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Condensed Matter > Statistical Mechanics

Title: Thermodynamic constraints on polar active matter hydrodynamics

Abstract: In this letter we use the thermodynamics of a passive fluid to constrain transport in the corresponding active fluid which is subsequently described by the Toner-Tu equations. Acknowledging that the system fundamentally breaks boost symmetry we compel what were previously entirely phenomenological parameters in the Toner-Tu model to satisfy precise relationships among themselves. Consequently, we determine exact scalings for the transport coefficients under dynamical renormalisation group flow that reproduce the results of recent simulations.
Comments: 5.5 + 4.5 pages, no figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Soft Condensed Matter (cond-mat.soft); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2405.02283 [cond-mat.stat-mech]
  (or arXiv:2405.02283v1 [cond-mat.stat-mech] for this version)

Submission history

From: Daniel Brattan K [view email]
[v1] Fri, 3 May 2024 17:58:02 GMT (29kb,D)

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