39 citations · 75 across the 4 of their papers we have counts for
5 papers
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…
Current Fluctuations in the exclusion process and Bethe Ansatz
Sylvain Prolhac, Kirone Mallick
We use the Bethe Ansatz to derive analytical expressions for the current statistics in the asymmetric exclusion process with both forward and backward jumps. The Bethe equations ar…
Supersymmetry and Nonequilibrium Work Relations
Kirone Mallick, Moshe Moshe, Henri Orland
We give a field-theoretic proof of the nonequilibrium work relations for a space dependent field with stochastic dynamics. The path integral representation and its symmetries allow…
Molecular Spiders in One Dimension
Tibor Antal, P. L. Krapivsky, Kirone Mallick
Molecular spiders are synthetic bio-molecular systems which have "legs" made of short single-stranded segments of DNA. Spiders move on a surface covered with single-stranded DNA se…
Family of Commuting Operators for the Totally Asymmetric Exclusion Process
O. Golinelli, K. Mallick
The algebraic structure underlying the totally asymmetric exclusion process is studied by using the Bethe Ansatz technique. From the properties of the algebra generated by the loca…