Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-25T02:52:24.707Z Has data issue: false hasContentIssue false

A one-dimensional random walk with repulsion

Published online by Cambridge University Press:  17 February 2009

D. F. Hines
Affiliation:
Department of Physics, University of Melbourne, Parkville, Vic. 3052
C. J. Thompson
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Vic. 3052
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A one-sided one-dimensional random walk with repulsion from the origin is solved exactly. The walk imitates the self-avoiding walk problem insofar as the mean end-to-end distance of an n-step walk tends asymptotically to n as n tends to infinity.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Domb, C., Adv. Chem. Phys. 15 (1969), 229.Google Scholar
[2]Edwards, S. F., Proc. Phys. Soc. 85 (1965), 613.CrossRefGoogle Scholar
[3]Flory, P., J. Chem. Phys. 17 (1949), 303.CrossRefGoogle Scholar
[4]de Gennes, P., Rep. Prog. Phys. 32 (1969), 187.CrossRefGoogle Scholar
[5]Wall, F. T. and Erpenbeck, J. J., J.Chem. Phys. 30 (1959), 634.CrossRefGoogle Scholar