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In this paper, we review the general features of the out-of-equilibrium dynamics of spin glasses. We use this example as a guideline for a brief description of glassy dynamics in other disordered systems like structural and polymer glasses,…

无序系统与神经网络 · 物理学 2009-11-03 Eric Vincent

We develop a diagrammatic approach for calculating the high temperature expansion of dynamic correlation functions, such as the electron Green's function and the time-dependent density-density and spin-spin correlation functions, for the…

强关联电子 · 物理学 2013-10-15 Edward Perepelitsky

Models of many-species ecosystems, such as the Lotka-Volterra and replicator equations, suggest that these systems generically exhibit near-extinction processes, where population sizes go very close to zero for some time before rebounding,…

统计力学 · 物理学 2023-03-15 Thibaut Arnoulx de Pirey , Guy Bunin

We study the finite-size behavior of two-dimensional spin-glass models. We consider the +-J model for two different values of the probability of the antiferromagnetic bonds and the model with Gaussian distributed couplings. The analysis of…

无序系统与神经网络 · 物理学 2015-03-19 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We study the non-equilibrium time evolution of the classical XY spin model in two dimensions. The two-time autocorrelation and linear response functions are considered for systems initially prepared in a high temperature state and in a…

统计力学 · 物理学 2009-11-10 Stephane Abriet , Dragi Karevski

Sources in higher representations of SU(N) gauge theory at T=0 couple with apparently stable strings with tensions depending on the specific representation rather than on its N-ality. Similarly at the deconfining temperature these sources…

高能物理 - 理论 · 物理学 2009-11-11 Ferdinando Gliozzi

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

We study the dynamic fluctuations of the soft-spin version of the Edwards-Anderson model in the critical region for $T\rightarrow T_{c}^{+}$. First we solve the infinite-range limit of the model using the random matrix method. We define the…

凝聚态物理 · 物理学 2009-10-28 Paola Ranieri

We solve for the time-dependent finite-size scaling functions of the 1D transverse-field Ising chain during a linear-in-time ramp of the field through the quantum critical point. We then simulate Mott-insulating bosons in a tilted…

统计力学 · 物理学 2012-07-10 Michael Kolodrubetz , Bryan K. Clark , David A. Huse

The time-dependent scaling of the thermoremanent and zero-field-cooled susceptiblities in ferromagnetic spin systems undergoing ageing after a quench to a temperature at or below criticality is studied. A recent debate on their…

统计力学 · 物理学 2007-05-23 Malte Henkel , Matthias Paessens , Michel Pleimling

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

统计力学 · 物理学 2015-06-05 Hyunhang Park , Michel Pleimling

The autocorrelation functions for the force on a particle, the velocity of a particle, and the transverse momentum flux are studied for the power law potential $v(r)=\epsilon (\sigma /r)^{\nu}$ (soft spheres). The latter two correlation…

统计力学 · 物理学 2009-11-10 James W. Dufty , Matthieu H. Ernst

We study the O(N) linear sigma model in 1+1 dimensions. We use the 2PI formalism of Cornwall, Jackiw and Tomboulis in order to evaluate the effective potential at finite temperature. At next-to-leading order in a 1/N expansion one has to…

高能物理 - 唯象学 · 物理学 2016-09-06 Jurgen Baacke , Stefan Michalski

The study of the low temperature phase of spin glass models by means of Monte Carlo simulations is a challenging task, because of the very slow dynamics and the severe finite size effects they show. By exploiting at the best the…

无序系统与神经网络 · 物理学 2014-04-02 Lucas Nicolao , Giorgio Parisi , Federico Ricci-Tersenghi

The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that one of them disappears with probability 1 if two particles…

统计力学 · 物理学 2016-02-23 Xavier Durang , Jean-Yves Fortin , Malte Henkel

The thermodynamic limit of the dynamical density and spin-density two-point correlation functions for the spin Calogero-Sutherland model are derived from Uglov's finite-size results. The resultant formula for the density two-point…

强关联电子 · 物理学 2008-11-26 Takashi Yamamoto , Mitsuhiro Arikawa

We investigate the non-equilibrium properties of an N-component scalar field theory. The time evolution of the correlation functions for an arbitrary ensemble of initial conditions is described by an exact functional differential equation.…

高能物理 - 唯象学 · 物理学 2016-09-06 Luis M. A. Bettencourt , Christof Wetterich

Nonperturbative dynamics of quantum fields out of equilibrium is often described by the time evolution of a hierarchy of correlation functions, using approximation methods such as Hartree, large N, and nPI-effective action techniques. These…

高能物理 - 唯象学 · 物理学 2008-11-26 Gert Aarts , Gian Franco Bonini , Christof Wetterich

We propose an easily implemented approach to study time-dependent correlation functions of one dimensional systems at finite temperature T using the density matrix renormalization group. The entanglement growth inherent to any…

强关联电子 · 物理学 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

The statistical properties of the increments x(t+T) - x(t) of a financial time series depend on the time resolution T on which the increments are considered. A non-parametric approach is used to study the scale dependence of the empirical…

统计力学 · 物理学 2008-12-02 Rama Cont