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A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard…

高能物理 - 格点 · 物理学 2009-10-22 Z. Burda , J. Wosiek

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

统计力学 · 物理学 2007-05-23 R. S. Ellis , P. Otto , H. Touchette

We consider the Microcanonical Variational Principle for the vortex system in a bounded domain. In particular we are interested in the thermodynamic properties of the system in domains of second kind, i.e. for which the equivalence of…

数学物理 · 物理学 2023-12-27 Dario Benedetto , Emanuele Caglioti , Margherita Nolasco

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

概率论 · 数学 2007-05-23 Richard S. Ellis , Peter T. Otto , Hugo Touchette

Here we first develop the thermodynamics of microcanonical phase transitions of first and second order in systems which are thermodynamically stable in the sense of van Hove. We show how both kinds of phase transitions can unambiguously be…

凝聚态物理 · 物理学 2019-08-17 D. H. E. Gross , M. E. Madjet , O. Schapiro

We consider quantum-to-classical mapping for an arbitrary system of interacting spins at finite temperatures. We prove that, in the large-$S$ limit, the asymptotic form of the partition function coincides with that of a classical model for…

统计力学 · 物理学 2026-02-19 A. El Mendili , M. E. Zhitomirsky

We present a method for performing atomistic spin dynamic simulations. A comprehensive summary of all pertinent details for performing the simulations such as equations of motions, models for including temperature, methods of extracting…

材料科学 · 物理学 2014-04-04 B. Skubic , J. Hellsvik , L. Nordström , O. Eriksson

We study the XY model on a spherical surface inspired by recently realized spherically confined atomic gases. Instead of a traditional latitude-longitude lattice, we introduce a much more homogeneous spherical lattice, the Fibonacci…

量子气体 · 物理学 2024-10-11 Chen-Hui Song , Qu-Cheng Gao , Xu-Yang Hou , Xin Wang , Zheng Zhou , Yan He , Hao Guo , Chih-Chun Chien

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

统计力学 · 物理学 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

We have implemented three approaches to describe the thermodynamic properties of ferrimagnetic ($S=5/2, s=2$) spin chains. The application of cumulant expansion has been generalized to the ferrimagnetic chain in the presence of an external…

强关联电子 · 物理学 2009-11-11 J. Abouie , S. A. Ghasemi , A. Langari

Various types of mixed spin two-dimensional Heisenberg networks are investigated by means of Monte Carlo simulations. This study aims at interpreting quantitatively the thermodynamical properties of two-dimensional molecule-based magnets…

统计力学 · 物理学 2009-10-30 B. Mombelli , O. Kahn , J. Leandri , Y. Leroyer , S. Mechkov , Y. Meurdesoif

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

An analytical method to compute thermodynamic properties of a given Hamiltonian system is proposed. This method combines ideas of both dynamical systems and ensemble approaches to thermodynamics, providing de facto a possible alternative to…

统计力学 · 物理学 2009-10-31 Xavier Leoncini , Alberto D. Verga

Relying on the recently proposed multicanonical algorithm, we present a numerical simulation of the first order phase transition in the 2d 10-state Potts model on lattices up to sizes $100\times100$. It is demonstrated that the new…

高能物理 - 格点 · 物理学 2009-10-22 B. A. Berg , T. Neuhaus

The current theoretical and experimental situation is reviewed for low-dimensional (layered and chain-like) insulating systems. Such systems possess a low magnetic transition temperature $T_M$ and pronounced short-range magnetic order above…

强关联电子 · 物理学 2021-02-17 A. A. Katanin , V. Yu. Irkhin

Physical quantities obtained from the microcanonical entropy surfaces of classical spin systems show typical features of phase transitions already in finite systems. It is demonstrated that the singular behaviour of the microcanonically…

统计力学 · 物理学 2009-11-10 Hans Behringer

We propose a new recursive procedure to estimate the microcanonical density of states in multicanonical Monte Carlo simulations which relies only on measurements of moments of the energy distribution, avoiding entirely the need for energy…

统计力学 · 物理学 2007-05-23 J. Viana Lopes , Miguel D. Costa , J. M. B. Lopes dos Santos , R. Toral

We propose the use of microcanonical analyses for numerical studies of peptide aggregation transitions. Performing multicanonical Monte Carlo simulations of a simple hydrophobic-polar continuum model for interacting heteropolymers of finite…

软凝聚态物质 · 物理学 2009-11-13 Christoph Junghans , Michael Bachmann , Wolfhard Janke

High accuracy Monte Carlo study has been performed in the modified planar Lebwohl Lasher model containing and interaction, where and are second and fourth order Legendre polynomial having three-dimensional spin. Weakly First order Nematic…

软凝聚态物质 · 物理学 2022-02-01 Enakshi Guru

We investigate how the temperature calculated from the microcanonical entropy compares with the canonical temperature for finite isolated quantum systems. We concentrate on systems with sizes that make them accessible to numerical exact…

统计力学 · 物理学 2023-04-05 Phillip C. Burke , Masudul Haque