Entropy of Selfavoiding Surfaces on the Lattice

Sep, 1982
4 pages
Published in:
  • Phys.Lett.B 121 (1983) 345-348
  • Published: 1983
Report number:
  • UCB-PTH-82/17,
  • LBL-14982

Citations per year

198319881993199820030123456
Abstract: (Elsevier)
We compute the entropy of latticized, self-avoiding planar surfaces in three dimensions, by computer simulation of surface fluctuations. Our data are consistent with the formula N S ∼ S γ e ϵ S , where N S is the number of surfaces of area S , and γ = −0.5 ± 0.05, ϵ = 0.531 ± 0.003. We also determine the phase structure of a field theory based on interacting surfaces, which reduces to Z 2 lattice gauge theory in the “non-interacting” limit.
  • LATTICE FIELD THEORY: CRITICAL PHENOMENA
  • GAUGE FIELD THEORY: Z(2)
  • ENTROPY
  • NUMERICAL CALCULATIONS: MONTE CARLO
  • FIELD THEORY: THREE-DIMENSIONAL