Ab initio no core shell model

Thermal equilibration and expansion in nucleus-nucleus collisions at the AGS

Thermal and hadrochemical equilibration in nucleus-nucleus collisions at the SPS

Introduction.- The Source of Examples.- Invariance Equation in the Differential Form.- Film Extension of the Dynamics: Slowness as Stability.- Entropy, Quasi-Equilibrium and Projector Field.- Newton Method with Incomplete Linearization.- Quasi-chemical Representation.- Hydrodynamics from Grad's Equations: Exact Solutions.- Relaxation Methods.- Method of Invariant Grids.- Method of Natural Projector.- Geometry of Irreversibility: The Film of Nonequilibrium States.- Slow Invariant Manifolds for Open Systems.- Estimation of Dimension of Attractors.- Accuracy Estimation and Post-Processing.- Conclusion.

http://www.math.le.ac.uk/people/ag153/homepage/Beginning.pdf

Invariant Manifolds for Physical and Chemical Kinetics

Intermediate Quantum Mechanics. By Hans A. Bethe. $9.00; paperback $4.95. 1964. (W. H. Benjamin, New York and Amsterdam)

A semi-empirical determination of the properties of nuclear matter

On the cut-off prescriptions associated with power-law generalized thermostatistics

We consider a minimum Kullback entropy approach to determine approximate, time-dependent solutions to the $N$-dimensional Fokker-Planck (FP) equation. It is shown that the ensuing approximate solutions to the FP equation can be derived from a variational principle. We prove that the functional relation between the time derivative of the entropy, on the one hand, and the approximate (time-dependent) distribution functions, on the other, has the same form as that corresponding to exact solutions to the FP equation. Other properties of the approximate Kullback solutions and some particular examples are also discussed.

Minimum kullback entropy approach to the fokker-planck equation

Chemical equilibration in heavy-ion collisions

The effect of the non-extensive form of statistical mechanics proposed by Tsallis on the formation of a quark-gluon plasma (QGP) has been recently investigated in ref. \cite{1}. The results show that for small deviations ($\approx 10%$) from Boltzmann-Gibbs (BG) statistics in the QGP phase, the critical temperature for the formation of a QGP does not change substantially for a large variation of the chemical potential. In the present effort we use the extensive $\kappa$-deformed statistical mechanics constructed by Kaniadakis to represent the constituents of the QGP and compare the results with ref. [1].

H.G. Miller

Papers

A semi-empirical determination of the properties of nuclear matter

On the cut-off prescriptions associated with power-law generalized thermostatistics

Minimum kullback entropy approach to the fokker-planck equation

Chemical equilibration in heavy-ion collisions

Kappa-deformed Statistics and the Formation of a Quark-Gluon Plasma