87 citations · 211 across the 13 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.…
Statistics of quantum transmission in one dimension with broad disorder
D. Boose, J. M. Luck
We study the statistics of quantum transmission through a one-dimensional disordered system modelled by a sequence of independent scattering units. Each unit is characterized by it…
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…
Dynamical diversity and metastability in a hindered granular column near jamming
J. M. Luck, Anita Mehta
Granular media jam into a panoply of metastable states. The way in which these states are achieved depends on the nature of local and global constraints on grains; here we investig…
Ground-state structure and dynamics in a toy model for granular compaction
J. M. Luck
We report on a toy model for the glassy compaction dynamics of granular systems, introduced and investigated in collaboration with Anita Mehta and Peter Stadler. A stochastic dynam…
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…