Run-and-tumble particles, telegrapher's equation and absorption problems with partially reflecting boundaries

Authors :: Luca Angelani
Source :: Journal of physics. A, Mathematical and theoretical (Online) 48 (2015): 495003-1–495003-13. doi:10.1088/1751-8113/48/49/495003, info:cnr-pdr/source/autori:Luca Angelani/titolo:Run-and-tumble particles, telegrapher's equation and absorption problems with partially reflecting boundaries/doi:10.1088%2F1751-8113%2F48%2F49%2F495003/rivista:Journal of physics. A, Mathematical and theoretical (Online)/anno:2015/pagina_da:495003-1/pagina_a:495003-13/intervallo_pagine:495003-1–495003-13/volume:48
Publication Year :: 2016
Abstract: Absorption problems of run-and-tumble particles, described by the telegrapher's equation, are analyzed in one space dimension considering partially reflecting boundaries. Exact expressions for the probability distribution function in the Laplace domain and for the mean time to absorption are given, discussing some interesting limits (Brownian and wave limit, large volume limit) and different case studies (semi-infinite segment, equal and symmetric boundaries, totally/partially reflecting boundaries).<br />13 pages

Language :: English
Database :: OpenAIRE
Journal :: Journal of physics. A, Mathematical and theoretical (Online) 48 (2015): 495003-1–495003-13. doi:10.1088/1751-8113/48/49/495003, info:cnr-pdr/source/autori:Luca Angelani/titolo:Run-and-tumble particles, telegrapher's equation and absorption problems with partially reflecting boundaries/doi:10.1088%2F1751-8113%2F48%2F49%2F495003/rivista:Journal of physics. A, Mathematical and theoretical (Online)/anno:2015/pagina_da:495003-1/pagina_a:495003-13/intervallo_pagine:495003-1–495003-13/volume:48
Accession number :: edsair.doi.dedup.....f68b64acd21b13ca057fcddddcf8151d
Full Text :: https://doi.org/10.1088/1751-8113/48/49/495003

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