Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density
Kong Y. Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density. Physical Review E 2006, 74: 061102. PMID: 17280033, DOI: 10.1103/physreve.74.061102.Peer-Reviewed Original ResearchLogarithmic correction termMonomer-dimer modelTwo-dimensional rectangular latticeCorrection termLattice widthLattice stripsFinite-size correctionsExact computational methodsRectangular latticeTwo-dimensional latticeAsymptotic theoryAccurate free energiesInfinite latticeAsymptotic expressionsLarge latticesSeries expansionFinite widthFree energyCorrect digitsLattice sitesFunctional formLatticeComputational methodsDecimal digitsDensity rhoPacking dimers on (2p+1)×(2q+1) lattices
Kong Y. Packing dimers on (2p+1)×(2q+1) lattices. Physical Review E 2006, 73: 016106. PMID: 16486215, DOI: 10.1103/physreve.73.016106.Peer-Reviewed Original ResearchSquare latticeNumber-theoretical propertiesLogarithmic termsMonomer-dimer problemFinite-size correctionsStatistical physics modelsNumber theoryExact solutionLattice stripsN latticePhysics modelsSize correctionsWidth NConfiguration numberLatticeComputational methodsFree energySingle vacancyUnexplored connectionsDistinct behaviorsTheoryTermsProblemSolutionEnergy