Natural justice, law, and virtue in Hobbes's Leviathan

Scholars debate whether Hobbes held to a command theory of law or to a natural law theory, and to what extent they are compatible. Curiously, however, Hobbes summarizes his own teachings by claiming that it is “natural justice” that sovereigns should study, an idea that recalls ancient virtue ethics and which is seemingly incompatible with both command and natural law theory. The purpose of this article is to explicate the general significance of natural justice in Leviathan. It is argued that below the formal and ideological claims regarding the law's legitimacy, the effective ground of the legitimacy of both the civil and natural laws is sovereign virtue. In turn, it is argued that the model for this idea was found in Aristotle. As such, this article constitutes a general recasting of Hobbes's legal philosophy with a focus on the natural person of the sovereign

A thermodynamically self-consistent theory for the Blume-Capel model

We use a self-consistent Ornstein-Zernike approximation to study the Blume-Capel ferromagnet on three-dimensional lattices. The correlation functions and the thermodynamics are obtained from the solution of two coupled partial differential equations. The theory provides a comprehensive and accurate description of the phase diagram in all regions, including the wing boundaries in non-zero magnetic field. In particular, the coordinates of the tricritical point are in very good agreement with the best estimates from simulation or series expansion. Numerical and analytical analysis strongly suggest that the theory predicts a universal Ising-like critical behavior along the $\lambda$-line and the wing critical lines, and a tricritical behavior governed by mean-field exponents.Comment: 11 figures. to appear in Physical Review

Phase diagram of a two-dimensional system with anomalous liquid properties

Using Monte Carlo simulation techniques, we calculate the phase diagram for a square shoulder-square well potential in two dimensions that has been previously shown to exhibit liquid anomalies consistent with a metastable liquid-liquid critical point. We consider the liquid, gas and five crystal phases, and find that all the melting lines are first order, despite a small range of metastability. One melting line exhibits a temperature maximum, as well as a pressure maximum that implies inverse melting over a small range in pressure.Comment: 11 pages, 13 figure

S98RS SGR No. 14 (Finals)

A RESOLUTION To recommend to Executive Vice-Chancellor and Provost Dan Fogel, Robert Doolos of the University Registrars Office, and the University Calendar Committee to begin finals the Saturday after Dead Week and end the following Friday