Fachbereich Physik, Universität Kassel

Dr. Alexander Uvarov

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Alexander Uvarov
Dr. rer. nat. (Ph.D)
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Research interests


My scientific interests revolves especially around the study of  various clasical and quantum aspects of the non--equilibrium as well as equlibrium properties of complex systems (for instance,  macromolecule or colloidal particles immersed in solvent as well as the macromolecular solution as whole) by means of thermodynamics and  statistical theory as well as  of various  methods of computer simulations.

Below, a list of short abstracts summarizes my current research interests more precisely:
  Equilibrium and nonequlibrium thermodynamic processes in condensed&soft matter

   °    Role of the rigid constraints in the orientation--relaxational properties macromolecule.
   °    Effects of various types of the interactions on the dynamical behaviour of non--rigid macromolecular solution:
              ×   effects of the macromolecul--solvent interaction
              ×   effects of the bead--bead  interaction
              ×   contribution of the high--order correlation
    °    Friction of macromolecules in solution. Contribution of the various mode correlations.

Keywords: macromolecular solution, friction, diffusion, stretched (non--)exponential relaxation, Fokker-Planck equation, transport
                     equation (with memory), central--limit theorem, anomalous transport, algebraic tails, reptation, mode-coupling theory
  "Chaos&Fractal" properties of mixtures

   °    Fractal structure of the macromolecules as well as macromolecular solvent.
   °    Chaotic properties of macromolecular mixtures. Transport properties of the macromolecule via Kolmogorov-Sinai entropy and Lyapunov
         exponents.

Keywords: anomalous transport, chaos, diffusion, fractal properties, instability system, Kolmogorov-Sinai entropy, Lyapunov exponents
  Quantum Brownian Motion

   °    Quantum aspects of the Brownian motion. In application to the Brownian motor.
   °    Quantum mecanical approaches to the transport and relaxation properties of the macromolecules in solutuion.
   °    Properties of the macromolecules (with complex internal structure): effects of quantum nature.

Keywords: Brownian motion,  Brownian motors, fluctuation-dissipation theorem, Einstein law, Heisenberg motion equation, Langevine
                      equation, stochastic prossess,  Master equation