2024
Recurrence solution of monomer-polymer models on two-dimensional rectangular lattices
Kong Y. Recurrence solution of monomer-polymer models on two-dimensional rectangular lattices. Physical Review E 2024, 110: 054135. DOI: 10.1103/physreve.110.054135.Peer-Reviewed Original ResearchTwo-dimensional rectangular latticeRecurrence relationsRectangular latticeMonomer-dimer problemPlanar latticesRecurrent solutionsLong standing problemLattice sitesAdjacent lattice sitesLatticeProblemComputational complexitySolutionRelationsEnumerationPolymer coverUnoccupied lattice sitesRigid polymersMonomer-polymerSolution of long-standing problemsPolymerPolymer length
2006
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 rho