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Bibliographic Details
Main Authors: Amoretti, Andrea, Brattan, Daniel K., Martinoia, Luca
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.02283
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author Amoretti, Andrea
Brattan, Daniel K.
Martinoia, Luca
author_facet Amoretti, Andrea
Brattan, Daniel K.
Martinoia, Luca
contents We use advances in the formalism of boost agnostic passive fluids to constrain transport in polar active fluids, which are 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 propose a thermodynamic argument to determine the exact scalings of the transport coefficients under dynamical renormalisation group flow. These scalings perfectly agree with the results of recent state-of-the-art numerical simulation and experiments
format Preprint
id arxiv_https___arxiv_org_abs_2405_02283
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Thermodynamic constraints and exact scaling exponents of flocking matter
Amoretti, Andrea
Brattan, Daniel K.
Martinoia, Luca
Statistical Mechanics
Soft Condensed Matter
High Energy Physics - Theory
We use advances in the formalism of boost agnostic passive fluids to constrain transport in polar active fluids, which are 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 propose a thermodynamic argument to determine the exact scalings of the transport coefficients under dynamical renormalisation group flow. These scalings perfectly agree with the results of recent state-of-the-art numerical simulation and experiments
title Thermodynamic constraints and exact scaling exponents of flocking matter
topic Statistical Mechanics
Soft Condensed Matter
High Energy Physics - Theory
url https://arxiv.org/abs/2405.02283