Statistical models on spherical geometries

Journal Article · Mon Mar 27 04:00:00 EST 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.74.2410· OSTI ID:27859

Boettcher, S; Moshe, M ^[1]

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1. Physics Department, Technion-Israel Institute of Technology, Haifa 32000 (Israel)

We use a one-dimensional random walk on {ital D}-dimensional hyperspheres to determine the critical behavior of statistical systems in hyperspherical geometries. First, we demonstrate the properties of such a walk by studying the phase diagram of a percolation problem. We find a line of second and first order phase transitions separated by a tricritical point. Then, we analyze the adsorption-desorption transition for a polymer growing near the attractive boundary of a cylindrical cell membrane. We find that the fraction of adsorbed monomers on the boundary vanishes exponentially when the adsorption energy decreases towards its critical value.

• Research Organization: Brookhaven National Laboratory
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 27859
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 74; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ADSORPTION
DESORPTION
GEOMETRY
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
POLYMERS
SPHERICAL CONFIGURATION
STATISTICAL MODELS