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 twocomponent vector spins were investigated. A definition of a standard pair of plane walls or boundaries is made by dividing a general ddimensional 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;
 SpinLattice Relaxation;
 Banach Space;
 Boundary Conditions;
 Boundary Value Problems;
 Correlation;
 Ferromagnetism;
 Thermodynamics;
 SolidState Physics