About: Controlling Particle Currents with Evaporation and Resetting

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Controlling Particle Currents with Evaporation and Resetting
Creator	Gambassi, Andrea Gupta, Shamik Tucci, Gennaro
source	ArXiv
abstract	We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the appearance of a Brownian yet non-Gaussian diffusion: at long times, the particle distribution is non-Gaussian but its variance grows linearly in time. Moreover, we show that the effective diffusion coefficient of the particles in such systems is bounded from below by $(1-2//pi)$ times their bare diffusion coefficient. For periodic boundary conditions, i.e., for diffusion on a ring with resetting, we demonstrate a ``gauge invariance'' of the spatial particle distribution for different choices of the resetting probability currents, in both stationary and non-stationary regimes. Finally, we apply our findings to a stochastic biophysical model for the motion of RNA polymerases during transcriptional pauses, deriving analytically the distribution of the length of cleaved RNA transcripts and the efficiency of RNA cleavage in backtrack recovery.
has issue date	2020-05-11(xsd:dateTime)
has license	arxiv
sha1sum (hex)	d3fc6dc0d94d4c3976dc3ceeaac0b74618412d91
resource representing a document's title	Controlling Particle Currents with Evaporation and Resetting
resource representing a document's body	covid:d3fc6dc0d94d4c3976dc3ceeaac0b74618412d91#body_text
is schema:about of	named entity 'choices' named entity 'systems' named entity 'Brownian diffusion' named entity 'non-Gaussian' named entity 'distribution' »more»

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