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In a $p$-spin interaction spherical spin-glass model both the spins and the couplings are allowed to change in the course of time. The spins are coupled to a heat bath with temperature $T$, while the coupling constants are coupled to a bath…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen , D. B. Saakian

The time evolution of a spin-1/2 particle under the influence of a locally applied external magnetic field, and interacting with anisotropic spin environment in thermal equilibrium at temperature $T$ is studied. The exact analytical form of…

Quantum Physics · Physics 2011-10-19 Y. Hamdouni , F. Petruccione

The double dimer model is defined as the superposition of two independent uniformly distributed dimer covers of a graph. Its configurations can be viewed as disjoint collections of self-avoiding loops. Our first result is that in…

Mathematical Physics · Physics 2023-07-18 Alexandra Quitmann , Lorenzo Taggi

The evolution of high-dimensional phenotypes is investigated using a statistical physics model consists of interacting spins, in which genotypes, phenotypes, and environments are represented by spin configurations, interaction matrices, and…

Biological Physics · Physics 2020-06-24 Ayaka Sakata , Kunihiko Kaneko

We report a very detailed relation about the study, by a constrained Monte Carlo dynamic, of a 4D EA spin glass model (J=+/- 1). In particular we concentrate our attention on the behaviour of the system under different bounds imposed in…

Disordered Systems and Neural Networks · Physics 2009-09-25 Angelo Cacciuto

The dynamical spin susceptibility is studied in the magnetically-disordered phase of heavy-Fermion systems near the antiferromagnetic quantum phase transition. In the framework of the $S=1/2$ Kondo lattice model, we introduce a perturbative…

Strongly Correlated Electrons · Physics 2009-10-31 C. Pepin , M. Lavagna

The East model is a one-dimensional, non-attractive interacting particle system with Glauber dynamics, in which a flip is prohibited at a site $x$ if the right neighbour $x+1$ is occupied. Starting from a configuration entirely occupied on…

Probability · Mathematics 2014-11-21 Oriane Blondel

We study the glass formation in two- and three-dimensional Ising and Heisenberg spin systems subject to competing interactions and uniaxial anisotropy with a mean-field approach. In three dimensions, for sufficiently strong anisotropy the…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 Alessandro Principi , Mikhail I. Katsnelson

Three properties of the Edwards-Anderson model with mobile bonds are investigated which are characteristic of kinetic glasses. First is two-time relaxation in aged systems, where a significant difference is observed between spin and bond…

Disordered Systems and Neural Networks · Physics 2007-05-23 D. Capeta , D. K. Sunko

A spin dynamics approach has been used to study the behavior of the magnetic spins and the electric pseudo-spins in a 1-D composite multiferroic chain with a linear magneto-electric coupling at the interface. The response is investigated…

Mesoscale and Nanoscale Physics · Physics 2015-10-01 Zidong Wang , Malcolm J. Grimson

We study the stroboscopic dynamics of a spin-$S$ object subjected to $\delta$-function kicking in the transverse magnetic field which is generated following the Fibonacci sequence. The corresponding classical Hamiltonian map is constructed…

Statistical Mechanics · Physics 2019-11-27 Sayak Ray , Subhasis Sinha , Diptiman Sen

Using a nonequilibrium renormalization group method we study the real-time evolution of spin and current in the anisotropic Kondo model (both antiferromagnetic and ferromagnetic) at finite magnetic field $h_0$ and bias voltage $V$. We…

Strongly Correlated Electrons · Physics 2013-01-11 Mikhail Pletyukhov , Dirk Schuricht , Herbert Schoeller

We numerically study finite-dimensional spin glasses at low and zero temperature, finding evidences for (i) strong time/space heterogeneities, (ii) spontaneous time scale separation and (iii) power law distributions of flipping times. Using…

Statistical Mechanics · Physics 2009-10-31 Federico Ricci-Tersenghi , Riccardo Zecchina

We consider spin-flip dynamics of configurations in $\{-1,1\}^{\mathbb{Z}^d}$, and study the time evolution of concentration inequalities. For "weakly interacting" dynamics we show that the Gaussian concentration bound is conserved in the…

Probability · Mathematics 2021-07-14 J. -R. Chazottes , P. Collet , F. Redig

Results from Monte Carlo simulations of the two-dimensional gauge glass supporting a zero-temperature transition are presented. A finite-size scaling analysis of the correlation length shows that the system does not exhibit spin-glass order…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber

The real-time dynamics of a classical spin in an external magnetic field and locally exchange coupled to an extended one-dimensional system of non-interacting conduction electrons is studied numerically. Retardation effects in the coupled…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Mohammad Sayad , Michael Potthoff

In this article, we consider the evolutionary model for magnetoelasticity with vanishing viscosity/damping, which is a nonlinear dispersive system. The global regularity and scattering of the evolutionary model for magnetoelasticity under…

Analysis of PDEs · Mathematics 2024-02-27 Xiaonan Hao , Jiaxi Huang , Ning Jiang , Lifeng Zhao

We propose a semiclassical framework for solving open quantum dynamics in driven-dissipative spin systems. Our method consists of generalized spin-wave approximations tailored to describing quantum trajectories unravelled from the master…

Quantum Physics · Physics 2026-04-24 Zejian Li , Anna Delmonte , Rosario Fazio

We investigate a specific limit of the one-dimensional non-Hermitian Hubbard Hamiltonian with complex interactions. In this framework, fermions with different spin quantum numbers are mapped onto two distinct spin species, resulting in two…

Statistical Mechanics · Physics 2024-12-30 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

We study the dynamics of a quench-prepared domain wall state released into a system whose unitary time evolution is dictated by the Hamiltonian of the Heisenberg spin-1/2 gapped antiferromagnetic chain. Using exact wavefunctions and their…

Strongly Correlated Electrons · Physics 2010-06-01 Jorn Mossel , Jean-Sébastien Caux