510 citations · 3.3k across the 84 of their papers we have counts for
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Matrix product solution of the multispecies partially asymmetric exclusion process
S. Prolhac, M. R. Evans, K. Mallick
We find the exact solution for the stationary state measure of the partially asymmetric exclusion process on a ring with multiple species of particles. The solution is in the form…
Statistical Properties of the Final State in One-dimensional Ballistic Aggregation
Satya N. Majumdar, Kirone Mallick, Sanjib Sabhapandit
We investigate the long time behaviour of the one-dimensional ballistic aggregation model that represents a sticky gas of N particles with random initial positions and velocities,…
Non-equilibrium self-assembly of a filament coupled to ATP/GTP hydrolysis
Padinhateeri Ranjith, David Lacoste, Kirone Mallick +1
We study the stochastic dynamics of growth and shrinkage of single actin filaments or microtubules taking into account insertion, removal, and ATP/GTP hydrolysis of subunits. The r…
Asymptotic localization of stationary states in the nonlinear Schroedinger equation
Shmuel Fishman, Alexander Iomin, Kirone Mallick
The mapping of the Nonlinear Schroedinger Equation with a random potential on the Fokker-Planck equation is used to calculate the localization length of its stationary states. The…
Stochastic bifurcations: a perturbative study
Sebastien Aumaitre, Kirone Mallick, Francois Petrelis
We study a noise-induced bifurcation in the vicinity of the threshold by using a perturbative expansion of the order parameter, called the Poincaré-Lindstedt expansion. Each term o…
Matrix representation of the stationary measure for the multispecies TASEP
Martin R. Evans, Pablo A. Ferrari, Kirone Mallick
In this work we construct the stationary measure of the N species totally asymmetric simple exclusion process in a matrix product formulation. We make the connection between the ma…