Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-02-15
Phys.Rev.Lett. 74 (1995) 2410-2413
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, latex, 2 figures in ps
Scientific paper
10.1103/PhysRevLett.74.2410
We use a one-dimensional random walk on $D$-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical 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.
Boettcher Stefan
Moshe Maayan
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