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 …
Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
GM Schütz - Journal of Physics A: Mathematical and General, 2003 - iopscience.iop.org
Recent work on stochastic interacting particle systems with two particle species (or single-
species systems with kinematic constraints) has demonstrated the existence of spontaneous …
species systems with kinematic constraints) has demonstrated the existence of spontaneous …
[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] 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 …
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 …
Phase diagram of one-dimensional driven lattice gases with open boundaries
AB Kolomeisky, GM Schütz… - Journal of Physics A …, 1998 - iopscience.iop.org
We consider the asymmetric simple exclusion process (ASEP) with open boundaries and
other driven stochastic lattice gases of particles entering, hopping and leaving a one …
other driven stochastic lattice gases of particles entering, hopping and leaving a one …
Exact solution of the master equation for the asymmetric exclusion process
GM Schütz - Journal of statistical physics, 1997 - Springer
Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally
asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit …
asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit …
Stochastic models of interacting systems
TM Liggett - The Annals of Probability, 1997 - projecteuclid.org
Interacting particle systems is by now a mature area of probability theory, but one that is still
very active. We begin this paper by explaining how models from this area arise in fields such …
very active. We begin this paper by explaining how models from this area arise in fields such …
A reverse duality for the ASEP with open boundaries
GM Schütz - Journal of Physics A: Mathematical and Theoretical, 2023 - iopscience.iop.org
We prove a duality between the asymmetric simple exclusion process (ASEP) with non-
conservative open boundary conditions and an asymmetric exclusion process with particle …
conservative open boundary conditions and an asymmetric exclusion process with particle …
Shock profiles for the asymmetric simple exclusion process in one dimension
B Derrida, JL Lebowitz, ER Speer - Journal of statistical physics, 1997 - Springer
The asymmetric simple exclusion process (ASEP) on a one-dimensional lattice is a system
of particles which jump at rates p and 1-p (here p> 1/2) to adjacent empty sites on their right …
of particles which jump at rates p and 1-p (here p> 1/2) to adjacent empty sites on their right …