Landau theory of the crumpling transition
Abstract
An order-parameter theory of the crumpling transition in D-dimensional polymerized membranes embedded in d dimensions is developed. Within mean-field theory, we show how self-avoidance modifies the behavior at the second-order crumpling transition. Fluctuations drive the transition first order to lowest order in ɛ=4-D, for d<dc~=219.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 1988
- DOI:
- 10.1103/PhysRevLett.60.2638
- Bibcode:
- 1988PhRvL..60.2638P
- Keywords:
-
- 64.60.Fr;
- 05.40.+j;
- 82.65.Dp;
- 87.15.Da;
- Equilibrium properties near critical points critical exponents