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We compute and analyze couples of ground states of 3D spin glass systems with the same quenched noise but periodic and anti-periodic boundary conditions for different lattice sizes. We discuss the possible different behaviors of the system,…

无序系统与神经网络 · 物理学 2009-10-31 Enzo Marinari , Giorgio Parisi

Different sets of metastable states can be reached in glassy systems below some transition temperature depending on initial conditions and details of the dynamics. This is investigated for the Sherrington-Kirkpatrick spin glass model with…

无序系统与神经网络 · 物理学 2015-03-13 Heinz Horner

The state space of finite square and cubic Ising spin glass models is analysed in terms of the global and the local density of states. Systems with uniform and gaussian probability distribution of interactions are compared. Different…

无序系统与神经网络 · 物理学 2009-10-30 T. Klotz , S. Schubert , K. H. Hoffmann

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

统计力学 · 物理学 2013-04-17 Christopher J. Fullerton , M. A. Moore

The correlation theory of the thermal hydrodynamic fluctuations of liquids with internal spin within a spherical cavity is developed. For the hydrodynamic fields of such a liquid, linearized equations with random thermal sources are used.…

软凝聚态物质 · 物理学 2007-05-23 T. Yu. Tchesskaya , V. Lisy , A. V. Zatovsky

We present a technique to generate relations connecting pure state weights, overlaps, and correlation functions in short-range spin glasses. These are obtained directly from the unperturbed Hamiltonian and hold for general coupling…

无序系统与神经网络 · 物理学 2015-11-04 L. -P. Arguin , C. M. Newman , D. L. Stein

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

软凝聚态物质 · 物理学 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

We derive a microscopic theory of glassy dynamics based on the transport of voids by micro-string motions, each of which involves particles arranged in a line hopping simultaneously displacing one another. Disorder is modeled by a random…

无序系统与神经网络 · 物理学 2018-03-02 Chi-Hang Lam

We study the glass transition in fluids where particles are endowed with spins, such that magnetic and positional degrees of freedom are coupled. Novel results for slowing down in the spin time-correlation functions are described, and the…

软凝聚态物质 · 物理学 2015-06-22 Ricardo Gutierrez , Bhaskar Sen Gupta , Itamar Procaccia

We describe the fluctuations of the overlap between two replicas in the 2-spin spherical SK model about its limiting value in the low temperature phase. We show that the fluctuations are of order $N^{-1/3}$ and are given by a simple,…

概率论 · 数学 2019-05-10 Benjamin Landon , Philippe Sosoe

When liquids are cooled sufficiently rapidly below their melting temperature, they may bypass crystalization and, instead, enter a long-lived metastable supercooled state that has long been the focus of intense research. Although they…

统计力学 · 物理学 2023-12-05 Zohar Nussinov

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…

概率论 · 数学 2024-07-16 Partha S. Dey , Qiang Wu

Local minima also known as inherent structures are expected to play an essential role for the behavior of spin glasses. Here, we propose techniques to efficiently sample these configurations in Monte Carlo simulations. For the…

无序系统与神经网络 · 物理学 2018-05-23 Stefan Schnabel , Wolfhard Janke

The thermal stability of accretion disk and the possibility to see a limit-cycle behaviour strongly depends on the ability of the disk plasma to cool down. Various processes connected with radiation-matter interaction appearing in hot…

高能天体物理现象 · 物理学 2017-08-16 Mikolaj Grzedzielski , Agnieszka Janiuk , Bozena Czerny

We study in d=3 dimensions the short range Ising spin glass with Jij=+/-1 couplings at T=0. We show that the overlap distribution is non-trivial in the limit of large system size.

统计力学 · 物理学 2009-10-31 Guy Hed , Alexander K. Hartmann , Eytan Domany

We report results of molecular dynamics simulations of a binary Lennard-Jones system at zero pressure in the undercooled liquid and glassy states. We first follow the evolution of diffusivity and dynamic heterogeneity with temperature and…

无序系统与神经网络 · 物理学 2007-05-23 H. R. Schober

We provide a strategy to find in few elementary calculations the critical exponents of the overlaps for dilute spin glasses, in absence of external field. Such a strategy is based on the expansion of a suitably perturbed average of the…

统计力学 · 物理学 2007-10-25 Luca De Sanctis , Adriano Barra , Viola Folli

Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study…

统计力学 · 物理学 2015-06-11 Silvio Franz , Mauro Sellitto

The random first order transition theory of the dynamics of supercooled liquids is extended to treat aging phenomena in nonequilibrium structural glasses. A reformulation of the idea of ``entropic droplets'' in terms of libraries of local…

软凝聚态物质 · 物理学 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

Spin glasses occupy a unique place in condensed matter: they freeze collectively while remaining struc-turally disordered, and they exhibit slow, history-dependent dynamics that reflect an exceptionally rug-ged free-energy landscape. This…

无序系统与神经网络 · 物理学 2025-12-25 Naeimeh Tahriri , Vahid Mahdikhah , Jahanfar Abouie , Daryoosh Vashaee