The Dimer Gas Mayer Series, the Monomer-Dimer lambda_d(p), the Federbush Relation

Abstract

The author and Shmuel Friedland recently presented an expression for lambda_d(p) of the monomer-dimer problem involving a power series in p . Herein I present a simple way to derive this expression for lambda_d(p) from the Mayer (or Virial) series of a dimer gas. The derivation is an exercise in basic statistical mechanics. We expect the relationship to be very useful.

3 pages, more references and historical information

References in corpus (1)

• Convergence of the Formal Expansion for lambda_d(p) of the Monomer-Dimer Problem for Small p

Cited by in corpus (3)

• Higher order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices
• For the Monomer-Dimer lambda_d(p), the Master Algebraic Conjecture
• Proof of Convergence for the Lattice Monomer-Dimer Cluster Expansion I, a Simplified Model