216 citations · 1k across the 22 of their papers we have counts for
18 papers · 1 filter
Non-equilibrium statistical mechanics of a two-temperature Ising ring with conserved dynamics
Nicholas Borchers, Michel Pleimling, R. K. P. Zia
The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sect…
Exact results for a simple epidemic model on a directed network: Explorations of a system in a non-equilibrium steady state
Maxim S. Shkarayev, R. K. P. Zia
Motivated by fundamental issues in non-equilibrium statistical mechanics (NESM), we study the venerable susceptible-infected (SIS) model of disease spreading in an idealized, simpl…
Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
R. K. P. Zia, J. J. Dong, B. Schmittmann
The phenomenon of protein synthesis has been modeled in terms of totally asymmetric simple exclusion processes (TASEP) since 1968. In this article, we provide a tutorial of the bio…
Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process
L. Jonathan Cook, R. K. P. Zia
To synthesize proteins in a cell, an mRNA has to work with a finite pool of ribosomes. When this constraint is included in the modeling by a totally asymmetric simple exclusion pro…
Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
R. K. P. Zia
When Lenz proposed a simple model for phase transitions in magnetism, he couldn't have imagined that the "Ising model" was to become a jewel in field of equilibrium statistical mec…
Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
L. Jonathan Cook, R. K. P. Zia, B. Schmittmann
Using Monte Carlo simulations and a domain wall theory, we discuss the effect of coupling several totally asymmetric simple exclusion processes (TASEPs) to a finite reservoir of pa…