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Immunophysics

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Publications Immunophysics Division

2006

Free cooling of the one-dimensional wet granular gas

Vasily Zaburdaev, M. Brinkmann, S. Herminghaus

Physical Review Letters 97 (1) 018001 (2006) | Journal

The free cooling behavior of a wet granular gas is studied in one dimension. We employ a particularly simple model system in which the interaction of wet grains is characterized by a fixed energy loss assigned to each collision. Macroscopic laws of energy dissipation and cluster formation are studied on the basis of numerical simulations and mean-field analytical calculations. We find a number of remarkable scaling properties which may shed light on earlier unexplained results for related systems.

Random walk model with waiting times depending on the preceding jump length

Vasily Zaburdaev

Journal of Statistical Physics 123 (4) 871-881 (2006) | Journal

In the present paper, the generalized continuous time random walk model with a coupled transition kernel is considered. The coupling occurs through the dependence of the waiting time probability distribution on the preceding jump length. For the description of this model, a method is suggested that includes the details of the microscopic distribution over the waiting times and arrival distances at a given point. A close analogy to the problem of a random walk with finite velocity is demonstrated for the particular case of coupling, when a waiting time is a simple function of a preceding jump length. With its help an analytical solution for the generalized random walk model is found, including both effects ( finite velocity and jump dependent waiting times) simultaneously.

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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