Boundary free energy in lattice spin systems
Abstract
The existence and properties of the boundary free energy function for lattice systems with arbitrary scalar spin variables or two-component vector spins were investigated. A definition of a standard pair of plane walls or boundaries is made by dividing a general d-dimensional lattice domain into two subdomains and severing all interactions between them. The change in total free energy associated with this process provides a standard definition of the boundary free energy for free boundaries. However, associated boundary conditions, also play a role. Banach space techniques are utilized in an analysis of ferromagnetic interactions.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- May 1978
- Bibcode:
- 1978PhDT........26C
- Keywords:
-
- Flux Density;
- Free Energy;
- Spin-Lattice Relaxation;
- Banach Space;
- Boundary Conditions;
- Boundary Value Problems;
- Correlation;
- Ferromagnetism;
- Thermodynamics;
- Solid-State Physics