Kinetic equations of soft active matter
DOI:
https://doi.org/10.15407/dopovidi2014.05.011Keywords:
activity, kinetic equations, soft matterAbstract
We construct a non-Markovian generalization of the kinetic equation for a system of interacting stochastic Markovian processes modeling the evolution of soft active matter. For such systems, we substantiate the kinetic equation in the mean field scaling limit and establish the property of the initial chaos to propagate in soft active matter.
Downloads
References
Marchetti M. C., Joanny J. F., Ramaswamy S. et al. Rev. Mod. Phys., 2013, 85: 1143–1195. https://doi.org/10.1103/RevModPhys.85.1143
Bellouquid A., Delitala M. Mathematical modeling of complex biological systems: a kinetic theory approach. Boston: Birkhäuser, 2006.
Lachowicz M. Links between microscopic and macroscopic descriptions. In: Multiscale Problems in the Life Sciences. From Microscopic to Macroscopic. Berlin: Springer, 2008: 201–215. https://doi.org/10.1007/978-3-540-78362-6_4
Lachowicz M. Nonlinear Analysis: Real World Applications, 2011, 12: 2396–2408. https://doi.org/10.1016/j.nonrwa.2011.02.014
Gerasimenko V. I., Fedchun Yu. Yu. J. Coupled Syst. Multiscale Dyn., 2013, 1, No. 2: 273–279. https://doi.org/10.1166/jcsmd.2013.1018
Gerasimenko V. I., Fedchun Yu. Yu. Proc. Inst. Math. NASU, 2012, 9, No. 2: 347–375.
Borgioli G., Gerasimenko V. I. Nuovo Cimento C., 2010, 33, No. 1: 71–78.
Cercignani C., Gerasimenko V. I., Petrina D. Ya. Many-particle dynamics and kinetic equations. Dordrecht: Kluwer, 1997. https://doi.org/10.1007/978-94-011-5558-8
Gerasimenko V. I., Tsvir Zh. A. A. J. Phys. A: Math. Theor., 2010, 43, No. 48: 485203. https://doi.org/10.1088/1751-8113/43/48/485203
Gerasimenko V. I., Tsvir Zh. A. Physica A: Stat. Mech. Appl., 2012, 391, No. 24: 6362–6366. https://doi.org/10.1016/j.physa.2012.07.061
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.