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Simulated annealing provides a heuristic solution to combinatorial optimization problems. The cost function of a problem is mapped onto the energy function of a physical many-body system, and, by using thermal or quantum fluctuations, the…

Statistical Mechanics · Physics 2025-12-05 Yoshiaki Horiike , Yuki Kawaguchi

Fluctuation relations for the entropy production in non equilibrium stationary states of Ising models are investigated by Monte Carlo simulations. Systems in contact with heat baths at two different temperatures or subject to external…

Statistical Mechanics · Physics 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella , A. Pelizzola

The Rayleigh-Plateau instability occurs when surface tension makes a fluid column become unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to surface energy densities. Consequently, at these scales,…

Fluid Dynamics · Physics 2023-06-21 Bryn Barker , John B. Bell , Alejandro L. Garcia

The signature for a non-Fermi liquid behavior near a quantum phase transition has been observed in thermal and transport properties of many metallic systems at low temperatures. In the present work we consider specific examples of itinerant…

Strongly Correlated Electrons · Physics 2009-10-30 Suresh G. Mishra , P. A. Sreeram

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…

High Energy Physics - Lattice · Physics 2009-10-22 Z. Burda , J. Wosiek

We study the fluctuation problems at high temperature in the general mixed $p$-spin glass models under the weak external field assumption: $h= \rho N^{-\alpha}, \rho>0, \alpha \in [1/4,\infty]$. By extending the cluster expansion approach…

Probability · Mathematics 2024-07-16 Partha S. Dey , Qiang Wu

We present numerical tests of the fluctuation-dissipation theorem (FDT) in the dumbbell model of spin ice with parameters suitable for dysprosium titanate. The tests are made for local spin variables, magnetic monopole density, and energy.…

Statistical Mechanics · Physics 2022-04-29 Valentin Raban , Ludovic Berthier , Peter C. W. Holdsworth

We use a combination of perturbation theory and numerical techniques to study the equilibration of two interacting fields which are initially at thermal equilibrium at different temperatures. Using standard rules of quantum field theory, we…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Vaz , M. E. Carrington , R. Kobes , G. Kunstatter

The problem of N interacting spins on a lattice is equivalent to one of N clusters linked in a specific manner. The energy of any configuration of spins can be expressed in terms of the energy levels of this cluster. A new expression is…

Statistical Mechanics · Physics 2007-05-23 T. R. S. Prasanna

We investigate the Ising model on a spherical surface, utilizing a Fibonacci lattice to approximate uniform coverage. This setup poses challenges in achieving consistent lattice distribution across the sphere for comparison with planar…

Computational Physics · Physics 2025-12-09 Zheng Zhou , Chen-Hui Song , Xu-Yang Hou , Hao Guo

We describe the relation between the isothermal atomic compressibility and density fluctuations in mixtures of two-component fermions with population or mass imbalance. We derive a generalized version of the fluctuation-dissipation theorem…

Quantum Gases · Physics 2011-05-24 Kangjun Seo , Carlos A. R. Sá de Melo

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

Statistical Mechanics · Physics 2023-03-23 Alex Fontana , Ludovic Bellon

There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model for quantum criticality. Here, we study the local spin dynamical structure factor of different…

Strongly Correlated Electrons · Physics 2022-10-03 Jiahao Yang , Weishi Yuan , Takashi Imai , Qimiao Si , Jianda Wu , Márton Kormos

A spin-1 transverse Ising model with longitudinal crystal field in a longitudinal magnetic field is examined by introducing an effective field approximation (IEFT) which includes the correlations between different spins that emerge when…

Statistical Mechanics · Physics 2010-10-12 Yusuf Yuksel , Hamza Polat

We investigate thermalization dynamics of a driven dipolar many-body quantum system through the stability of discrete time crystalline order. Using periodic driving of electronic spin impurities in diamond, we realize different types of…

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

Statistical Mechanics · Physics 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

The Fluctuation-Dissipation Theorem (FDT) is a powerful tool to estimate the thermal noise of physical systems in equilibrium. In general however, thermal equilibrium is an approximation, or cannot be assumed at all. A more general…

Statistical Mechanics · Physics 2021-10-08 Alex Fontana , Richard Pedurand , Vincent Dolique , Ghaouti Hansali , Ludovic Bellon

We present measurements of the dynamics of a polarized magnetic environment coupled to the flux degree of freedom of rf-SQUID flux qubits. The qubits are used as both sources of polarizing field and detectors of the environmental…

Quantum Physics · Physics 2020-04-02 T. Lanting , M. H. Amin , C. Baron , M. Babcock , J. Boschee , S. Boixo , V. N. Smelyanskiy , M. Foygel , A. G. Petukhov

Three one-body profiles that correspond to local fluctuations in energy, in entropy, and in particle number are used to describe the equilibrium properties of inhomogeneous classical many-body systems. Local fluctuations are obtained from…

Soft Condensed Matter · Physics 2026-04-08 Tobias Eckert , Nex C. X. Stuhlmüller , Florian Sammüller , Matthias Schmidt

The static path approximation to the path integral representation of partition function provides a natural microscopic basis to deal with thermal fluctuations around mean field configurations. Using this approach for one-dimensional…

Nuclear Theory · Physics 2009-10-22 B. K. Agrawal , A. Ansari