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Using discrete element simulations based on molecular dynamics, we investigate the mechanical behavior of sheared, dry, frictional granular media in the "dense" and "critical" regimes. We find that this behavior is partitioned between…

Soft Condensed Matter · Physics 2025-02-25 Aurélien Rigotti , Véronique Dansereau , Jérôme Weiss

Disorder in spin-orbit (SO) coupling is an important feature of real low-dimensional electron structures. We study spin relaxation due to such a disorder as well as resulting abilities of spin manipulation. The spin relaxation reveals…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 V. K. Dugaev , E. Ya. Sherman , V. I. Ivanov , J. Barnas

Within a recently developed framework of dynamical Monte Carlo algorithms, we compute the roughness exponent $\zeta$ of driven elastic strings at the depinning threshold in 1+1 dimensions for different functional forms of the (short-range)…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alberto Rosso , Werner Krauth

We investigate the non-equilibrium dynamics of a class of isolated one-dimensional systems possessing two degenerate ground states, initialized in a low-energy symmetric phase. We report the emergence of a time-scale separation between fast…

Statistical Mechanics · Physics 2020-04-01 Alvise Bastianello , Alessio Chiocchetta , Leticia F. Cugliandolo , Andrea Gambassi

We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance. The main goal is to establish conditions for…

Analysis of PDEs · Mathematics 2007-05-23 M. I. Caiado , A. V. Sarychev

We present results on dynamical processes that exhibit a stretched exponential relaxation. When the relaxation is a result of two competing exponential processes, the size of the system, although macroscopic, play a dominant role. There…

Statistical Mechanics · Physics 2009-10-31 Shlomo Havlin , Armin Bunde , Joseph Klafter

Understanding the timescales associated with relaxation to equilibrium in closed quantum many-body systems is one of the central focuses in the study of their non-equilibrium dynamics. At late times, these relaxation processes exhibit…

Statistical Mechanics · Physics 2026-01-19 Kadir Çeven , Lukas Peinemann , Fabian Heidrich-Meisner

Vortex lines in type-II superconductors display complicated relaxation processes due to the intricate competition between their mutual repulsive interactions and pinning to attractive point or extended defects. We perform extensive Monte…

Statistical Mechanics · Physics 2015-09-10 Michel Pleimling , Uwe C. Tauber

We have investigated the mean field dynamics of an overdamped viscoelastic medium driven through quenched disorder. The model introduced incorporates coexistence of pinned and sliding degrees of freedom and can exhibit continuous elastic…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Cristina Marchetti , A. Alan Middleton , Thomas Prellberg

We introduce a two-state non-conserving driven-diffusive system in one-dimension under a discrete-time updating scheme. We show that the steady-state of the system can be obtained using a matrix product approach. On the other hand, the…

Statistical Mechanics · Physics 2014-03-07 S. R. Masharian , F. H. Jafarpour , A. Aghamohammadi

If one folds a thin viscoelastic sheet under an applied force, a line of plastic deformation is formed which shapes the sheet into an angle. We determine the parameters that define this angle experimentally and show that, no matter how much…

Soft Condensed Matter · Physics 2020-01-22 Kasra Farain

Relaxation processes of dislocation systems are studied by two-dimensional dynamical simulations. In order to capture generic features, three physically different scenarios were studied and power-law decays found for various physical…

Superconducting cosmic strings can exhibit longitudinal, pinching instabilities in some regions of the parameter space. We make predictions about the onset of this instability using the thin string approximation (TSA) and develop an…

High Energy Physics - Phenomenology · Physics 2023-03-29 R. A. Battye , S. J. Cotterill

We study the effect of quenched random field disorder on a driven elastic interface close to the depinning transition at the upper critical dimension d_{c}=4 using the functional renormalization group. We have found that the displacement…

Disordered Systems and Neural Networks · Physics 2009-11-07 Andrei A. Fedorenko , Semjon Stepanow

We study numerically the depinning transition of driven elastic interfaces in a random-periodic medium with localized periodic-correlation peaks in the direction of motion. The analysis of the moving interface geometry reveals the existence…

Disordered Systems and Neural Networks · Physics 2010-10-20 S. Bustingorry , A. B. Kolton , T. Giamarchi

We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial state there is no magnetic order but the…

Statistical Mechanics · Physics 2015-06-25 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

Dynamic relaxation of the XY model and fully frustrated XY model quenched from an initial ordered state to the critical temperature or below is investigated with Monte Carlo methods. Universal power law scaling behaviour is observed. The…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , B. Zheng

We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities…

Statistical Mechanics · Physics 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

The stochastic thermodynamics of systems with a few degrees of freedom has been studied extensively so far. We would like to extend the study to systems with more degrees of freedom and even further-continuous fields with infinite degrees…

Statistical Mechanics · Physics 2023-06-21 Yu-Xin Wu , Jin-Fu Chen , Ji-Hui Pei , Fan Zhang , H. T. Quan

Spin relaxation in a strong-coupling regime (with respect to the spin system) is investigated in detail based on the spin-boson model in a stochastic limit. We find a bifurcation phenomenon in temperature dependence of relaxation constants,…

Quantum Physics · Physics 2009-11-07 Gen Kimura , Kazuya Yuasa , Kentaro Imafuku