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Related papers: "Glassy" Relaxation in Catalytic Reaction Networks

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Delayed interactions are a common property of coupled natural systems and therefore arise in a variety of different applications. For instance, signals in neural or laser networks propagate at finite speed giving rise to delayed…

Dynamical Systems · Mathematics 2015-06-12 Leonhard Lücken , Jan Philipp Pade , Kolja Knauer , Serhiy Yanchuk

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch

Low-density networks of molecules or colloids are formed at low temperatures when the interparticle interactions are valence limited. Prototypical examples are networks of patchy particles, where the limited valence results from highly…

Soft Condensed Matter · Physics 2018-02-13 C. S. Dias , J. M. Tavares , N. A. M. Araujo , M. M. Telo da Gama

We study thermally activated, low temperature equilibrium dynamics of elastic systems pinned by disorder using one loop functional renormalization group (FRG). Through a series of increasingly complete approximations, we investigate how the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leon Balents , Pierre Le Doussal

We numerically study dynamical properties of the one-component Gaussian Core Model in the supercooled states. We find that nucleation is suppressed as density increases. Concomitantly the system exhibits glassy slow dynamics characterized…

Soft Condensed Matter · Physics 2015-05-19 Atsushi Ikeda , Kunimasa Miyazaki

The rheological behavior of soft glassy materials basically results from the interplay between shearing forces and an intrinsic slow dynamics. This competition can be described by a microscopic theory, which can be viewed as a…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier

Chemical reaction networks in living cells maintain precise control over thousands of metabolites despite operating far from equilibrium under constant perturbations. While mass action kinetics accurately describe the underlying dynamics,…

Optimization and Control · Mathematics 2025-08-27 Steven Diamond

Glassy systems are ubiquitous in nature, and are characterized by slow relaxations to equilibrium without a typical timescale, aging and memory effects. Understanding these is a long-standing problem in physics. We study the aging of the…

Disordered Systems and Neural Networks · Physics 2009-11-30 Ariel Amir , Yuval Oreg , Yoseph Imry

Motivated by recent experiments on the approach to jamming of a weakly forced granular medium using an immersed torsion oscillator [Nature 413 (2001) 407], we propose a simple model which relates the microscopic dynamics to macroscopic…

Statistical Mechanics · Physics 2009-11-07 G. D'Anna , P. Mayor , G. Gremaud , A. Barrat , V. Loreto

We examine nonequilibrium features of collapse behavior in model polymers with competing crystallization and glass transitions using extensive molecular dynamics simulations. By comparing to "colloidal" systems with no covalent bonds but…

Soft Condensed Matter · Physics 2015-03-19 Robert S. Hoy , Corey S. O'Hern

We develop a framework for understanding the difference between strong and fragile behavior in the dynamics of glass-forming liquids from the properties of the potential energy landscape. Our approach is based on a master equation…

Disordered Systems and Neural Networks · Physics 2015-05-30 Sumilan Banerjee , Chandan Dasgupta

Understanding relaxation of supercooled fluids is a major challenge and confining such systems can lead to bewildering behaviour. Here we exploit an optically confined colloidal model system in which we use reduced pressure as a control…

Soft Condensed Matter · Physics 2020-11-10 Ian Williams , Erdal C. Oğuz , Paul Bartlettl , Hartmut Löwen , C. Patrick Royall

We briefly review the basics ideas and results of a recently proposed statistical mechanical approach to granular materials. Using lattice models from standard Statistical Mechanics and results from a mean field replica approach and Monte…

Condensed Matter · Physics 2009-10-31 Antonio Coniglio , Mario Nicodemi

We discuss the relaxation dynamics of a simple lattice gas model for glass-forming systems and show that with increasing density of particles this dynamics slows down very quickly. By monitoring the trajectory of tagged particles we find…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry , Walter Kob

We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such networks by assuming a set of species (called non-interacting…

Probability · Mathematics 2024-02-06 Linard Hoessly , Carsten Wiuf , Panqiu Xia

We analyse the linear response properties of the uniformly heated granular gas. The intensity of the stochastic driving fixes the value of the granular temperature in the non-equilibrium steady state reached by the system. Here, we…

Statistical Mechanics · Physics 2021-09-01 B. Sánchez-Rey , A. Prados

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with…

Statistical Mechanics · Physics 2009-11-13 Vlad Elgart , Michel Pleimling

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

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

The relaxation dynamics and thermodynamic properties of supercooled and glassy gambogic acid are investigated using both theory and experiment. We measure the temperature dependence of the relaxation times in three polymorphs (alpha-,…

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