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Using Monte Carlo simulations we study cooling-rate effects in a three-dimensional Ising model with four-spin interaction. During coarsening, this model develops growing energy barriers which at low temperature lead to very slow dynamics.…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski , D. Johnston

We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat…

High Energy Physics - Lattice · Physics 2008-11-26 D. Benedetti , R. Loll

We develop a transfer matrix method to compute exactly the spin-spin correlation functions of Bethe lattice spin models in the external magnetic field h and for any temperature T. We first compute the correlation function for the most…

Statistical Mechanics · Physics 2009-10-31 Chin-Kun Hu , N. Sh. Izmailian

The nonequilibrium steady state of an infinite-range Ising model is studied. The steady state is obtained by dividing the spins into two groups and attaching them to two heat baths generating spin flips at different temperatures. In the…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Zoltan Racz , Frederic van Wijland

This work concerns the dynamical two-point spin correlation functions of the transverse Ising quantum chain at finite (non-zero) temperature, in the universal region near the quantum critical point. They are correlation functions of twist…

Mathematical Physics · Physics 2009-11-13 Benjamin Doyon , Adam Gamsa

This paper investigates the transverse Ising model on a discretization of two-dimensional anti-de Sitter space. We use classical and quantum algorithms to simulate real-time evolution and measure out-of-time-ordered correlators (OTOC). The…

Quantum Physics · Physics 2023-12-05 Muhammad Asaduzzaman , Simon Catterall , Yannick Meurice , Goksu Can Toga

Using the Metropolis algorithm, we simulate the relaxation process of the three-dimensional kinetic Ising model. Starting from a random initial configuration, we first present the average equilibration time across the entire phase boundary.…

Statistical Mechanics · Physics 2025-01-27 Xiaobing Li , Ranran Guo , Mingmei Xu , Jinghua Fu , Lizhu Chen , Yu Zhou , Yuanfang Wu

We derive a simple system of equations to describe the magnetization relaxation of a molecular spin in weak interaction with a thermal bath for the whole temperature domain. Using this for the intermediate temperature domain where the…

Materials Science · Physics 2022-12-27 Le Tuan Anh Ho , Liviu Ungur , Liviu F. Chibotaru

We have developed a new method for evaluating the specific heat of lattice spin systems. It is based on the knowledge of high-temperature series expansions, the total entropy of the system and the low-temperature expected behavior of the…

Strongly Correlated Electrons · Physics 2009-10-31 B. Bernu , G. Misguich

Long-range quantum systems, in which the interactions decay as $1/r^{\alpha}$, are of increasing interest due to the variety of experimental set-ups in which they naturally appear. Motivated by this, we study fundamental properties of…

Quantum Physics · Physics 2026-01-08 Jorge Sánchez-Segovia , Jan T. Schneider , Álvaro M. Alhambra

We consider the large-N $\Phi^4$ theory with spontaneously broken symmetry at finite temperature. We study, in the large-N limit, quantum states which are characterized by a time dependent, spatially homogenous expectation value of one of…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Baacke , K. Heitmann

We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we…

Statistical Mechanics · Physics 2023-03-06 Jan Meibohm , Massimiliano Esposito

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

Quantum confinement is studied by numerically solving time-dependent Schr\"odinger equation. An imaginary-time evolution technique is employed in conjunction with the minimization of an expectation value, to reach the global minimum.…

Quantum Physics · Physics 2018-01-31 Amlan K. Roy

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

Quantum Physics · Physics 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara

Understanding how quantum materials return to equilibrium after being driven into excited states is a fundamental problem in condensed matter physics. A prototypical material, 1T-TaS$_2$, exhibits complex electronic textures made up of…

Quantum Physics · Physics 2026-01-01 Jaka Vodeb

In order to estimate qualitatively the influence of nonequilibrium evolution in relativistic heavy ion collisions, we use the three dimensional Ising model with Metropolis algorithm to study the evolution from nonequilibrium to equilibrium…

Statistical Mechanics · Physics 2022-06-10 Xiaobing Li , Mingmei Xu , Yanhua Zhang , Zhiming Li , Yu Zhou , Jinghua Fu , Yuanfang Wu

We study dynamical correlations of two coupled large spins depending on the time and on the spin quantum numbers. In the high-temperature approximation, we obtain analytical expressions for the mutual informations, quantum and classical…

Quantum Physics · Physics 2015-06-12 V. E. Zobov

Experiments and computer simulation studies have revealed existence of rich dynamics in the orientational relaxation of molecules in confined systems such as water in reverse micelles, cyclodextrin cavities and nano-tubes. Here we introduce…

Statistical Mechanics · Physics 2015-05-18 Rajib Biswas , Biman Bagchi
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