Evidence of a glass transition in a 10-state non-mean-field Potts glass

Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model with long-range power-law interactions we present evidence that a glass transition below the upper critical dimension can exist for short-range systems at low enough temperatures. Gaining insights into the structural glass transition for short-range systems using spin models is thus potentially possible, yet difficult.Comment: 4 pages, 1 table, 2 figure

New Mexico Oil and Gas Update

No opinions were issued by the New Mexico Supreme Court during the survey period relating to oil and gas law. However, on August 24, 2012, the New Mexico Supreme Court issued its opinions in Edwin Smith, L.L.C. v. Synergy Operating2 and ConocoPhillips Company v. Patrick H. Lyons, both of which involve oil and gas properties. The Lyons opinion touched on a number of significant oil and gas issues, including the implied duty to market and the marketable condition rule in New Mexico, but again declined to address the marketable condition rule as unnecessary given the statutory origin of the state lease forms at issue. Even more significantly, the New Mexico Supreme Court requested briefing on, but as of the date of this review has not yet ruled on, whether it will accept the case for reconsideration