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A characteristic feature of the non--equilibrium dynamics of real spin glasses at low temperatures are strong aging effects. These phenomena can be manipulated by changing the external parameters in various ways: a thermo-cycling experiment…

Condensed Matter · Physics 2009-10-22 Heiko Rieger

A simple and computationally efficient algorithm enables implementing negative temperature values in a spin dynamics simulation. The algorithm uses a Langevin spin dynamics thermostat with a negative damping parameter, enabling the…

Materials Science · Physics 2024-03-05 Pui-Wai Ma , Sergei L. Dudarev

We derive the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics for spherical mixed $p$-spin disordered mean-field models, starting uniformly within one of the spherical bands on which the…

Probability · Mathematics 2020-08-26 Amir Dembo , Eliran Subag

The Ising-Kac model is a variant of the ferromagnetic Ising model in which each spin variable interacts with all spins in a neighbourhood of radius $\gamma^{-1}$ for $\gamma \ll 1$ around its base point. We study the Glauber dynamics for…

Probability · Mathematics 2015-01-30 Jean-Christophe Mourrat , Hendrik Weber

We consider coevolution of site status and link structures from two different initial networks: a one dimensional Ising chain and a scale free network. The dynamics is governed by a preassigned stability parameter $S$, and a rewiring factor…

Physics and Society · Physics 2015-03-17 Kamalika Basu Hajra , Anjan Kumar Chandra

A variance inequality for spin-flip systems is obtained using comparatively weaker knowledge of relaxation to equilibrium based on coupling estimates for single site disturbances. We obtain variance inequalities interpolating between the…

Probability · Mathematics 2014-05-23 Florian Völlering

We consider a spinor condensate of 87Rb atoms in its F=1 hyperfine state at finite temperatures. Putting initially all atoms in m_F=0 component we find that the system evolves into the state of thermal equilibrium. This state is approached…

Other Condensed Matter · Physics 2007-07-31 Krzysztof Gawryluk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

We analyze, on a random graph, a diffusive strategic dynamics with pairwise interactions, where nor Glauber prescription, neither detailed balance hold. We observe numerically that such a dynamics reaches a well defined steady state that…

Disordered Systems and Neural Networks · Physics 2009-05-26 Elena Agliari , Adriano Barra , Raffaella Burioni , Federico Camboni , Pierluigi Contucci

The thermodynamic formalism allows one to access the chaotic properties of equilibrium and out-of-equilibrium systems, by deriving those from a dynamical partition function. The definition that has been given for this partition function…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Cécile Appert-Rolland , Frédéric van Wijland

In this article we study the sharpness of the phase transition for percolation models defined on top of planar spin systems. The two examples that we treat in detail concern the Glauber dynamics for the Ising model and a Dynamic Bootstrap…

Probability · Mathematics 2021-05-28 Caio Alves , Gideon Amir , Rangel Baldasso , Augusto Teixeira

The dynamics of a one-dimensional stochastic system of classical particles consisting of asymmetric death and branching processes is studied. The dynamical activity, defined as the number of configuration changes in a dynamical trajectory,…

Statistical Mechanics · Physics 2015-06-22 Pegah Torkaman , Farhad H. Jafarpour

We present a study, within a mean-field approach, of the kinetics of a mixed ferrimagnetic model on a square lattice in which two interpenetrating square sublattices have spins that can take two values, $\sigma=\pm1/2$, alternated with…

Statistical Mechanics · Physics 2009-03-12 B. Deviren , M. Keskin , O. Canko

We show that quantum computation can be performed in a system at thermal equilibrium if a spontaneous symmetry breaking occurs. The computing process is associated to the time evolution of the statistical average of the qubit coherence…

Statistical Mechanics · Physics 2007-05-23 F. de Pasquale , S. M. Giampaolo

We study the critical behavior of a general class of cubic-symmetric spin systems in which disorder preserves the reflection symmetry $s_a\to -s_a$, $s_b\to s_b$ for $b\not= a$. This includes spin models in the presence of random…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We investigate the relation between the classical ergodicity and the quantum eigenstate thermalization in the fully connected Ising ferromagnets. In the case of spin-1/2, an expectation value of an observable in a single energy eigenstate…

Statistical Mechanics · Physics 2017-07-20 Takashi Mori

We develop a novel approach to phase transitions in quantum spin models based on a relation to their classical counterparts. Explicitly, we show that whenever chessboard estimates can be used to prove a phase transition in the classical…

Mathematical Physics · Physics 2011-11-10 Marek Biskup , Lincoln Chayes , Shannon Starr

We deal with two following classes of equilibrium stochastic dynamics of infinite particle systems in continuum: hopping particles (also called Kawasaki dynamics), i.e., a dynamics where each particle randomly hops over the space, and…

Probability · Mathematics 2007-09-17 E. Lytvynov , P. T. Polara

We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power-law degreedistribution. Application of mean-field theory yields as main prediction that for symmetric disordered…

Statistical Mechanics · Physics 2009-11-11 Claudio Castellano , Romualdo Pastor-Satorras

We present a comparative study of the fate of an Ising ferromagnet on the square lattice with periodic boundary conditions evolving under three different zero-temperature dynamics. The first one is Glauber dynamics, the two other dynamics…

Statistical Mechanics · Physics 2019-07-01 Claude Godrèche , Michel Pleimling

We study low-temperature nucleation in kinetic Ising models by analytical and simulational methods, confirming the general result for the average metastable lifetime, <tau> = A*exp(beta*Gamma) (beta = 1/kT) [E. Jordao Neves and R.H.…

Statistical Mechanics · Physics 2007-05-23 Kyungwha Park , Per Arne Rikvold , Gloria M. Buendia , M. A. Novotny