We study the effect of a large obstacle on the so-called residence time, i.e., the time that a particle performing a symmetric random walk in a rectangular (two-dimensional, 2D) domain needs to cross the strip. We observe complex behavior: We find out that the residence time does not depend monotonically on the geometric properties of the obstacle, such as its width, length, and position. In some cases, due to the presence of the obstacle, the mean residence time is shorter with respect to the one measured for the obstacle-free strip. We explain the residence time behavior by developing a one-dimensional (1D) analog of the 2D model where the role of the obstacle is played by two defect sites having smaller probability to be crossed with respect to all the other regular sites. The 1D and 2D models behave similarly, but in the 1D case we are able to compute exactly the residence time, finding a perfect match with the Monte Carlo simulations.

Residence time of symmetric random walkers in a strip with large reflective obstacles / Ciallella, Alessandro; Cirillo, Emilio N. M.; Sohier, Julien. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - STAMPA. - 97:5(2018), pp. 052116-1-052116-11. [10.1103/PhysRevE.97.052116]

Residence time of symmetric random walkers in a strip with large reflective obstacles

Ciallella, Alessandro
;
Cirillo, Emilio N. M.;
2018

Abstract

We study the effect of a large obstacle on the so-called residence time, i.e., the time that a particle performing a symmetric random walk in a rectangular (two-dimensional, 2D) domain needs to cross the strip. We observe complex behavior: We find out that the residence time does not depend monotonically on the geometric properties of the obstacle, such as its width, length, and position. In some cases, due to the presence of the obstacle, the mean residence time is shorter with respect to the one measured for the obstacle-free strip. We explain the residence time behavior by developing a one-dimensional (1D) analog of the 2D model where the role of the obstacle is played by two defect sites having smaller probability to be crossed with respect to all the other regular sites. The 1D and 2D models behave similarly, but in the 1D case we are able to compute exactly the residence time, finding a perfect match with the Monte Carlo simulations.
Statistical and Nonlinear Physics; Statistics and Probability; Condensed Matter Physics
01 Pubblicazione su rivista::01a Articolo in rivista
Residence time of symmetric random walkers in a strip with large reflective obstacles / Ciallella, Alessandro; Cirillo, Emilio N. M.; Sohier, Julien. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - STAMPA. - 97:5(2018), pp. 052116-1-052116-11. [10.1103/PhysRevE.97.052116]
File allegati a questo prodotto
File Dimensione Formato  
ccs-pre_97_052116_2018.pdf

accesso aperto

Note: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.052116
Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.24 MB
Formato Adobe PDF
1.24 MB Adobe PDF Visualizza/Apri PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1113300
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 10
social impact