Exact partition function zeros of a polymer on a simple cubic lattice

Exact T=0 partition functions for Potts antiferromagnets on sections of the simple cubic lattice.

We present exact solutions for the zero-temperature partition function of the q-state Potts antiferromagnet (equivalently, the chromatic polynomial P) on tube sections of the simple cubic lattice of fixed transverse size Lx x L(y) and arbitrarily great length L(z), for sizes Lx x L(y)=2 x 3 and 2 x 4 and boundary conditions (a) (FBC(x),FBC(y),FBC(z)) and (b) (PBC(x),FBC(y),FBC(z)), where FBC (P...

Parallel algorithm for calculation of the exact partition function of a lattice polymer

Exact partition functions of a polymer on a square lattice up to chain length 38

Collapse transition of the lattice polymer on a square lattice is studied by calculating the exact partition functions up to chain length 38; they are obtained by enumerating the number of possible conformations for each energy value. We observe that the locus of partition function zeros approaches the positive real axis as the chain length increases, providing evidence of the collapse transiti...

Partition function zeros of the square lattice Potts model.

We have evaluated numerically the zeros of the partition function of the q-state Potts model on the square lattice with reduced interactions K . On the basis of our numerical results, we conjecture that, both for finite planar self-dual lattices and for lattices with free or periodic boundary conditions in the thermodynamic limit, the zeros in the Resxd . 0 region of the complex x ­ seK 2 1dypq...

Exact zeros of the partition function for a continuum system with double gaussian peaks

We calculate the exact zeros of the partition function for a continuum system where the probability distribution for the order parameter is given by two asymmetric Gaussian peaks. When the positions of the two peaks coincide, the two separate loci of the zeros that used to give a first-order transition touch each other, with the density of zeros vanishing at the contact point on the positive re...