For a d-dimensional 4" lattice field theory consisting of N spins with nearest-neighbor interactions, the partition function is transformed for large bare coupling constant A into an Ising-like system with additional neighbor interactions. For d = 2 a mean field approximation is then used to estimat
Coarsened Lattice Spatial Disorder in the Thermodynamic Limit
✍ Scribed by R. Piasecki; A. Czaiński
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 186 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0370-1972
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The spatio-temporal dynamics of discrete lattices of coupled bistable elements is considered. It is shown that both regular and chaotic spatial field distributions can be realized depending on parameter values and initial conditions. For illustration, we provide results for two lattice systems: the
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