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We consider a spin system obtained by coupling two distinct Sherrington-Kirkpatrick (SK) models with the same temperature and external field whose Hamiltonians are correlated. The disorder chaos conjecture for the SK model states that the…

Probability · Mathematics 2013-10-04 Wei-Kuo Chen

We study the effect of disorder in strongly interacting small atomic chains. Using the Kotliar- Ruckenstein slave-boson approach we diagonalize the Hamiltonian via scattering matrix theory. We numerically solve the Kondo transmission and…

Strongly Correlated Electrons · Physics 2016-02-29 Ricardo Agundez , Joe Salfi , Sven Rogge , Miriam Blaauboer

We study numerically the time evolution of the transport properties of layered superconductors after different preparations. We show that, in accordance with recent experiments in BSCCO performed in the second peak region of the phase…

Superconductivity · Physics 2009-11-07 Raphael Exartier , Leticia F. Cugliandolo

We consider the dynamics of the disordered, one-dimensional, symmetric zero range process in which a particle from an occupied site $k$ hops to its nearest neighbour with a quenched rate $w(k)$. These rates are chosen randomly from the…

Statistical Mechanics · Physics 2009-11-07 Mustansir Barma , Kavita Jain

We perform time series analysis of small networks where every node is the slow-fast version of the denatured Morris--Lecar neuron proposed by Schaeffer and Cain. We choose popular coupling strategies from the literature and provide a…

Chaotic Dynamics · Physics 2025-07-21 Indranil Ghosh , Hammed O. Fatoyinbo , Sishu S. Muni

Slow (logarithmic) relaxation from a highly excited state is studied in a Hamiltonian system with many degrees of freedom. The relaxation time is shown to increase as the exponential of the square root of the energy of excitation, in…

Condensed Matter · Physics 2007-05-23 Naoko Nakagawa , Kunihiko Kaneko

The basic features of the slow relaxation phenomenology arising in phase ordering processes are obtained analytically in the large $N$ model through the exact separation of the order parameter into the sum of thermal and condensation…

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We calculate the real-time-correlation function of the Sherrington-Kirkpatrick spin-glass model in a transverse field. Using a careful analysis of the perturbative expansion of the functional-integral representation, we derive the…

Disordered Systems and Neural Networks · Physics 2008-11-19 Kazutaka Takahashi , Koujin Takeda

Many biological processes, including plant leafout and flowering, occur once cumulative temperatures reach a threshold (the thermal-sum model). In this way, temperatures are thought to coordinate the timing of biological events. But growing…

Applications · Statistics 2026-04-28 Jonathan Auerbach , Andrew Gelman , E. M. Wolkovich

Phase transitions in disordered systems can be smeared if rare spatial regions develop true static order while the bulk system is in the disordered phase. Here, we study the effects of spatial disorder correlations on such smeared phase…

Strongly Correlated Electrons · Physics 2015-06-12 David Nozadze , Christopher Svoboda , Fawaz Hrahsheh , Thomas Vojta

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

Quantum Physics · Physics 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

We discuss the tempering Monte Carlo method, and its critical slowing down in the $3d$ Ising model. We show that at $T_c$ the tempering does not change the critical slowing down exponent $z$. We also discuss the exponential slowing down for…

Condensed Matter · Physics 2009-10-22 L. A. Fernandez , E. Marinari , J. J. Ruiz-Lorenzo

We develop a perturbation theory of quantum (and classical) master equations with slowly varying parameters, applicable to systems which are externally controlled on a time scale much longer than their characteristic relaxation time. We…

Quantum Physics · Physics 2017-08-09 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment. The usual way of bounding the speed of this process is by estimating the spectral gap of the dissipative generator. However the gap,…

Quantum Physics · Physics 2026-01-08 Jan Kochanowski , Alvaro M. Alhambra , Angela Capel , Cambyse Rouzé

We study the phase behavior of single homopolymers in a simple hydrophobic/hydrophilic off-lattice model with sequence independent local interactions. The specific heat is, not unexpectedly, found to exhibit a pronounced peak well below the…

Soft Condensed Matter · Physics 2009-10-31 Anders Irbäck , Erik Sandelin

We show that in a hierarchical clustering model the low-order statistics of the density and the peculiar velocity fields can all be modelled semianalytically for a given cosmology and an initial density perturbation power spectrum $P(k)$.…

Astrophysics · Physics 2015-06-24 H. J. Mo , Y. P. Jing , G. Börner

We investigate the low temperature behavior of a system in a spontaneously broken symmetry phase described by an Euclidean quantum $\lambda\varphi^{4}_{d+1}$ model with quenched disorder. Using a series representation for the averaged…

High Energy Physics - Theory · Physics 2022-12-14 G. O. Heymans , N. F. Svaiter , G. Krein

We report a molecular dynamics (MD) study of the collective dynamics of a simple monatomic liquid -interacting through a two body potential that mimics that of lithium- across the liquid-glass transition. In the glassy phase we find…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Scopigno , G. Ruocco , F. Sette , G. Viliani

The study of quenched random systems is facilitated by the idea that the ensemble averages describe the thermal averages for any specific realization of the couplings, provided the system is large enough. Careful examination suggests that…

Statistical Mechanics · Physics 2018-09-19 Avishay Efrat , Moshe Schwartz

We present molecular dynamics simulations on the slow dynamics of a mixture of big and small soft-spheres with a large size disparity. Dynamics are investigated in a broad range of temperature and mixture composition. As a consequence of…

Soft Condensed Matter · Physics 2009-11-11 Angel J. Moreno , Juan Colmenero