Abstract
An exact solution is presented for Ising-like transitions in a decorated lattice model of a porous medium. The model is solved by decimation of the spins, leading to a space-filling lattice with renormalized parameters. The critical temperature is found to vary as 1/lnL, where L is the number of sites between intersections of the spin chains. Some of the critical exponents differ from those of the ordinary Ising problem. We have also studied the case of a single, infinitely long pore, using both exact and approximate methods. An exploration of finite-width effects reveals surprisingly small (quantitative) deviations from mean-field theory.
Original language | English (US) |
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Pages (from-to) | 3124-3129 |
Number of pages | 6 |
Journal | Physical Review B |
Volume | 48 |
Issue number | 5 |
DOIs | |
State | Published - 1993 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics