| Issue |
EPL
Volume 128, Number 2, October 2019
|
|
|---|---|---|
| Article Number | 20001 | |
| Number of page(s) | 7 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/128/20001 | |
| Published online | 02 December 2019 | |
Colloidal chemotaxis and a biased random walk model with finite mean first-passage time
Department of Physics, Indian Institute of Science Education and Research - Bhopal, India
Received: 2 July 2019
Accepted: 16 October 2019
We introduce a power-law distance-dependent biased random walk model with a tuning parameter 
in which finite mean first-passage times are realizable if σ is less than a critical value 
. We perform numerical simulations in one dimension to obtain 
. A three-dimensional variant of this model is argued to be related to the phenomenon of chemotaxis. Diffusiophoretic theory supplemented with coarse-grained simulations for colloidal chemotaxis establish the connection with the specific value of 
as a consequence of in-built solvent diffusion.
PACS: 05.40.Fb – Random walks and Levy flights / 87.17.Jj – Cell locomotion, chemotaxis / 02.70.Ns – Molecular dynamics and particle methods
© EPLA, 2019
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