We report the first measurements of sixth order non-linear quark number susceptibilities in continuum QCD. This extends our earlier computation of the continuum limit [1] of non-linear quark number susceptibilities and the pressure in QCD for m/Tc = 0.1. For T/Tc ≥ 1.5, no phase transitions are observable for μ < 30T . Systematics of off-diagonal susceptibilities are reported. The equation of s...

A method is presented to define unique continuum states for the two-center Dirac Hamiltonian. In the spherical limit these states become the familiar angular-momentum eigenstates of the radial Coulomb potential. The different states for a fixed total energy I E I > m may be distinguished by considering the asymptotic spin-angular distribution of states with unique scattering phases. The first n...

A continuum model for the phase separation and coarsening in electrostatically driven granular media is formulated in terms of a Ginzburg-Landau equation subject to conservation of the total number of grains. In the regime of well-developed clusters, the continuum model is used to derive "sharp-interface" equations that govern the dynamics of the interphase boundary. The model captures the esse...

New equations are derived and implemented for efficient and accurate computation of solvation energy derivatives for the conductor-like polarizable continuum model (C-PCM) and the isotropic integral equation formalism polarizable continuum model (IEF-PCM). Two new molecular surface tessellation procedures GEPOL-RT and GEPOL-AS that generate near continuous potential energy surfaces are proposed...

The stationary motion of shuffle screw and 60? dislocations in silicon when the applied shear, ?ap, is much below static Peierls stress,?pmax, proved quantified through a series molecular dynamics (MD) simulations at 1 K 300 K, also by solving continuum-level equation motion, which uses atomistic information as inputs. concept dynamic stress, ?pd, dislocation can never be possible, built upon f...

We introduce an integrable time-discretized version of the classical CalogeroMoser model, which goes to the original model in a continuum limit. This discrete model is obtained from pole solutions of a discretized version of the Kadomtsev-Petviashvili equation, leading to a finite-dimensional symplectic mapping. Lax pair, symplectic structure and sufficient set of invariants of the discrete Cal...

We study a " burst " event, i. e. the evolution of an initial condition having support only in a finite interval of k-space, in the continuum shell model due to Parisi [1]. We show that the continuum equation without forcing or dissipation can be explicitly written in characteristic form and that the right and left moving parts can be solved exactly. When this is supplemented by the appropriate...