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Aging is a ubiquitous relaxation dynamic in disordered materials. It ensues after a rapid quench from an equilibrium "fluid" state into a non-equilibrium, history-dependent jammed state. We propose a physically motivated description that…

Soft Condensed Matter · Physics 2018-08-29 Stefan Boettcher , Dominic M. Robe , Paolo Sibani

The recent description of the cooling through the glass transition in terms of irreversible structural Eshelby rearrangements with a single average fictive temperature is extended to a distribution of fictive temperatures around the average…

Disordered Systems and Neural Networks · Physics 2019-04-30 U. Buchenau

The statistical properties of the local optima (metastable states) of the infinite range Ising spin glass with p-spin interactions in the presence of an external magnetic field h are investigated analytically. The average number of optima…

Condensed Matter · Physics 2009-10-30 Viviane M de Oliveira , J F Fontanari

Stochastic resetting has been a subject of considerable interest within statistical physics, both as means of improving completion times of complex processes such as searches and as a paradigm for generating nonequilibrium stationary…

Statistical Mechanics · Physics 2025-04-09 Martin R. Evans , John C. Sunil

A directly measurable correlation length may be defined for systems having a two-step relaxation, based on the geometric properties of density profile that remains after averaging out the fast motion. We argue that the length diverges if…

Statistical Mechanics · Physics 2015-05-19 Jorge Kurchan , Dov Levine

This thesis develops exact analytical tools to study strongly correlated stochastic systems, with a focus on extreme value statistics, gap statistics, and full counting statistics in multi-particle processes. A central contribution is the…

Statistical Mechanics · Physics 2025-08-19 Marco Biroli

The metastable states of a glass are counted by adding a weak pinning field which explicitly breaks the ergodicity. Their entropy, that is the logarithm of their number, is extensive in a range of temperatures $T_G < T < T_C$ only, where…

Condensed Matter · Physics 2009-10-28 R. Monasson

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

Disordered Systems and Neural Networks · Physics 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama

We present an effective time approach to predict long and short time rheological behavior of soft glassy materials from experiments carried out over practical time scales. Effective time approach takes advantage of relaxation time…

Soft Condensed Matter · Physics 2011-02-22 A. Shahin , Yogesh M Joshi

Truly stable metastable states are an artifact of the mean-field approximation or the zero temperature limit. If such appealing concepts in glass theory as configurational entropy are to have a meaning beyond these approximations, one needs…

Statistical Mechanics · Physics 2016-08-31 Giulio Biroli , Jorge Kurchan

The gauge theory of spin glasses and statistical-mechanical formulation of error-correcting codes are reviewed with an emphasis on their similarities. For the gauge theory, we explain the functional identities on dynamical autocorrelation…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hidetoshi Nishimori

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…

Statistical Mechanics · Physics 2023-12-05 Zohar Nussinov

The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we…

Disordered Systems and Neural Networks · Physics 2015-05-27 Luis Antonio Fernandez , Victor Martin-Mayor

We use confocal microscopy to directly visualize the dynamics of aging colloidal glasses. We prepare a colloidal suspension at high density, a simple model system which shares many properties with other glasses, and initiate experiments by…

Disordered Systems and Neural Networks · Physics 2009-11-07 Rachel E. Courtland , Eric R. Weeks

The non-equilibrium dynamics of a one-dimensional Ising model with uniform, short-ranged three-spin interactions is investigated. It is shown that this model possesses an exponentially large number of metastable configurations that are…

Condensed Matter · Physics 2007-05-23 J. Kisker H. Rieger , M. Schreckenberg

Suppose that a point-like steady source at $x=0$ injects particles into a half-infinite line. The particles diffuse and die. At long times a non-equilibrium steady state sets in, and we assume that it involves many particles. If the…

Statistical Mechanics · Physics 2015-12-07 Baruch Meerson

Physical aging in polymers is a fundamental yet poorly understood phenomenon, as diverse macromolecular systems exhibit remarkably similar slow dynamics. Through molecular dynamics simulations of physically crosslinked networks composed of…

Soft Condensed Matter · Physics 2025-10-16 Patrick Ilg , Clarisse Luap , Martin Kröger

We employ Monte Carlo simulations to study the non-equilibrium relaxation of driven Ising lattice gases in two dimensions. Whereas the temporal scaling of the density auto-correlation function in the non-equilibrium steady state does not…

Statistical Mechanics · Physics 2012-03-14 George L. Daquila , Uwe C. Tauber

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

High Energy Physics - Theory · Physics 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

We study concentrated colloidal suspensions, a model system which has a glass transition. Samples in the glassy state show aging, in that the motion of the colloidal particles slows as the sample ages from an initial state. We study the…

Soft Condensed Matter · Physics 2007-05-23 Gianguido C. Cianci , Rachel E. Courtland , Eric R. Weeks
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