Biomedical subjects

Yen-Liang Chou

Publications and source records attributed to Yen-Liang Chou.

3 recordsLinked to original sources

PubMed2006

Partition functions and finite-size scalings of Ising model on helical tori.

The exact closed forms of the partition functions of a two-dimensional Ising model on square lattices with twisted boundary conditions are given. The constructions of helical tori are unambiguously related to the twisted boundary conditions by virtue of the SL(2, Z) transforms. The numerical analyses on the deviations of the specific-heat peaks away from the bulk critical temperature reveal that the finite-size effect of herical tori is independent of the chirality.

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PubMed2003

Distribution and density of the partition function zeros for the diamond-decorated Ising model.

Exact renormalization map of temperature between two successive decorated lattices is given, and the distribution of the partition function zeros in the complex temperature plane is obtained for any decoration level. The rule governing the variation of the distribution pattern as the decoration level changes is given. The densities of the zeros for the first two decoration levels are calculated explicitly, and the qualitative features about the densities of higher decoration levels are given by conjecture. The Julia set associated with the renormalization map is contained in the distribution of the zeros in the limit of infinite decoration level, and the formation of the Julia set in the course of increasing the decoration level is given in terms of the variations of the zero density.

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PubMed2002

Evolution and structure formation of the distribution of partition function zeros: triangular type Ising lattices with cell decoration.

The distribution of partition function zeros of the two-dimensional Ising model in the complex temperature plane is studied within the context of triangular decorated lattices and their triangle-star transformations. Exact recursion relations for the zeros are deduced for the description of the evolution of the distribution of the zeros subject to the change of decoration level. In the limit of infinite decoration level, the decorated lattices essentially possess the Sierpiński gasket or its triangle-star transformation as the inherent structure. The positions of the zeros for the infinite decorated lattices are shown to coincide with the ones for the Sierpiński gasket or its triangle-star transformation, and the distributions of zeros all appear to be a union of infinite scattered points and a Jordan curve, which is the limit of the scattered points.

Journal Article↗