87 citations · 244 across the 7 of their papers we have counts for
10 papers · 1 filter
A record-driven growth process
C. Godreche, J. M. Luck
We introduce a novel stochastic growth process, the record-driven growth process, which originates from the analysis of a class of growing networks in a universal limiting regime.…
Structure of the stationary state of the asymmetric target process
J. M. Luck, C. Godreche
We introduce a novel migration process, the target process. This process is dual to the zero-range process (ZRP) in the sense that, while for the ZRP the rate of transfer of a part…
Tagged Particle Correlations in the Asymmetric Simple Exclusion Process: Finite Size Effects
Shamik Gupta, Satya N. Majumdar, Claude Godrèche +1
We study finite size effects in the variance of the displacement of a tagged particle in the stationary state of the Asymmetric Simple Exclusion Process (ASEP) on a ring of size $L…
Nonequilibrium stationary states with Gibbs measure for two or three species of interacting particles
J. M. Luck, C. Godreche
We construct explicit examples of one-dimensional driven diffusive systems for two and three species of interacting particles, defined by asymmetric dynamical rules which do not ob…
Dynamics of the condensate in zero-range processes
C. Godreche, J. M. Luck
For stochastic processes leading to condensation, the condensate, once it is formed, performs an ergodic stationary-state motion over the system. We analyse this motion, and especi…
Metastability in zero-temperature dynamics: Statistics of attractors
C. Godreche, J. M. Luck
The zero-temperature dynamics of simple models such as Ising ferromagnets provides, as an alternative to the mean-field situation, interesting examples of dynamical systems with ma…