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相关论文: Model glasses coupled to two different heat baths

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We have considered the two-spin interaction spherical spin-glass model with asymmetric bonds (coupling constants). Besides the usual interactions between spins and bonds and between the spins and a thermostat with temperature $T_{\sigma}$…

无序系统与神经网络 · 物理学 2009-10-31 A. E. Allahverdyan , D. B. Saakian

We revisit the long time dynamics of the spherical fully connected $p = 2$-spin glass model when the number of spins $N$ is large but {\it finite}. At $T=0$ where the system is in a (trivial) spin-glass phase, and on long time scale $t…

无序系统与神经网络 · 物理学 2016-01-08 Yan V. Fyodorov , Anthony Perret , Gregory Schehr

We study a quantum extension of the spherical $p$-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the…

无序系统与神经网络 · 物理学 2009-10-31 Leticia F Cugliandolo , D. R. Grempel , Constantino A da Silva Santos

We present a detailed analysis for the Langevin dynamics of a spherical spin-glass model (the spherical Sherrington-Kirkpatrick model). All the spins in the system are coupled by pairs via a random interaction matrix taken from the Gaussian…

凝聚态物理 · 物理学 2016-08-31 Leticia F. Cugliandolo , David S. Dean

We analyze the properties of the energy landscape of {\it finite-size} fully connected $p$-spin-like models. In the thermodynamic limit the high temperature phase is described by the schematic Mode Coupling Theory of super-cooled liquids.…

统计力学 · 物理学 2009-10-31 A. Crisanti , F. Ritort

We study the Hopfield model with pure $p$-spin interactions with even $p\geq 4$, and a number of patterns, M(N) growing with the system size, $N$, as $M(N) = \a N^{p-1}$. We prove the existence of a critical temperature $\b_p$ characterized…

无序系统与神经网络 · 物理学 2007-05-23 Anton Bovier , Beat Niederhauser

Binary mixtures of large and small particles with disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the $p$-spin…

无序系统与神经网络 · 物理学 2016-08-03 Harukuni Ikeda , Atsushi Ikeda

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

统计力学 · 物理学 2009-10-30 M. E. J. Newman , Cristopher Moore

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

统计力学 · 物理学 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

A kinetic one-dimensional Ising model is coupled to two heat baths, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($% T_{o}$). Spin flips occur with Glauber-type rates generalised to the case of two…

统计力学 · 物理学 2009-11-07 F. Schmüser , B. Schmittmann

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

凝聚态物理 · 物理学 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort

Our goal in this work is to better understand the relationship between replica symmetry breaking, shattering, and metastability. To this end, we study the static and dynamic behaviour of spherical pure $p$-spin glasses above the replica…

概率论 · 数学 2021-04-20 Gérard Ben Arous , Aukosh Jagannath

We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By…

无序系统与神经网络 · 物理学 2010-02-18 Derek Larson , Helmut G. Katzgraber , M. A. Moore , A. P. Young

A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the…

凝聚态物理 · 物理学 2009-11-07 I. S. Queiroz , F. A. da Costa , F. D. Nobre

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

无序系统与神经网络 · 物理学 2009-10-30 Th. M. Nieuwenhuizen

This lecture deals with glassy dynamics and aging in disordered systems. Special emphasis is put on dynamic mean field theory. In the first part I present some of the systems of interest, in particular spin-glasses, supercooled liquids and…

无序系统与神经网络 · 物理学 2007-05-23 Heinz Horner

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

无序系统与神经网络 · 物理学 2016-02-17 Matthew Wittmann , A. P. Young

We derive the coupled non-linear integro-differential equations for the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics at temperature $T$, for spherical mixed $p$-spin disordered mean-field…

概率论 · 数学 2025-04-15 Amir Dembo , Eliran Subag

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…

凝聚态物理 · 物理学 2009-10-22 Heiko Rieger

In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the…

无序系统与神经网络 · 物理学 2012-07-09 YiFan Sun , Andrea Crisanti , Florent Krzakala , Luca Leuzzi , Lenka Zdeborová
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