Dynamical transition orbitals: A particle–hole description in real-time TDDFT dynamics

Reformulating Time-Dependent Density Functional Theory (TDDFT) with Non-orthogonal Localized Molecular Orbitals

Fluid dynamical description of the chiral transition ∗

We investigate the dynamics of the chiral transition in an expanding quark-antiquark plasma. The calculations are made within a linear σ-model with explicit quark and antiquark degrees of freedom. We solve numerically the classical equations of motion for chiral fields coupled to the fluid dynamical equations for the plasma. Fast initial growth and strong oscillations of the chiral field and st...

Real-time description of parton-hadron conversion and confinement dynamics.

We propose a new and universal approach to the hadronization problem that incorporates both partonic and hadronic degrees of freedom in their respective domains of relevance, and that describes the conversion between them within a kinetic field theory formulation in real time and full 7-dimensional phase space. We construct a scale-dependent effective theory that reduces to perturbative QCD wit...

Bifurcation analysis and dynamics of a Lorenz –type dynamical system 

./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...

Dynamical Recognizers : Real - time Language

We consider a model of analog computation which can recognize various languages in real time. We encode an input word as a point in R d by composing iterated maps, and then apply inequalities to the resulting point to test for membership in the language. Each class of maps and inequalities, such as quadratic functions with rational coeecients, is capable of recognizing a particular class of lan...