10 citations · 19 across the 7 of their papers we have counts for
7 papers
Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Non-Bipartite Lattice
F. Y. Wu, Wen-Jer Tzeng, N. Sh. Izmailian
We solve the monomer-dimer problem on a non-bipartite lattice, the simple quartic lattice with cylindrical boundary conditions, with a single monomer residing on the boundary. Due…
Scaling Analysis and Systematic Extraction of Macroscopic Structures in Fluctuating Systems of Arbitrary Dimensions
Ning-Ning Pang, Hisen-Ching Kao, Wen-Jer Tzeng
Many fluctuating systems consist of macroscopic structures in addition to noisy signals. Thus, for this class of fluctuating systems, the scaling behaviors are very complicated. Su…
Dimers on a simple-quartic net with a vacancy
W. -J. Tzeng, F. Y. Wu
A seminal milestone in lattice statistics is the exact solution of the enumeration of dimers on a simple-quartic net obtained by Fisher,Kasteleyn, and Temperley (FKT) in 1961. An o…
Spanning Trees on Hypercubic Lattices and Non-orientable Surfaces
W. -J. Tzeng, F. Y. Wu
We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice of size N…
Exact Solution of Frenkel-Kontorova Models with a Complete Devil's Staircase in Higher Dimensions
Hsien-chung Kao, Shih-Chang Lee, Wen-Jer Tzeng
We solve exactly a class of Frenkel-Kontorova models with piecewise parabolic potential, which has sub-wells in a period. With careful analysis, we show that the phase diagram…
Farey Tree and the Frenkel-Kontorova Model
Hsien-chung Kao, Shih-Chang Lee, Wen-Jer Tzeng
We solved the Frenkel-Kontorova model with the potential exactly. For given , there exists a positive integer such…