159 citations · 351 across the 10 of their papers we have counts for
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Exact probability function for bulk density and current in the asymmetric exclusion process
Martin Depken, Robin Stinchcombe
We examine the asymmetric simple exclusion process with open boundaries, a paradigm of driven diffusive systems, having a nonequilibrium steady state transition. We provide a full…
Fluctuation-dissipation relation and the Edwards entropy for a glassy granular compaction model
Martin Depken, Robin Stinchcombe
We analytically study a one dimensional compaction model in the glassy regime. Both correlation and response functions are calculated exactly in the evolving dense and low tapping…
Exact joint density-current probability function for the asymmetric exclusion process
Martin Depken, Robin Stinchcombe
We study the asymmetric exclusion process with open boundaries and derive the exact form of the joint probability function for the occupation number and the current through the sys…
On the Gallavotti-Cohen symmetry for stochastic systems
Martin Depken
Considering Langevin dynamics we derive the general form of the stochastic differential that satisfies the Gallavotti-Cohen symmetry. This extends the work previously done by Kurch…
Marginal scaling scenario and analytic results for a glassy compaction model
Robin Stinchcombe, Martin Depken
A diffusion-deposition model for glassy dynamics in compacting granular systems is treated by time scaling and by a method that provides the exact asymptotic (long time) behavior.…