energy remains one of the key uncertainties in contemporary nuclear physics, with significant implications for the structure of exotic nuclei, the dynamics of heavy-ion collisions, and the…

Nuclear Theory · Physics 2026-05-08 S. Mallik , F. Gulminelli , C. Ciampi , D. Gruyer

Isospin-breaking effects in nuclear matter are studied in the framework of a medium-modified Skyrme model. The proposed effective Lagrangian incorporates both the medium influence of the surrounding nuclear environment on the single nucleon…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , A. M. Rakhimov , A. Wirzba , U. T. Yakhshiev