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We investigate the relationship between a diffusive motion of an interface, heat conduction, and the roughening transition in the three-dimensional Ising model. We numerically compute the thermal conductivity and the diffusion constant and…

Statistical Mechanics · Physics 2019-06-05 Yusuke Masumoto , Shinji Takesue

Computer simulations were used to study the gel transition occurring in colloidal systems with short range attractions. A colloid-polymer mixture was modelled and the results were compared with mode coupling theory expectations and with the…

Soft Condensed Matter · Physics 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We propose a new model to describe diffusion processes within active deformable media. Our general theoretical framework is based on physical and mathematical considerations, and it suggests to use diffusion tensors directly coupled to…

Tissues and Organs · Quantitative Biology 2021-03-03 Christian Cherubini , Simonetta Filippi , Alessio Gizzi , Ricardo Ruiz-Baier

The propagation of excitons in TMD monolayers has been intensively studied revealing interesting many-particle effects, such as halo formation and non-classical diffusion. Initial studies have investigated how exciton transport changes in…

Mesoscale and Nanoscale Physics · Physics 2022-09-09 Willy Knorr , Samuel Brem , Giuseppe Meneghini , Ermin Malic

Collective motion over increasing length scales is a signature of the vitrification process of liquids. We demonstrate the emergence of distinct static and dynamic length scales probed near the free surface in fully equilibrated…

Statistical Mechanics · Physics 2022-11-28 Hailong Peng , Huashan Liu , Thomas Voigtmann

We investigate the jump motion among potential energy minima of a Lennard-Jones model glass former by extensive computer simulation. From the time series of minima energies, it becomes clear that the energy landscape is organized in…

Soft Condensed Matter · Physics 2009-11-07 B. Doliwa , A. Heuer

We show that the observed non-monotonic behavior of the thermal conductance between two nanoparticles when they are brought into contact is originated by an intricate phase space dynamics. Here it is assumed that this dynamics results from…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 Agustin Pérez-Madrid , Luciano C. Lapas , J. Miguel Rubí

According to the Random First Order Transition (RFOT) theory of glasses, the barriers for activated dynamics in supercooled liquids vanish as the temperature of a viscous liquid approaches the dynamical transition temperature from below.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

We report some basic results regarding transport in disordered reaction-diffusion systems with birth (A->2A), death (A->0), and binary competition (2A->A) processes. We consider a model in which the growth process is only allowed to take…

Disordered Systems and Neural Networks · Physics 2008-02-04 Andrew R. Missel , Karin A. Dahmen

The Heat theorem reveals the second law of equilibrium Thermodynamics (i.e.existence of Entropy) as a manifestation of a general property of Hamiltonian Mechanics and of the Ergodic Hypothesis, valid for 1 as well as $10^{23}$ degrees of…

Statistical Mechanics · Physics 2008-02-01 Giovanni Gallavotti

Variable-range hopping conductivity has long been understood in terms of a canonical prescription for relating the single-particle density of states to the temperature-dependent conductivity. Here we demonstrate that this prescription…

Disordered Systems and Neural Networks · Physics 2016-09-01 Tianran Chen , Brian Skinner

The effect of correlated hopping on the charge and heat transport of strongly correlated particles is studied for the Falicov-Kimball model on the Bethe lattice. Exact solutions for the one particle density of states (DOS) and two particle…

Strongly Correlated Electrons · Physics 2017-03-29 D. A. Dobushovskyi , A. M. Shvaika , V. Zlatić

We investigate transport in a disordered reaction-diffusion (RD) model consisting of particles which are allowed to diffuse, compete with one another (2A->A), give birth in small areas called "oases" (A->2A), and die in the "desert" outside…

Disordered Systems and Neural Networks · Physics 2008-08-26 Andrew R. Missel Karin A. Dahmen

We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the…

Disordered Systems and Neural Networks · Physics 2012-08-24 Jeferson J. Arenzon , Mauro Sellitto

The mode-coupling theory of the glass transition predicts the time evolution of the intermediate scattering functions in viscous liquids on the sole basis of the structural information encoded in two-point density correlations. We provide a…

Statistical Mechanics · Physics 2010-10-01 Ludovic Berthier , Gilles Tarjus

We study the relaxation process of two driven colloidal suspensions in diffusive contact to a steady state, similar to thermalization. We start by studying a single suspension, subjecting it to random driving forces via holographic optical…

Soft Condensed Matter · Physics 2025-05-01 Galor Geva , Tamir Admon , Maayan Levin , Yael Roichman

The consistency across scales of a recently developed mathematical thermodynamic structure, between a continuous stochastic nonlinear dynamical system (diffusion process with Langevin or Fokker-Planck equations) and its emergent discrete,…

Statistical Mechanics · Physics 2015-10-28 Moises Santillan , Hong Qian

We consider optimization of the average entropy production in inhomogeneous temperature environments within the framework of stochastic thermodynamics. For systems modeled by Langevin equations (e.g. a colloidal particle in a heat bath) it…

Statistical Mechanics · Physics 2013-03-14 Stefano Bo , Erik Aurell , Ralf Eichhorn , Antonio Celani

We derive the expressions for the transition temperature $(T_{c})$, and the spatial dependence of the superconducting gap for a multilayer high-$T_{c}$ superconductor composed of groups of tightly spaced planes separated by a larger…

Condensed Matter · Physics 2009-10-28 Krzysztof Byczuk , Jozef Spalek

The relaxation phenomena of charge carriers in hopping system have been demonstrated and investigated theoretically. An analytical model describing the charge carrier relaxation is proposed based on the hopping transport theory. The…

Materials Science · Physics 2014-12-16 Nianduan Lu , Ling Li , Pengxiao Suna , Ming Liu
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