Motion and Capture in the Presence of Cooperative Trap Interactions Ii: Exact Calculations for Perfect Absorbers in One Dimension

Author

Paul Ernest Parris, Missouri University of Science and TechnologyFollow
S. M. Phatak
Vasudev M. Kenkre

Abstract

Exact calculations are presented for the survival fraction and other capturerelated observables in a problem involving migration on a one-dimensional lattice containing perfectly absorbing traps whose placement within the crystal is determined by explicit interactions among the trap molecules. These interactions, which are treated exactly in a lattice-gas model, may be attractive, in which case they lead to trap cluster formation and a reduction of the trapping efficiency, or they may be repulsive thus leading to increased separation of the trap molecules and an enhancement of the trapping process.

Recommended Citation

P. E. Parris et al., "Motion and Capture in the Presence of Cooperative Trap Interactions Ii: Exact Calculations for Perfect Absorbers in One Dimension," Journal of Statistical Physics, vol. 35, no. 5-6, pp. 749 - 760, Kluwer Academic Publishers-Plenum Publishers, Jun 1984.

The definitive version is available at https://doi.org/10.1007/BF01010831

Department(s)

Physics

Keywords and Phrases

Probability - Random Processes; Cooperative Trap Interactions; Lattice Gas; Particle Trapping; Absorption; Ising Models; Lattice Gas; Master Equation; Trapping

International Standard Serial Number (ISSN)

0022-4715

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1984 Kluwer Academic Publishers-Plenum Publishers, All rights reserved.

Publication Date

01 Jun 1984