Journal
EUROPEAN PHYSICAL JOURNAL E
Volume 35, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1140/epje/i2012-12084-y
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Funding
- Marie Curie FP7-PEOPLE-2009-IEF program
- MIUR-FIRB project [RBFR08WDBE]
- Italian Institute of Technology under the Seed project BACT-MOBIL
- CASPUR High Performance Computing initiatives
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In this paper, we exploit an analogy of the run-and-tumble process for bacterial motility with the Lorentz model of electron conduction in order to obtain analytical results for the intermediate scattering function. This allows to obtain an analytical result for the van Hove function in real space for two-dimensional systems. We furthermore consider the 2D circling motion of bacteria close to solid boundaries with tumbling, and show that the analogy to electron conduction in a magnetic field allows to predict the effective diffusion coefficient of the bacteria. The latter is shown to be reduced by the circling motion of the bacteria.
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