Space-time rescaling symmetry in the tactic migration of micrometer-size organisms
Abstract
It is observed that the Navier-Stokes rescaling invariance x-->-->λx-->, t-->λ2t, v-->-->λ-1v--> shows up in the chemotaxis of motile E. coli and the phototaxis of P. uncinatum. Quantitatively accurate measurements on other motile bacteria and blue-green algae may reveal that this underlying hydrodynamic symmetry is featured commonly in the tactic migration of micrometer-size organisms in aqueous media.
- Publication:
-
Physical Review A
- Pub Date:
- February 1983
- DOI:
- 10.1103/PhysRevA.27.1232
- Bibcode:
- 1983PhRvA..27.1232R