Universality in random-walk models with birth and death
Journal Article
·
· Physical Review Letters
- Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
Models of random walks are considered in which walkers are born at one site and die at all other sites. Steady-state distributions of walkers exhibit dimensionally dependent critical behavior as a function of the birth rate. Exact analytical results for a hyperspherical lattice yield a second-order phase transition with a nontrivial critical exponent for all positive dimensions {ital D}{ne}2, 4. Numerical studies of hypercubic and fractal lattices indicate that these exact results are universal. This work elucidates the adsorption transition of polymers at curved interfaces. {copyright} {ital 1995} {ital The} {ital American} {ital Physical} {ital Society}.
- Research Organization:
- Brookhaven National Laboratory
- DOE Contract Number:
- AC02-76CH00016; FG02-91ER40628
- OSTI ID:
- 130759
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 75; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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