43 citations · 382 across the 27 of their papers we have counts for
18 papers · 1 filter
Interacting elephant random walks
Chikashi Arita, Eric Ragoucy
The elephant random walk is a history-dependent random walk. We study a class of interacting elephant random walks. Our model includes the exclusion process as a special case. By m…
Bulk diffusion in a kinetically constrained lattice gas
Chikashi Arita, P L Krapivsky, Kirone Mallick
In the hydrodynamic regime, the evolution of a stochastic lattice gas with symmetric hopping rules is described by a diffusion equation with density-dependent diffusion coefficient…
Variational calculation of transport coefficients in diffusive lattice gases
Chikashi Arita, P. L. Krapivsky, Kirone Mallick
A diffusive lattice gas is characterized by the diffusion coefficient depending only on the density. The Green-Kubo formula for diffusivity can be represented as a variational form…
Reply to "Comment on Generalized Exclusion Processes: Transport Coefficients"
Chikashi Arita, P. L. Krapivsky, Kirone Mallick
We reply to the comment of Becker, Nelissen, Cleuren, Partoens, and Van den Broeck, Phys. Rev. E 93, 046101 (2016) on our article, Phys. Rev. E 90, 052108 (2014) about transport pr…
Synchronized shocks in an inhomogeneous exclusion process
Chikashi Arita
We study an exclusion process with 4 segments, which was recently introduced by T Banerjee, N Sarkar and A Basu [J. Stat. Mech. (2015) P01024]. The segments have hopping rates 1, r…
Length regulation of microtubules by molecular motors: Exact solution and density profiles
Chikashi Arita, Alexander Lück, Ludger Santen
In this work we study a microtubule (MT) model, whose length is regulated by the action of processive kinesin motors. We treat the case of infinite processivity, i.e. particle exch…