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- W1995449823 abstract "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 $Densuremath{ne}2$, 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." @default.
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- W1995449823 date "1995-10-30" @default.
- W1995449823 modified "2023-09-23" @default.
- W1995449823 title "Universality in Random-Walk Models with Birth and Death" @default.
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- W1995449823 doi "https://doi.org/10.1103/physrevlett.75.3210" @default.
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