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Two simple spin models are studied to show that the microcanonical entropy can be a non-concave function of the energy, and that the microcanonical and canonical ensembles can give non-equivalent descriptions of the same system in the…

统计力学 · 物理学 2008-01-24 Hugo Touchette

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

凝聚态物理 · 物理学 2009-10-22 Andreas Klümper

We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

强关联电子 · 物理学 2015-06-16 Chisa Hotta , Naokazu Shibata

In this work we extend the applicability of the microcanonical ensemble simulation method, originally proposed to study the Ising model (A. H\"uller and M. Pleimling, Int. Journal of Modern Physics C, 13, 947 (2002),…

Discrete lattice simulations of an one-dimensional phi^4 theory coupled to an external heat bath are being carried out. Great care is taken to remove the effects of lattice discreteness and finite size and to establish the correct…

高能物理 - 格点 · 物理学 2008-02-03 Hans-Reinhard Mueller

There has been a surge of experimental effort recently in cooling trapped fermionic atoms to quantum degeneracy. By varying an external magnetic field, interactions between atoms can be made arbitrarily strong. When the S wave scattering…

高能物理 - 格点 · 物理学 2009-11-10 Matthew Wingate

A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of…

高能物理 - 理论 · 物理学 2007-05-23 Georg Junker

When considering magnetic systems in the thermodynamic limit and at low enough temperature, one finds typically magnetically ordered phases. In contrast, in the high-temperature regime, the interactions between the spin degrees of freedom…

强关联电子 · 物理学 2025-01-27 Sylvain Capponi

Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain near the ferromagnet-helimagnet transition point is studied by means of mapping to the continuum limit. The calculation of the partition function and spin…

统计力学 · 物理学 2015-05-19 D. V. Dmitriev , V. Ya. Krivnov

In this paper, we have studied the critical temperature $T_c$ of continuous spin $2d$ square-lattice Ising model using Monte-Carlo simulation. We have considered spins $s$ in a bounded interval, where $s \in [-1,+1]$ in square-lattice…

A generalization of the microcanonical ensemble suggests a simple strategy for the simulation of first order phase transitions. At variance with flat-histogram methods, there is no iterative parameters optimization, nor long waits for…

统计力学 · 物理学 2008-11-26 V. Martin-Mayor

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

统计力学 · 物理学 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

Most realistic, off-lattice surface simulations are done canonically--- conserving particles. For some applications, however, such as studying the thermal behavior of rare gas solid surfaces, these constitute bad working conditions. Surface…

材料科学 · 物理学 2009-10-30 Franck Celestini , Daniele Passerone , Furio Ercolessi , Erio Tosatti

This review gives a critical assessment of the current state of lattice simulations of QCD thermodynamics and what it teaches us about hot hadronic matter. It outlines briefly lattice methods for studying QCD at nonzero temperature and zero…

高能物理 - 格点 · 物理学 2010-01-21 Carleton DeTar

The high-temperature expansions for the spin-spin correlation function of the two-dimensional classical XY (planar rotator) model are extended by two terms, from order 24 through order 26, in the case of the square lattice, and by five…

高能物理 - 格点 · 物理学 2008-10-13 P. Butera , M. Pernici

In this work we analyze the thermodynamic properties of the pseudospin-1 Hamiltonian on the two-dimensional {\cal{T}} -3 or Diced Lattice. Starting from the Partition function, we obtain the Grand ensemble thermodynamic potential, entropy…

统计力学 · 物理学 2020-09-08 M. L. Glassere , M. J. M. Horing

In the past few years considerable progress has been made in Monte Carlo simulations of first-order phase transitions and in the analysis of the resulting finite-size data. In this paper special emphasis will be placed on multicanonical…

高能物理 - 格点 · 物理学 2007-05-23 Wolfhard Janke

Low-temperature thermodynamics of the classical frustrated ferromagnetic spin chain is studied. Using transfer-matrix method we found the behavior of the correlation function and zero-field susceptibility at the ferromagnetic-helical…

统计力学 · 物理学 2010-07-27 D. V. Dmitriev , V. Ya. Krivnov

We show how to use a central limit approximation for additive co-cycles to describe non-equilibrium and far from equilibrium thermodynamic behavior. We consider first two weakly coupled Hamiltonian dynamical systems initially at different…

统计力学 · 物理学 2012-04-11 Hans Henrik Rugh

We study the low-temperature properties of the classical three-dimensional compass or $t_{2g}$ orbital model on simple-cubic lattices by means of comprehensive large-scale Monte Carlo simulations. Our numerical results give evidence for a…

统计力学 · 物理学 2015-01-19 Max H. Gerlach , Wolfhard Janke