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The distribution of solutions of the Thouless-Anderson-Palmer equation is studied by extensive numerical experiments for fully connected 3-body interaction Ising spin glass models in a level of annealed calculation. A recent study predicted…

Disordered Systems and Neural Networks · Physics 2015-06-25 Yukinori Tonosaki , Koujin Takeda , Yoshiyuki Kabashima

A method is presented, which allows to sample directly low-temperature configurations of glassy systems, like spin glasses. The basic idea is to generate ground states and low lying excited configurations using a heuristic algorithm. Then,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alexander K. Hartmann , Federico Ricci-Tersenghi

We propose a new Monte Carlo method for efficiently sampling trajectories with fixed initial and final conditions in a system with discrete degrees of freedom. The method can be applied to any stochastic process with local interactions,…

Statistical Mechanics · Physics 2012-03-30 Thierry Mora , Aleksandra M. Walczak , Francesco Zamponi

We introduce an algorithm to systematically improve the efficiency of parallel tempering Monte Carlo simulations by optimizing the simulated temperature set. Our approach is closely related to a recently introduced adaptive algorithm that…

Other Condensed Matter · Physics 2007-05-23 Helmut G. Katzgraber , Simon Trebst , David A. Huse , Matthias Troyer

The fractal dimensions and the percolation exponents of the geometrical spin clusters of like sign at criticality, are obtained numerically for an Ising model with temperature-dependent annealed bond dilution, also known as the thermalized…

Statistical Mechanics · Physics 2012-04-03 S. Davatolhagh , M. Moshfeghian , A. A. Saberi

A new approach known as flat histogram method is used to study the +/-J Ising spin glass in two dimensions. Temperature dependence of the energy, the entropy, and other physical quantities can be easily calculated and we give the results…

Statistical Mechanics · Physics 2009-10-31 Zhi Fang Zhan , Lik Wee Lee , Jian-Sheng Wang

We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both with tools borrowed from equilibrium statistical mechanics as…

Statistical Mechanics · Physics 2015-12-15 Davide Faranda , Martin Mihelich , Berengere Dubrulle

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is…

Numerical Analysis · Mathematics 2018-08-15 Jisheng Kou , Shuyu Sun

In this article, new results are presented for the zero-temperature ground-state properties of the spin-half transverse Ising model on various lattices using three different approximate techniques. These are, respectively, the coupled…

Strongly Correlated Electrons · Physics 2017-08-23 R. F. Bishop , D. J. J. Farnell , M. L. Ristig

We show that a large class of nonequilibrium many-body systems in contact with two thermal baths admit an exact mapping onto equivalent equilibrium systems. This mapping provides direct access to nonequilibrium phase transition points from…

Statistical Mechanics · Physics 2025-11-05 Iago N. Mamede , Carlos E. Fiore , Gustavo A. L. Forão , Karel Proesmans , André P. Vieira

Temperature estimation of interacting quantum many-body systems is both a challenging task and topic of interest in quantum metrology, given that critical behavior at phase transitions can boost the metrological sensitivity. Here we study…

Quantum Physics · Physics 2023-12-05 Mei Yu , H. Chau Nguyen , Stefan Nimmrichter

We propose new universal formulae for thermal two-point functions of scalar operators based on their analytic structure, constructed to manifestly satisfy all the bootstrap conditions. We derive a dispersion relation in the complexified…

High Energy Physics - Theory · Physics 2026-05-20 Julien Barrat , Deniz N. Bozkurt , Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

We introduce a two-temperature Ising model as a prototype of superstatistic critical phenomena. The model is described by two temperatures ($T_1,T_2$) in zero magnetic field. To predict the phase diagram and numerically estimate the…

Statistical Mechanics · Physics 2021-03-10 J. Cheraghalizadeh , M. Seifi , Z. Ebadi , H. Mohammadzadeh , M. N. Najafi

In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the thermodynamic limit. The Ising models consist of repeated…

Statistical Mechanics · Physics 2018-06-05 Helen Au-Yang , Jacques H. H. Perk

We describe in detail two numerical simulation methods valid to study systems whose thermostatistics is described by generalized entropies, such as Tsallis. The methods are useful for applications to non-trivial interacting systems with a…

Statistical Mechanics · Physics 2009-10-31 R. Salazar , R. Toral

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

Disordered Systems and Neural Networks · Physics 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

Extending many-body numerical techniques which are powerful in the context of simple model calculations to the realm of realistic material simulations can be a challenging task. Realistic systems often involve multiple active orbitals,…

Strongly Correlated Electrons · Physics 2025-07-23 Jonas B. Profe , Jiawei Yan , Karim Zantout , Philipp Werner , Roser Valentí

This paper provides a comparison between the vibrational-specific state-to-state (StS) model for nitrogen plasma elaborated in Part I of this work and conventional two-temperature (2-T) models for simulating inductively coupled plasma (ICP)…

Plasma Physics · Physics 2024-10-21 Sanjeev Kumar , Alessandro Munafo , Sung Min Jo , Marco Panesi

Comparison of the thermodynamic entropy with Boltzmann's principle shows that under conditions of constant volume the total number of arrangements in simple thermodynamic systems with temperature-independent heat capacities is TC/k. A…

General Physics · Physics 2009-11-13 David Sands

In this work a replica exchange Monte Carlo scheme which considers an extended isobaric-isothermal ensemble with respect to pressure is applied to study hard spheres (HS). The idea behind the proposal is expanding volume instead of…

Statistical Mechanics · Physics 2015-05-20 Gerardo Odriozola