Abstract
We determine, through numerical energy optimization, the fundamental-state energy E associated with an extended model for ferrofluids (colloidal suspension of magnetic particles assumed to form rings of N dipoles). The extension consists in generalizing, into 1/ (0≤α), a standard 1/ contribution to the attrative potential. We show that E∝N, N lnN, or , respectively, for α>1, α=1, or 0≤α<1. In addition, a connection with generalized statistical mechanics is conjecturally proposed and the analogy with the d=2 XY ferromagnet is exhibited.
- Received 31 January 1995
DOI:https://doi.org/10.1103/PhysRevB.52.50
©1995 American Physical Society