66 citations · 470 across the 30 of their papers we have counts for
14 papers · 1 filter
Asymmetry-induced delocalization transition in the integrable non-Hermitian spin chain
Yuki Ishiguro, Jun Sato, Katsuhiro Nishinari
The emergence of quasiparticles is a universal property in integrable systems. String-type quasiparticles, which are characterized by the string solutions of Bethe equations, play…
Burgers equation with finite particle correction of the asymmetric simple exclusion process derived from the derivative nonlinear Schrödinger equation
Yuki Ishiguro, Jun Sato, Katsuhiro Nishinari
We investigate the dynamics of the asymmetric simple exclusion process (ASEP) on a ring. The ASEP is equivalent to the derivative nonlinear Schrödinger equation (DNLS), which is in…
A Biologically Motivated Asymmetric Exclusion Process: interplay of congestion in RNA polymerase traffic and slippage of nascent transcript
Soumendu Ghosh, Annwesha Dutta, Shubhadeep Patra +3
We develope a theoretical framework, based on exclusion process, that is motivated by a biological phenomenon called transcript slippage (TS). In this model a discrete lattice repr…
Exact regimes of collapsed and extra two-string solutions in the two down-spin sector of the spin-1/2 massive XXZ spin chain
Takashi Imoto, Jun Sato, Tetsuo Deguchi
We derive exactly the number of complex solutions with two down-spins in the massive regime of the periodic spin-1/2 XXZ spin chain of sites. Here we remark that every solution…
Relaxation dynamics of closed diffusive systems with infinitesimal Langmuir kinetics
Jun Sato, Katsuhiro Nishinari
We consider the asymmetric simple exclusion process with Langmuir kinetics in the closed boundary condition. We analytically obtain the exact stationary state and a series of excit…
Relaxation dynamics of the asymmetric simple exclusion process with Langmuir kinetics on a ring
Jun Sato, Katsuhiro Nishinari
We consider the asymmetric simple exclusion process with Langmuir kinetics on a periodic lattice. We analytically obtain the exact time evolution of correlation functions with arbi…