Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-10-26
Physics
High Energy Physics
High Energy Physics - Lattice
to appear in NPB Proc. Suppl. of LATTICE'94, 3 pages, ps-file uuencoded, 2 figures included, NO-NUM-0
Scientific paper
10.1016/0920-5632(95)00418-9
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 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. We observe a crossover phenomenon to an area of linear growth at energies of the order of the inverse cell radius.
No associations
LandOfFree
Random Walk Model on a Hyper-Spherical Lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Random Walk Model on a Hyper-Spherical Lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random Walk Model on a Hyper-Spherical Lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-280698