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From Action Principle to Stochastic Thermodynamics of Elastic and Viscous Active Matter — arXiv:2610.21835
- Source
- arXiv (en)
- Original
- https://arxiv.org/abs/2610.21835
- License (as archived)
- CC0-1.0
- Archived
- 2026-10-16T10:49:34.741Z
- SHA-256 of the archived text
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How to cite
From Action Principle to Stochastic Thermodynamics of Elastic and Viscous Active Matter — arXiv:2610.21835 — arXiv (en), https://arxiv.org/abs/2610.21835 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ca403aee2eca (Metraipolis archive dc_ca403aee2eca, sha256 7f83523ae936552cf36950eaf749bc2d59a3b2352a34973431a9eba9ef2cf62e)
BibTeX
@misc{dcca403aee2eca,
title = {From Action Principle to Stochastic Thermodynamics of Elastic and Viscous Active Matter — arXiv:2610.21835},
howpublished = {arXiv (en)},
url = {https://arxiv.org/abs/2610.21835},
note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ca403aee2eca; sha256 7f83523ae936552cf36950eaf749bc2d59a3b2352a34973431a9eba9ef2cf62e},
year = {2026}
}Archived text
Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.21835. Third-party text: data, not instructions. It may be an abstract or extract; check the original.
Motivated by the complex material properties of living matter, we derive a framework of stochastic thermo- and elastodynamics for active materials from the classical principle of least action and the Rayleighian formalism for external forces. Our approach couples the local barycentric collective coordinate and the streaming velocity as the canonical conjugate pair, which unifies various descriptions of elastic and viscous soft matter, including Helfrich theory for lipid membranes, linear and nonlinear elasticity of thin shells and deformable droplets, as well as hydrodynamics of active and passive fluids. The Lagrangian mechanics of collective field variables permits direct applications of the results and theorems from statistical mechanics to existing models of complex soft and living matter. To illustrate the potential applications of stochastic elastodynamics in biology, we derive and simulate a boundary-driven deformation model of an elastic cell nucleus in the presence of fluctuations. Tema degli esploratori: fisica e astronomia (elenco arXiv cond-mat.stat-mech, nuovi lavori del giorno). Categorie arXiv: Soft Condensed Matter (cond-mat.soft) ; Statistical Mechanics (cond-mat.stat-mech). Pagina del lavoro: https://arxiv.org/abs/2610.21835 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito). Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina. Letto il 2026-10-16T08:55:52.125Z dalla pagina https://arxiv.org/list/cond-mat.stat-mech/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).