Active nematics on a substrate: Giant number fluctuations and long-time tails

Europhysics Letters

Volumn 62, Issue 2, 2003, Pages 196-202

  Ramaswamy, S ^a   Simha, R Aditi ^a,c   Toner, J ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b UNIVERSITY OF OREGON   (United States)

^c MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037396072     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00346-7     Document Type: Article

References (35)

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31. One could, more generally, consider terms involving higher powers of Q; however, once fluctuations in the amplitude S are neglected, all position-dependent pieces of such terms are proportional to nn, as is already true of the term linear in Q. Hence, adding such higher powers of Q to σ has no effect on the final form of the equations of motion in the nematic state, but rather, only changes the values of some phenomenological parameters. Thus our model already describes all active nematics on a substrate.
32. SIMHA R. A. and RAMASWAMY S., in preparation.
33. T here to generalize the model to systems in d > 2, such as those mentioned in [8].
34. For any d > 2, the long-time tails are integrable so that the assumption of simple diffusive behavior for R(t) is self-consistent. In d = 2, the tails and the diffusivities will acquire logarithmic corrections.
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