192 citations · 344 across the 4 of their papers we have counts for
5 papers · 1 filter
Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
L. Jonathan Cook, R. K. P. Zia
We revisit a totally asymmetric simple exclusion process (TASEP) with open boundaries and a global constraint on the total number of particles [Adams, et. al. 2008 J. Stat. Mech. P…
Far-from-equilibrium transport with constrained resources
D. A. Adams, B. Schmittmann, R. K. P. Zia
The totally asymmetric simple exclusion process (TASEP) is a well studied example of far-from-equilibrium dynamics. Here, we consider a TASEP with open boundaries but impose a glob…
Power Spectra of the Total Occupancy in the Totally Asymmetric Simple Exclusion Process
D. A. Adams, R. K. P Zia, B. Schmittmann
As a solvable and broadly applicable model system, the totally asymmetric exclusion process enjoys iconic status in the theory of non-equilibrium phase transitions. Here, we focus…
Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
R. K. P. Zia, B. Schmittmann
One of the key features of non-equilibrium steady states (NESS) is the presence of nontrivial probability currents. We propose a general classification of NESS in which these curre…
Construction of the factorized steady state distribution in models of mass transport
R. K. P. Zia, M. R. Evans, Satya N. Majumdar
For a class of one-dimensional mass transport models we present a simple and direct test on the chipping functions, which define the probabilities for mass to be transferred to nei…