Survival of interacting Brownian particles in crowded one-dimensional environment

The Journal of Chemical Physics
Artem Ryabov, Petr Chvosta

Abstract

We investigate a diffusive motion of a system of interacting Brownian particles in quasi-one-dimensional micropores. In particular, we consider a semi-infinite 1D geometry with a partially absorbing boundary and the hard-core inter-particle interaction. Due to the absorbing boundary the number of particles in the pore gradually decreases. We present the exact analytical solution of the problem. Our procedure merely requires the knowledge of the corresponding single-particle problem. First, we calculate the simultaneous probability density of having still a definite number (N - k) of surviving particles at definite coordinates. Focusing on an arbitrary tagged particle, we derive the exact probability density of its coordinate. Second, we present a complete probabilistic description of the emerging escape process. The survival probabilities for the individual particles are calculated, the first and the second moments of the exit times are discussed. Generally speaking, although the original inter-particle interaction possesses a point-like character, it induces entropic repulsive forces which, e.g., push the leftmost (rightmost) particle towards (opposite) the absorbing boundary thereby accelerating (decelerating) its escape. Mor...Continue Reading

References

Apr 8, 1996·Physical Review Letters·K HahnV Kukla
Apr 28, 1955·The Journal of Physiology·A L HODGKIN, R D KEYNES
Aug 25, 2004·Physical Review Letters·Christoph LutzClemens Bechinger
Feb 8, 2006·The Journal of Chemical Physics·C-Y ChouM Robert
Jun 1, 1981·Proceedings of the National Academy of Sciences of the United States of America·J Raper, S Karlin
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gwennou CoupierClaudine Guthmann
Jul 28, 2007·Journal of Nanoscience and Nanotechnology·Biswaroop MukherjeeA K Sood
Sep 1, 2007·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Chi-Yuan Cheng, Clifford R Bowers
Jan 12, 1990·Science·D G FrankA T Hubbard
Jul 26, 2008·Nature Nanotechnology·Cees Dekker
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Deepak Kumar
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L Lizana, T Ambjörnsson
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E Barkai, R Silbey
Sep 28, 2010·Physical Review Letters·N DorsazG Foffi
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J B DelfauM Saint Jean
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Valery N KharkyanenNatalia M Berezetskaya
Mar 10, 2011·The Journal of Chemical Physics·Kazuhiko SekiM Tachiya
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Artem Ryabov, Petr Chvosta

❮ Previous
Next ❯

Citations

Apr 26, 2013·The Journal of Chemical Physics·Artem Ryabov
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Artem Ryabov, Petr Chvosta
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N Leibovich, E Barkai

❮ Previous
Next ❯

Software Mentioned

quad

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.