Abstract
The effect of collective modes on the otherwise local structure of Ising lattices is investigated by studying a number of exactly solvable models. First, the open one-dimensional Ising model serves to define sharp locality. This feature then remains upon extension to a Bethe lattice, despite the existence of a phase transition. But insertion of periodic boundary conditions creates a collective mode which breaks locality in a very specific fashion. A model interface is analyzed to show that even when locality is not broken, local uniformity can become untenable.
Original language | English (US) |
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Pages (from-to) | 1263-1277 |
Number of pages | 15 |
Journal | Journal of Statistical Physics |
Volume | 55 |
Issue number | 5-6 |
DOIs | |
State | Published - Jun 1989 |
Keywords
- Articles collective mode
- Bethe lattice
- Ising lattice
- density functional
- density profile
- local correlations
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics