Complex-temperature phase diagram of Potts and RSOS models

We study the phase diagram of Q-state Potts models, for Q=4 cos^2(PI/p) a Beraha number (p>2 integer), in the complex-temperature plane. The models are defined on L x N strips of the square or triangular lattice, with boundary conditions on the Potts spins that are periodic in the longitudinal (N) direction and free or fixed in the transverse (L) direction. The relevant partition functions can then be computed as sums over partition functions of an A\_{p-1} type RSOS model, thus making contact with the theory of quantum groups. We compute the accumulation sets, as N -> infinity, of partition function zeros for p=4,5,6,infinity and L=2,3,4 and study selected features for p>6 and/or L>4. This information enables us to formulate several conjectures about the thermodynamic limit, L -> infinity, of these accumulation sets. The resulting phase diagrams are quite different from those of the generic case (irrational p). For free transverse boundary conditions, the partition function zeros are found to be dense in large parts of the complex plane, even for the Ising model (p=4). We show how this feature is modified by taking fixed transverse boundary conditions.Comment: 60 pages, 16 figures, 2 table

The Law of War

I regret that I must begin these remarks by saying that a great many international lawyers hold the view that if we do not notice war it will go away

Florence Richard \u27Dickie Baxter Papers - Accession 299

Florence Richard Dickie Baxter (1930-?) was a club woman and former president of the South Carolina Business and Professional Women’s Club. The Florence Richard Baxter Papers consist of correspondence, memoranda, bylaws, financial records, publications, brochures, newspaper clippings, and legislative voting profiles, mainly relating to the South Carolina Business and Professional Women’s Club activities in support of the proposed Equal Rights Amendment (ERA) ratification in the South Carolina General Assembly and the activities of such South Carolina Women’s organizations as the Columbia chapter of the National Organization of Women (NOW), the South Carolina Coalition for the Equal Rights Amendment, and Equal Rights Amendment South Carolina.https://digitalcommons.winthrop.edu/manuscriptcollection_findingaids/1335/thumbnail.jp