Fluctuation pressure of a stack of membranes
Abstract
We calculate the universal constants in Helfrich's pressure law for a stack of N membranes between walls by strongcoupling theory. Using the close analogy between this system and a stack of strings, where the universal constants are exactly known, we construct a smooth potential that keeps the membranes apart. The strongcoupling limit of the perturbative treatment of the free energy yields pressure constants for an arbitrary number of membranes, which are in very good agreement with values from Monte Carlo simulations.
 Publication:

Physical Review E
 Pub Date:
 May 2001
 DOI:
 10.1103/PhysRevE.63.051709
 arXiv:
 arXiv:condmat/0011281
 Bibcode:
 2001PhRvE..63e1709B
 Keywords:

 87.16.Dg;
 05.40.a;
 Membranes bilayers and vesicles;
 Fluctuation phenomena random processes noise and Brownian motion;
 Condensed Matter
 EPrint:
 Author Information under http://www.physik.fuberlin.de/~kleinert/institution.html Latest update of paper also at http://www.physik.fuberlin.de/~kleinert/317