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We consider itinerant spinless fermions as moving defects in a dilute two-dimensional frustrated Ising system where they occupy site vacancies. Fermions interact via local spin fluctuations and we analyze coupled self-consistent mean-field…

Statistical Mechanics · Physics 2021-11-10 Jean-Yves Fortin , Pierrick Lample

Fluctuations of local fields are crucial for the prediction of failure in random composites across different scales as well as estimating the inelastic behaviour of it. This can be quantified statistically through second moments of the…

Computational Physics · Physics 2025-09-03 Tarkes Dora Pallicity

Many active materials and biological systems are driven far from equilibrium by embedded agents that spontaneously generate forces and distort the surrounding material. Probing and characterizing these athermal fluctuations is essential for…

Materials Science · Physics 2015-05-18 D. A. Head , D. Mizuno

As in the preceding paper we aim at identifying the effective theory that describes the fluctuations of the local overlap with an equilibrium reference configuration close to a putative thermodynamic glass transition. We focus here on the…

Statistical Mechanics · Physics 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

An improved unified formulation based on the effective field theory is introduced for a spin-1 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

Itinerant ferromagnetism in cold Fermi gases with repulsive interactions is studied applying the Jastrow-Slater approximation generalized to finite polarization and temperature. For two components at zero temperature a second order…

Quantum Gases · Physics 2015-05-20 Henning Heiselberg

Using computer simulations of an atomistic glass-forming liquid, we investigate the fluctuations of the overlap between a fluid configuration and a quenched reference system. We find that large fluctuations of the overlap develop as…

Statistical Mechanics · Physics 2015-05-29 Ludovic Berthier , Robert L. Jack

A dynamic mean-field theory for spin ensembles (spinDMFT) at infinite temperatures on arbitrary lattices is established. The approach is introduced for an isotropic Heisenberg model with $S = \tfrac12$ and external field. For large…

Statistical Mechanics · Physics 2022-02-03 Timo Gräßer , Philip Bleicker , Dag-Björn Hering , Mohsen Yarmohammadi , Götz S. Uhrig

The cluster algorithm in the fully frustrated Ising model on the square lattice is essentially different from the ones used in other systems. Thus its better understanding is particularly important for finding new lines of development.…

Condensed Matter · Physics 2009-10-22 Werner Kerler , Peter Rehberg

We study low--temperature non Gaussian thermal fluctuations of a system of classical particles around a (hypothetical) crystalline ground state. These thermal fluctuations are described by the behaviour of a system of long range interacting…

Condensed Matter · Physics 2007-05-23 Sergio Albeverio , Roman Gielerak , Helge Holden , Torbjørn Kolsrud , Mohammed Mebkhout

We verify the finite time fluctuation theorem for a linear Ising chain at its ends in contact with heat reservoirs. Analytic results are derived for a chain consisting of only two spins. The system can be mapped onto a model for particle…

Statistical Mechanics · Physics 2017-03-15 R. Toral , C. Van den Broeck , D. Escaff , Katja Lindenberg

We proposed a new universal method for significantly increasing accuracy of critical points of 2 and 3-dimensional Ising models and exploring fluctuation mechanism. The method is based on analysis of block fractals and the renormalization…

General Physics · Physics 2010-07-12 You-gang Feng

We introduce a variational implementation of cluster perturbation theory (CPT) to address the dynamics of spin systems driven out of equilibrium. We benchmark the method with the quantum Ising model subject to a sudden quench of the…

Strongly Correlated Electrons · Physics 2016-12-07 Mohammad Zhian Asadzadeh , Michele Fabrizio , Enrico Arrigoni

Per the fluctuation-dissipation theorem, the information obtained from spin fluctuation studies in thermal equilibrium is necessarily constrained by the system's linear response functions. However, by including weak radiofrequency magnetic…

Atomic Physics · Physics 2015-06-22 P. Glasenapp , Luyi Yang , D. Roy , D. G. Rickel , A. Greilich , M. Bayer , N. A. Sinitsyn , S. A. Crooker

We consider the dynamics of classical particles or defects moving in a fluctuating two-dimensional magnetic medium made of Ising spins. These defects occupy empty sites, and each of them can move according to simple rules, by exchanging its…

Statistical Mechanics · Physics 2024-01-23 Jean-Yves P. Fortin

A unified derivation of the off equilibrium fluctuation dissipation relations (FDR) is given for Ising and continous spins to arbitrary order, within the framework of Markovian stochastic dynamics. Knowledge of the FDR allows to develop…

Statistical Mechanics · Physics 2009-06-15 Eugenio Lippiello , Federico Corberi , Alessandro Sarracino , Marco Zannetti

We develop stochastic mixed finite element methods for spatially adaptive simulations of fluid-structure interactions when subject to thermal fluctuations. To account for thermal fluctuations, we introduce a discrete fluctuation-dissipation…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Pat Plunkett , Jon Hu , Chris Siefert , Paul J. Atzberger

The occurrence of mesoscopic fluctuations in statistical systems implies, from the point of view of dynamical theory, the existence of local instabilities. However, the presence of such fluctuations can make a system, as a whole, more…

Statistical Mechanics · Physics 2007-05-23 V. I. Yukalov

The magnetic properties and phase diagrams of the mixed spin Ising model, with spins S=1 and {\sigma}=1/2 on a centered rectangular structure, have been investigated using Monte Carlo simulations based on the Metropolis algorithm. Every…

Statistical Mechanics · Physics 2022-09-21 Maen Gharaibeh , Rama Abu Haifa , Abdalla Obeidat , Mohammad H. A. Badarneh , M. K Qaseer

We find an unexpected phenomenon of coherently synchronized oscillations in a mirror-symmetric many-body localized system. A synchronization transition of the spin oscillations is found by changing the spin-spin interactions. To understand…

Disordered Systems and Neural Networks · Physics 2026-05-25 Zi-Jian Li , Yi-Ting Tu , Sankar Das Sarma