Spherically symmetric random walks. III. Polymer adsorption at a hyperspherical boundary

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.54.127· OSTI ID:285911

Bender, C M ^[1]; Boettcher, S ^[2]; Meisinger, P N ^[1]

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1. Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
2. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)

A recently developed model of random walks on a {ital D}-dimensional hyperspherical lattice, where {ital D} is {ital not} restricted to integer values, is used to study polymer growth near a {ital D}-dimensional attractive hyperspherical boundary. The model determines the fraction {ital P}({kappa}) of the polymer adsorbed on this boundary as a function of the attractive potential {kappa} for all values of {ital D}. The adsorption fraction {ital P}({kappa}) exhibits a second-order phase transition with a universal, nontrivial scaling coefficient for 0{lt}{ital D}{lt}4, {ital D}{ne}2, and exhibits a first-order phase transition for {ital D}{approx_gt}4. At {ital D}=4 there is a tricritical point with logarithmic scaling. This model reproduces earlier results for {ital D}=1 and 2, where {ital P}({kappa}) scales linearly and exponentially, respectively. A crossover transition that depends on the radius of the adsorbing boundary is found. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 285911
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 54; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ADSORPTION
PARTICLE PROPERTIES
POLYMERS
RANDOM WALK
TRANSPORT THEORY
USES