We study the distribution of zeroes of the Jones polynomial V K (t) for a knot K. We have computed numerically the roots of the Jones polynomial for all prime knots with N ≤ 10 crossings, and found the zeroes scattered about the unit circle |t| = 1 with the average distance to the circle approaching a nonzero value as N increases. For torus knots of the type (m, n) we show that all zeroes lie o...

We study the distribution of zeroes of the Jones polynomial V K (t) for a knot K. We have computed numerically the roots of the Jones polynomial for all prime knots with N ≤ 10 crossings, and found the zeroes scattered about the unit circle |t| = 1 with the average distance to the circle approaching a nonzero value as N increases. For torus knots of the type (m, n) we show that all zeroes lie o...

Recent lattice model calculations have suggested that a full-layered crystal surface may undergo, under canonical (particle-conserving) conditions, a preroughening-driven two-dimensional phase separation into two disordered flat regions, of opposite order parameter. We have carried out extensive classical molecular dynamics (MD) simulations of the Lennard-Jones fcc(111) surface, to check whethe...

We study an off-lattice protein toy model with two species of monomers interacting through modified Lennard-Jones interactions. Low energy configurations are optimized using the pruned-enriched-Rosenbluth method (PERM), hitherto employed to native state searches only for off-lattice models. For two dimensions we found states with lower energy than previously proposed putative ground states for ...

The influence of the unlike Lennard-Jones (LJ) parameters on vapor-liquid equilibria of mixtures is investigated and the performance of eleven combining rules is assessed. In the first part of the work, the influence of the unlike LJ size and energy parameter on vapor pressure, bubble density and dew point composition is systematically studied for the mixtures CO+C2H6 and N2+C3H6, respectively....

TIM D AW 1 , 2 ∗, KATRI N A B ROWN 1 , SE R G I O RO S E N D O 1 , 3 AND ROBERT POMEROY 4 1School of International Development, University of East Anglia, Norwich NR4 7TJ, UK, 2Stockholm Resilience Centre, Stockholm University, SE-106 91 Stockholm, Sweden, 3e-GEO, Faculdade de Ciências Sociais e Humanas, FCSH, Universidade Nova de Lisboa, Avenida de Berna, 26-C, 1069-061 Lisbon, Portugal, and 4...

In this paper we introduce, and characterize, a class of graph parameters obtained from tensor invariants of the symplectic group. These parameters are similar to partition functions of vertex models, as introduced by de la Harpe and Jones, [P. de la Harpe, V.F.R. Jones, Graph invariants related to statistical mechanical models: examples and problems, Journal of Combinatorial Theory, Series B 5...

We construct inclusions of the form (B0 ⊗ P ) G ⊂ (B1 ⊗ P ) , where G is a compact quantum group of Kac type acting on an inclusion of finite dimensional C-algebras B0 ⊂ B1 and on a II1 factor P . Under suitable assumptions on the actions of G, this is a subfactor, whose Jones tower and standard invariant can be computed by using techniques of A. Wassermann. The subfactors associated to subgrou...

We prove a classification result for properly outer actions σ of discrete amenable groups G on strongly amenable subfactors of type II, N ⊂ M , a class of subfactors that were shown to be completely classified by their standard invariant GN,M , in ([Po7]). The result shows that the action σ is completely classified in terms of the action it induces on GN,M . As a an application of this, we obta...