The Kardar–Parisi–Zhang equation and universality class
I Corwin - Random matrices: Theory and applications, 2012 - World Scientific
Brownian motion is a continuum scaling limit for a wide class of random processes, and
there has been great success in developing a theory for its properties (such as distribution …
there has been great success in developing a theory for its properties (such as distribution …
An exactly soluble non-equilibrium system: the asymmetric simple exclusion process
B Derrida - Physics Reports, 1998 - Elsevier
A number of exact results have been obtained recently for the one-dimensional asymmetric
simple exclusion process, a model of particles which hop to their right at random times, on a …
simple exclusion process, a model of particles which hop to their right at random times, on a …
[图书][B] Scaling limits of interacting particle systems
C Kipnis, C Landim - 2013 - books.google.com
The idea of writing up a book on the hydrodynamic behavior of interacting particle systems
was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the …
was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the …
[图书][B] Large scale dynamics of interacting particles
H Spohn - 2012 - books.google.com
This book deals with one of the fundamental problems of nonequilibrium statistical
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …
Exact solution of a 1D asymmetric exclusion model using a matrix formulation
Several recent works have shown that the one-dimensional fully asymmetric exclusion
model, which describes a system of particles hopping in a preferred direction with hard core …
model, which describes a system of particles hopping in a preferred direction with hard core …
[图书][B] Stochastic interacting systems: contact, voter and exclusion processes
TM Liggett - 2013 - books.google.com
Interactive Particle Systems is a branch of Probability Theory with close connections to
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …
Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
B Derrida - Journal of Statistical Mechanics: Theory and …, 2007 - iopscience.iop.org
These lecture notes give a short review of methods such as the matrix ansatz, the additivity
principle or the macroscopic fluctuation theory, developed recently in the theory of non …
principle or the macroscopic fluctuation theory, developed recently in the theory of non …
Nonequilibrium steady states of matrix-product form: a solver's guide
We consider the general problem of determining the steady state of stochastic
nonequilibrium systems such as those that have been used to model (among other things) …
nonequilibrium systems such as those that have been used to model (among other things) …
Exactly solvable models for many-body systems far from equilibrium
GM Schütz - Phase transitions and critical phenomena, 2001 - Elsevier
Many complex systems of interacting particles that one encounters in nature behave on a
phenomenological level in some random fashion. Therefore the theoretical treatment of …
phenomenological level in some random fashion. Therefore the theoretical treatment of …
Statistical mechanics of driven diffusive systems
B Schmittmann, RKP Zia - Phase transitions and critical phenomena, 1995 - Elsevier
Publisher Summary This chapter discusses the systems coupled to two reservoirs of energy
in such a way that there is a steady energy flow through the system. An example is a resistor …
in such a way that there is a steady energy flow through the system. An example is a resistor …