73 citations · 140 across the 14 of their papers we have counts for
14 papers
Asymmetric exclusion process with long-range interactions
V. Belitsky, N. P. N. Ngoc, G. M. Schütz
We introduce the headway exclusion process which is an exclusion process with particles on the one-dimensional discrete torus with sites with jump rates that depend only on…
An exactly solvable model for RNA polymerase during the elongation stage
Ngo Phuoc Nguyen Ngoc, Vladimir Belitsky, Gunter M. Schütz
We consider a Markovian model for the kinetics of RNA Polymerase (RNAP) which provides a physical explanation for the phenomenon of cooperative pushing during transcription elongat…
RNA polymerase interactions and elongation rate
V. Belitsky, G. M. Schütz
We show that non-steric molecular interactions between RNA polymerase (RNAP) motors that move simultaneously on the same DNA track determine strongly the kinetics of transcription…
Self-duality and shock dynamics in the -component priority ASEP
V. Belitsky, G. M. Schütz
We study the -component priority asymmetric simple exclusion process (-ASEP) with reflecting boundaries. We obtain all invariant measures in explicit form and prove reversibi…
Quantum algebra symmetry of the ASEP with second-class particles
V. Belitsky, G. M. Schütz
We consider a two-component asymmetric simple exclusion process (ASEP) on a finite lattice with reflecting boundary conditions. For this process, which is equivalent to the ASEP wi…
Self-Duality for the Two-Component Asymmetric Simple Exclusion Process
V. Belitsky, G. M. Schütz
We study a two-component asymmetric simple exclusion process (ASEP) that is equivalent to the ASEP with second-class particles. We prove self-duality with respect to a family of du…