Critical behavior of twodimensional vesicles in the deflated regime
Abstract
The critical behavior of twodimensional vesicles in the deflated regime is studied analytically using a mapping onto a gauge model, scaling arguments, and exact inequalities. In agreement with the results of earlier studies the critical behavior is governed by a branchedpolymer fixed point. The shape of the critical line in the gauge model is deduced in the weak and in the inifnitely deflated regime.
 Publication:

Physical Review A
 Pub Date:
 May 1991
 DOI:
 10.1103/PhysRevA.43.5752
 Bibcode:
 1991PhRvA..43.5752B
 Keywords:

 Gauge Theory;
 Ising Model;
 Lattices (Mathematics);
 Scaling Laws;
 Fractals;
 Hamiltonian Functions;
 Monomers;
 Monte Carlo Method;
 Random Walk;
 Topology;
 Physics (General);
 87.10.+e;
 05.20.y;
 64.60.i;
 General theory and mathematical aspects;
 Classical statistical mechanics;
 General studies of phase transitions