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
Packing 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