Excess noise for driven diffusive systems.
TL;DR: The steady-state scattering function for driven diffusive systems with a single conserved density is investigated and it is found that d = 2 is the borderline dimension with marginally nondiffusive behavior; for d larger than 2 the spread is diffusive with anisotropic long-time-tail corrections.
read more
Abstract: The steady-state scattering function for driven diffusive systems with a single conserved density is investigated in view of the intrinsically faster, as compared to the predictions of an ordinary diffusion law, spreading of density fluctuations observed in stationary driven diffusive systems at low dimensionality, and, consequently, the divergence of excess noise for small frequencies. It is found that d = 2 is the borderline dimension with marginally nondiffusive behavior; for d larger than 2 the spread is diffusive with anisotropic long-time-tail corrections. The derivations presented are confirmed by Monte Carlo simulation results for a driven hard-core lattice gas.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics
TL;DR: Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical mechanics as mentioned in this paper, which can be unified via an intriguing nonlinear stochastic partial differential equation whose consequences and generalizations have mobilized a sizeable community of physicists concerned with a statistical description of kinetically roughened surfaces.
1.5K
A gallavotti-cohen-type symmetry in the large deviation functional for stochastic dynamics
Joel L. Lebowitz,Herbert Spohn +1 more
TL;DR: In this article, the authors extend the work of Kurchan on the Gallavotti-Cohen fluctuation theorem, which yields a symmetry property of the large deviation function, to general Markov processes.
1.4K
Origins of scale invariance in growth processes
TL;DR: In this paper, a review describes recent progress in the understanding of the emergence of scale invariance in far-from-equilibrium growth, and the two large classes of kinetic roughening processes, characterized by non-conserved (Kardar-Parisi-Zhang) and conserved (ideal molecular beam epitaxy (MBE)) surface relaxation, respectively, are treated separately.
The kardar-parisi-zhang equation and universality class
Ivan Corwin
- 08 Apr 2012
TL;DR: In this article, the authors present a survey of the development of the Kardar-Parisi-Zhang (KPZ) universality class and its application to a wide class of physical and probabilistic models.
885
Nonequilibrium steady states of matrix-product form: a solver's guide
TL;DR: The general problem of determining the steady state of stochastic nonequilibrium systems such as those used to model biological transport and traffic flow is considered, and a unified, pedagogical account of the various means by which the statistical mechanical calculations of macroscopic physical quantities are actually performed is presented.
837
References
Free Energy of a Nonuniform System. I. Interfacial Free Energy
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
10.4K
Theory of Dynamic Critical Phenomena
TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
6.8K
Low-frequency fluctuations in solids: 1/f noise
Pulak Dutta,P. M. Horn +1 more
TL;DR: In this article, the authors deal with selected topics regarding the properties of simple condensed matter systems, especially metals, and find that considerable experimental and conceptual progress has been made, but specific physical processes mostly remain to be identified.
1.8K
Kinetic equations and time correlation functions of critical fluctuations.
Kyozi Kawasaki,Kyozi Kawasaki +1 more
TL;DR: In this paper, the Boltzmann equation of dilute gases was derived with the aid of a generalized Langevin equation due to Mori, which was then used to obtain selfconsistent closed equations to determine time correlation functions of critical fluctuations.
1K