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We present a mean-field theory of a coarse-grained model of a super-cooled liquid in which relaxation occurs via local plastic rearrangements. Local relaxation can be induced by thermal fluctuations or by the long-range elastic consequences…

Soft Condensed Matter · Physics 2023-12-07 Joseph W. Baron , Giulio Biroli

We investigate numerically the relaxation dynamics of an elastic string in two-dimensional random media by thermal fluctuations starting from a flat configuration. Measuring spatial fluctuations of its mean position, we find that the…

Statistical Mechanics · Physics 2015-05-14 Jae Dong Noh , Hyunggyu Park

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…

Statistical Mechanics · Physics 2015-06-05 Hyunhang Park , Michel Pleimling

By means of Monte Carlo simulations on the three-dimensional Ising spin-glass model, we have studied aging phenomena with various temperature($T$)-change protocols. Particularly, a $T$-shift protocol, in which a system is first quenched to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

For several atomistic models of glass formers, at conditions below their glassy dynamics onset temperatures, ${T_\mathrm{o}}$, we use importance sampling of trajectory space to study the structure, statistics and dynamics of excitations…

Statistical Mechanics · Physics 2014-05-08 Aaron S. Keys , Lester O. Hedges , Juan P. Garrahan , Sharon C. Glotzer , David Chandler

From the analysis of the relaxation process of isolated lattice many-body quantum systems quenched far from equilibrium, we deduce a criterion for predicting when they are certain to thermalize. It is based on the algebraic behavior…

Statistical Mechanics · Physics 2017-01-27 Marco Távora , E. J. Torres-Herrera , Lea F. Santos

We present results for the nonequilibrium dynamics of collapse for a model flexible homopolymer on simple cubic lattices with fixed and fluctuating bonds between the monomers. Results from our Monte Carlo simulations show that,…

Soft Condensed Matter · Physics 2017-10-11 Henrik Christiansen , Suman Majumder , Wolfhard Janke

The growth of ballistic aggregates on deterministic fractal substrates is studied by means of numerical simulations. First, we attempt the description of the evolving interface of the aggregates by applying the well-established…

Statistical Mechanics · Physics 2009-11-13 Claudio M. Horowitz , Federico Roma , Ezequiel V. Albano

The correlation properties of the nonaffine elastic response in strongly disordered materials are investigated using the theory of correlated random matrices and supported by numerical models. While the nonaffine displacement field itself…

Disordered Systems and Neural Networks · Physics 2026-04-09 D. A. Conyuh , D. V. Babin , I. O. Raikov , Y. M. Beltukov

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

History-dependence and ageing are studied in the low-temperature glass phase of a long-range periodic Josephson array. This model is characterized by two parameters, the number of wires ($2N$) and the flux per unit strip ($\alpha$); in the…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. Chandra , M. V. Feigelman , L. B. Ioffe , D. M. Kagan

We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

It is known that in systems which contain randomness explicitly in their Hamiltonians (e.g., due to impurities), the characteristic size L of the ordered domains can grow only logarithmically with time t following a quench below the…

Condensed Matter · Physics 2009-10-22 Joel D. Shore , Mark Holzer , James P. Sethna

We performed molecular dynamics simulations to study relaxation phenomena during vapor-liquid transitions in a single component Lennard-Jones system. Results from two different overall densities are presented; one in the neighborhood of the…

Statistical Mechanics · Physics 2019-06-04 Sutapa Roy , Arabinda Bera , Suman Majumder , Subir K. Das

The growth of correlation lengths in equilibrium glass-forming liquids near the glass transition is considered a critical finding in the quest to understand the physics of glass formation. These understandings helped us understand various…

Soft Condensed Matter · Physics 2023-08-16 Anoop Mutneja , Smarajit Karmakar

We construct the equations for the growth kinetics of an aging structural glass within mode-coupling theory through a non-stationary variant of the 3-density correlator defined in Phys. Rev. Lett. {\bf 97}, 195701 (2006). We solve a…

Soft Condensed Matter · Physics 2021-08-24 Saroj Kumar Nandi , Sriram Ramaswamy

We simulate a growth model with restricted surface relaxation process in d=1 and d=2, where d is the dimensionality of a flat substrate. In this model, each particle can relax on the surface to a local minimum, as the Edwards-Wilkinson…

Statistical Mechanics · Physics 2009-11-07 T. J. da Silva , J. G. Moreira

Using Monte Carlo simulations, we have studied isothermal aging of three-dimensional Ising spin-glass model focusing on quasi-equilibrium behavior of the spin auto-correlation function. Weak violation of the time translational invariance in…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

We study the effects of rapid temperature and magnetic field changes on the non-equilibrium relaxation dynamics of magnetic vortex lines in disordered type-II superconductors by employing an elastic line model and performing Langevin…

Statistical Mechanics · Physics 2015-11-25 Hiba Assi , Harshwardhan Chaturvedi , Ulrich Dobramysl , Michel Pleimling , Uwe C. Tauber

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