Volume-Dependent Cluster Sums for Lattice Gases. II : Prototypes of Seven or Eight Points
スポンサーリンク
概要
- 論文の詳細を見る
In order to calculate the Temperley coefficients c_m for m=7, 8(and consequently the volume-dependent cluster sums involving seven or eight particles)for lattice gases with nearest-neighbour interactions by means of the method of a preceding paper I, all the prototypes-(defined in I) of seven or eight points are described and their values are calculated. Since the value of a prototype is the sum of the values of all the formal diagrams(defined in I)derived from it, some examples of formal diagrams and their values are given. The values are expressed as hypercomplex numbers, by which the three-dimensional(simple cubic), two-dimensional(square)and one-dimensional lattices are simultaneously represented.
- 一般社団法人日本物理学会の論文
- 1975-03-25
著者
-
Nisizima Kunisuke
Department Of Applied Physics Faculty Of Engineering Osaka University
-
Nisizima Kunisuke
Department of Applied Physics, Faculty of Engineering Osaka University
関連論文
- Formal Diagrams Derived from the Prototypes of Eight or Less Points
- Cluster Sums for Lattice Gases with Second Nearest Neighbour Interactions.II.One-Dimensional Lattice
- Volume-Dependent Cluster Sums for Lattice Gases. I : Calculation of the Temperley Coefficients
- Volume-Dependent Cluster Sums for Lattice Gases. IV : Behaviour of the Cluster Sums
- Irreducible Cluster Sums and the Virial Coefficients for Lattice Gases
- Cluster Sums for Lattice Gases with Second Nearest Neighbour Interactions.III.Three-Dimensional Simple Cubic Lattice
- Volume-Dependent Cluster Sums and Phase Transition of the Two-Dimensional Triangular Lattice Gas
- Negative Thermal Expansion of the One-Dimensional Lattice Gas with Hard-Core Nearest-Neighbor and Next-Nearest-Neighbor Interactions : Condensed Matter and Statistical Physics
- Phase Transitions of Lattice Gases : Satisfaction of the G-Condition : Condensed Matter and Statistical Physics
- A Generalized Evolution Criterion in Nonequilibrium Convective Systems
- Cluster Sums for Lattice Gases with Second Nearest Neighbour Interactions.I.Two-Dimensional Square Lattice
- Volume-Dependent Irreducible Cluster Sums and Phase Transition of Lattice Gases
- Volume-Dependent Cluster Sums for Lattice Gases. III : Patterns of Seven or Eight Particles and Expressions for the Cluster Sums
- Volume-Dependent Cluster Sums for Lattice Gases. II : Prototypes of Seven or Eight Points
- Negative Thermal Expansion of the One-Dimensional Lattice Gas with Next-Nearest-Neighbor Interaction