Self-avoiding walks on diluted networks Academic Article uri icon

abstract

  • It is shown that, contrary to recent suggestions, the exponent \ensuremath{\nu}, characterizing self-avoiding walks in a diluted lattice at the percolation threshold, is determined by a fixed point, different from the pure latttice one. The full phase diagram of this system is obtained by a real-space renormalization group and five nontrivial fixed points are identified. A field-theoretical treatment yields \ensuremath{\nu}=(1/2+\ensuremath{\epsilon}/42, with \ensuremath{\epsilon}=6-d. All these results are supported by exact enumeration analysis.

publication date

  • December 25, 1989