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Hydrodynamics without boost-invariance from kinetic theory: From perfect fluids to active flocks
Univ Philippines, Natl Inst Phys, Diliman 1101, Philippines.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark; Stockholm Univ, Nordita, Hannes Alfvens väg 12, SE-10691 Stockholm, Sweden.ORCID iD: 0000-0003-4947-8526
Leiden Univ, Inst Lorentz Theoret Phys, NL-2333 CA Leiden, Netherlands.
2025 (English)In: SciPost Physics, E-ISSN 2542-4653, Vol. 19, no 3, article id 071Article in journal (Refereed) Published
Abstract [en]

We derive the hydrodynamic equations of perfect fluids without boost invariance [J. de Boer et al., SciPost Phys. 5, 003 (2018)] from kinetic theory. Our approach is to follow the standard derivation of the Vlasov hierarchy based on an a-priori unknown collision functional satisfying certain axiomatic properties consistent with the absence of boost invariance. The kinetic theory treatment allows us to identify various transport coefficients in the hydrodynamic regime. We identify a drift term that effects a relaxation to an equilibrium where detailed balance with the environment with respect to momentum transfer is obtained. We then show how the derivative expansion of the hydrodynamics of flocks can be recovered from boost non-invariant kinetic theory and hydrodynamics. We identify how various coefficients of the former relate to a parameterization of the so-called equation of kinetic state that yields relations between different coefficients, arriving at a symmetry-based understanding as to why certain coefficients in hydrodynamic descriptions of active flocks are naturally of order one, and others, naturally small. When inter-particle forces are expressed in terms of a kinetic theory influence kernel, a coarse-graining scale and resulting derivative expansion emerge in the hydrodynamic limit, allowing us to derive diffusion terms as infrared-relevant operators distilling different parameterizations of microscopic interactions. We conclude by highlighting possible applications.

Place, publisher, year, edition, pages
Stichting SciPost , 2025. Vol. 19, no 3, article id 071
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-374566DOI: 10.21468/SciPostPhys.19.3.071ISI: 001579198700005Scopus ID: 2-s2.0-105019523902OAI: oai:DiVA.org:kth-374566DiVA, id: diva2:2023236
Note

QC 20251218

Available from: 2025-12-18 Created: 2025-12-18 Last updated: 2025-12-18Bibliographically approved

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Obers, Niels A.

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