SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY

Details SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY

1995-06-06

arxiv.org/abs/hep-lat/9506013v1

Phys.Rev.E54:127-135,1996

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, Revtex, uuencoded, (two ps-figures included, fig2 in color)

Scientific paper

10.1103/PhysRevE.54.127

A recently developed model of random walks on a $D$-dimensional hyperspherical lattice, where $D$ is {\sl not} restricted to integer values, is used to study polymer growth near a $D$-dimensional attractive hyperspherical boundary. The model determines the fraction $P(\kappa)$ of the polymer adsorbed on this boundary as a function of the attractive potential $\kappa$ for all values of $D$. The adsorption fraction $P(\kappa)$ exhibits a second-order phase transition with a nontrivial scaling coefficient for $04$. At $D=4$ there is a tricritical point with logarithmic scaling. This model reproduces earlier results for $D=1$ and $D=2$, where $P(\kappa)$ scales linearly and exponentially, respectively. A crossover transition that depends on the radius of the adsorbing boundary is found.

Affiliated with

Also associated with

No associations

Rating

SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY 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 SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-720567