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Publications Immunophysics Division

2005

Theory of heat transport in a magnetized high-temperature plasma

Vasily Zaburdaev

Plasma Physics Reports 31 (12) 1071-1077 (2005) | Journal

The transport of charged particles across a strong magnetic field with a small random component is studied in the double diffusion approximation. It is shown that the density of the particles whose initial distribution is stretched along the field satisfies a subdiffusion equation with fractional derivatives. A more general initial particle distribution is also considered, and the applicability of the solutions obtained is discussed. (c) 2005 Pleiades Publishing, Inc.

Kolmogorov-Sinai entropy of the dilute wet granular gas

A Fingerle, S Herminghaus, Vasily Zaburdaev

Physical Review Letters 95 (19) 198001 (2005) | Journal

We present an analytical expression for the Kolmogorov-Sinai entropy of a wet granular gas. The influence of the liquid is modeled by a hysteretic interaction force. For the dilute limit (two-particle collisions only), we find a simple expression accounting for the contribution of both the scattering states and the bound states in arbitrary dimensions. It is shown that the system is significantly more chaotic than a gas of (dry) hard spheres, as reflected by a pronounced increase of the Kolmogorov-Sinai entropy.

'Hermite' states in the quantum interaction of vortices

Vasily Zaburdaev, AS Romanov, KV Chukbar

Physics-Uspekhi 48 (8) 841-846 (2005) | Journal

Quantum effects in the dynamics of a pair of monopolar vortices, arbitrary in their nature, are described in both the Heisenberg and Schrodinger languages. This system proves to be very closely and universally related to a linear quantum oscillator, which allows us to call it a 'Hermite' system, in regard to the eigenfunctions of such an oscillator.

Subdiffusion in random compressible flows

K Chukbar, Vasily Zaburdaev

Physical Review E 71 (6) 061105 (2005) | Journal

In this work, we study the diffusion of admixture particles in a one-dimensional velocity field given by a gradient of a random potential. This refers us to the case of random compressible flows, where previously only scaling estimates were available. We develop a general approach which allows to solve this problem analytically. With its help we derive the macroscopic transport equation and rigorously show in which cases transport can be subdiffusive. We find the Fourier-Laplace transform of the Green's function of this equation and prove that for some potential distributions it satisfies the subdiffusive equation with fractional derivative with respect to time.

Contact

Immunophysics Division
Prof. Vasily Zaburdaev
Principal Investigator

Max-Planck-Zentrum für Physik und Medizin
Kussmaulallee 2
Room 02.116
91054 Erlangen, Germany
+49 9131 8284 102

vasily.zaburdaev@mpzpm.mpg.de

Silke Besold

Secretary

Friedrich-Alexander-Universität Erlangen-Nürnberg
Chair of Mathematics in Life Sciences
Kussmaulallee 2
Room 02.122
91054 Erlangen, Germany
+49 9131 8284 104

silke.besold@fau.de

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