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We propose a novel one-dimensional simple model without disorder exhibiting slow dynamics and aging at the zero temperature limit. This slow dynamics is due to entropic barriers. We exactly solve the statics of the model. We derive an…

Statistical Mechanics · Physics 2009-11-10 V. Desoutter , N. Destainville

We consider the influence of quenched disorder on the relaxational critical dynamics of a system characterized by a non-conserved order parameter coupled to the diffusive dynamics of a conserved scalar density (model C). Disorder leads to…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

Adding transitions to an equilibrium system increases the activity. Naively, one would expect this to hold also in out of equilibrium systems. This surprising effect is caused by adding heretofore forbidden transitions into less and less…

Statistical Mechanics · Physics 2021-01-01 Eial Teomy , Yair Shokef

Long-range interacting Hamiltonian systems are believed to relax generically towards non-equilibrium states called "quasi-stationary" because they evolve towards thermodynamic equilibrium very slowly, on a time-scale diverging with particle…

Statistical Mechanics · Physics 2017-07-18 Michael Joyce , Jules Morand , Pascal Viot

Recent theoretical studies of statistical mechanical properties of systems with long range interactions are briefly reviewed. In these systems the interaction potential decays with a rate slower than 1/r^d at large distances r in d…

Statistical Mechanics · Physics 2009-11-13 David Mukamel

We observe non-monotonic aging and memory effects, two hallmarks of glassy dynamics, in two disordered mechanical systems: crumpled thin sheets and elastic foams. Under fixed compression, both systems exhibit monotonic non-exponential…

Soft Condensed Matter · Physics 2017-04-14 Yoav Lahini , Omer Gottesman , Ariel Amir , Shmuel M. Rubinstein

The slow dynamics of a system as it approaches a phase transition, associated with the slowing down in the decay of a correlation function, can be caused by a sharp increase in the probability of a particle's returning to its original state…

Other Condensed Matter · Physics 2007-05-23 V. Halpern

Stochastic processes are commonly used models to describe dynamics of a wide variety of nonequilibrium phenomena ranging from electrical transport to biological motion. The transition matrix describing a stochastic process can be regarded…

Statistical Mechanics · Physics 2024-02-02 Taro Sawada , Kazuki Sone , Ryusuke Hamazaki , Yuto Ashida , Takahiro Sagawa

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

Disordered Systems and Neural Networks · Physics 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

Relaxation dynamics in reversible catalytic reaction networks is studied, revealing two salient behaviors that are reminiscent of glassy behavior: slow relaxation with log(time) dependence of the correlation function, and emergence of a few…

Disordered Systems and Neural Networks · Physics 2015-05-13 Akinori Awazu , Kunihiko Kaneko

In this paper the investigation of the dynamical processes of liquid alkali metals is executed by analyzing the time scales of relaxation processes in liquids. The obtained theoretical dynamic structure factor $S(k,\omega)$ for the case of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Anatolii V. Mokshin , Renat M. Yulmetyev , Peter Hänggi

Particle-based simulations are performed to study the post-relaxation dynamics of functionalized (patchy) colloids adsorbed on an attractive substrate. Kinetically arrested structures that depend on the number of adsorbed particles and the…

Soft Condensed Matter · Physics 2015-09-02 C. S. Dias , C. Braga , N. A. M. Araujo , M. M. Telo da Gama

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler

We present a theoretical discussion of the reversible parking problem, which appears to be one of the simplest systems exhibiting glassy behavior. The existence of slow relaxation, nontrivial fluctuations, and an annealing effect can all be…

Statistical Mechanics · Physics 2009-10-31 Amy J. Kolan , Edmund R. Nowak , Alexei V. Tkachenko

We use computer simulations to study the dynamics of a physical gel at high densities where gelation and the glass transition interfere. We report and provide detailed physical understanding of complex relaxation patterns for time…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Pablo I. Hurtado , Walter Kob

Relaxation processes significantly influence the properties of glass materials. However, understanding their specific origins is difficult, even more challenging is to forecast them theoretically. In this study, using microseconds molecular…

Materials Science · Physics 2019-09-09 Yang Sun , Si-Xu Peng , Qun Yang , Feng Zhang , Meng-Hao Yang , Cai-Zhuang Wang , Kai-Ming Ho , Hai-Bin Yu

This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems. A…

chao-dyn · Physics 2007-05-23 N. Berglund , H. Kunz

Many systems in the realm of nanophysics from both the living and inorganic world display slow relaxation kinetics of energy fluctuations. In this paper we propose a general explanation for such phenomenon, based on the effects of…

Statistical Mechanics · Physics 2007-05-23 Francesco Piazza , Paolo De Los Rios , Yves-Henri Sanejouand

We investigate theoretically the slow non-exponential relaxation dynamics of the electron glass out of equilibrium, where a sudden change in carrier density reveals interesting memory effects. The self-consistent model of the dynamics of…

Disordered Systems and Neural Networks · Physics 2015-06-16 Yasmine Meroz , Yuval Oreg , Yoseph Imry

We establish pointwise bounds for the Green function and consequent linearized stability for multidimensional planar relaxation shocks of general relaxation systems whose equilibrium model is scalar, under the necessary assumption of…

Analysis of PDEs · Mathematics 2008-09-25 Bongsuk Kwon , Kevin Zumbrun
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