Some statistical equilibrium mechanics and stability properties of a class of two-dimensional Hamiltonian mean-field models

J. M. Maciel; M. C. Firpo; M. A. Amato

doi:10.1016/j.physa.2014.12.030

Some statistical equilibrium mechanics and stability properties of a class of two-dimensional Hamiltonian mean-field models

J. M. Maciel
, M. C. Firpo
, M. A. Amato

Universidade de Brasília

Research output: Contribution to journal › Article › peer-review

Abstract

A two-dimensional class of mean-field models that may serve as a minimal model to study the properties of long-range systems in two space dimensions is considered. The statistical equilibrium mechanics is derived in the microcanonical ensemble using Monte Carlo simulations for different combinations of the coupling constants in the potential leading to fully repulsive, fully attractive and mixed attractive-repulsive potential along the Cartesian axis and diagonals. Then, having in mind potential realizations of long-range systems using cold atoms, the linear theory of this two-dimensional mean-field Hamiltonian models is derived in the low temperature limit.

Original language	English
Pages (from-to)	34-43
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	424
DOIs	https://doi.org/10.1016/j.physa.2014.12.030
Publication status	Published - 15 Apr 2015

Keywords

Cold atoms
Laser cooling
Long-range interacting systems
Magnetic traps
Mean-field models
Quasi-stationary states

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10.1016/j.physa.2014.12.030

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title = "Some statistical equilibrium mechanics and stability properties of a class of two-dimensional Hamiltonian mean-field models",

abstract = "A two-dimensional class of mean-field models that may serve as a minimal model to study the properties of long-range systems in two space dimensions is considered. The statistical equilibrium mechanics is derived in the microcanonical ensemble using Monte Carlo simulations for different combinations of the coupling constants in the potential leading to fully repulsive, fully attractive and mixed attractive-repulsive potential along the Cartesian axis and diagonals. Then, having in mind potential realizations of long-range systems using cold atoms, the linear theory of this two-dimensional mean-field Hamiltonian models is derived in the low temperature limit.",

keywords = "Cold atoms, Laser cooling, Long-range interacting systems, Magnetic traps, Mean-field models, Quasi-stationary states",

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AU - Maciel, J. M.

AU - Firpo, M. C.

AU - Amato, M. A.

PY - 2015/4/15

Y1 - 2015/4/15

N2 - A two-dimensional class of mean-field models that may serve as a minimal model to study the properties of long-range systems in two space dimensions is considered. The statistical equilibrium mechanics is derived in the microcanonical ensemble using Monte Carlo simulations for different combinations of the coupling constants in the potential leading to fully repulsive, fully attractive and mixed attractive-repulsive potential along the Cartesian axis and diagonals. Then, having in mind potential realizations of long-range systems using cold atoms, the linear theory of this two-dimensional mean-field Hamiltonian models is derived in the low temperature limit.

AB - A two-dimensional class of mean-field models that may serve as a minimal model to study the properties of long-range systems in two space dimensions is considered. The statistical equilibrium mechanics is derived in the microcanonical ensemble using Monte Carlo simulations for different combinations of the coupling constants in the potential leading to fully repulsive, fully attractive and mixed attractive-repulsive potential along the Cartesian axis and diagonals. Then, having in mind potential realizations of long-range systems using cold atoms, the linear theory of this two-dimensional mean-field Hamiltonian models is derived in the low temperature limit.

KW - Cold atoms

KW - Laser cooling

KW - Long-range interacting systems

KW - Magnetic traps

KW - Mean-field models

KW - Quasi-stationary states

UR - https://www.scopus.com/pages/publications/84921475805

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DO - 10.1016/j.physa.2014.12.030

M3 - Article

AN - SCOPUS:84921475805

SN - 0378-4371

VL - 424

SP - 34

EP - 43

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

Some statistical equilibrium mechanics and stability properties of a class of two-dimensional Hamiltonian mean-field models

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Keywords

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