Statistical mechanics of transport processes in active fluids. II. Equations of hydrodynamics for active Brownian particles
Abstract
We perform a coarse-graining analysis of the paradigmatic active matter model, active Brownian particles, yielding a continuum description in terms of balance laws for mass, linear and angular momentum, and energy. The derivation of the balance of linear momentum reveals that the active force manifests itself directly as a continuum-level body force proportional to an order parameter-like director field, which therefore requires its own evolution equation to complete the continuum description of the system. We derive this equation, demonstrating in the process that bulk currents may be sustained in homogeneous systems only in the presence of interparticle aligning interactions. Here, we perform a second coarse-graining of the balance of linear momentum and derive the expression for active or swim pressure in the case of mechanical equilibrium.
- Authors:
-
[1];
- Univ. of California, Berkeley, CA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
- OSTI Identifier:
- 1571986
- Alternate Identifier(s):
- OSTI ID: 1508684
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 150; Journal Issue: 16; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Epstein, Jeffrey M., Klymko, Katherine, and Mandadapu, Kranthi K. Statistical mechanics of transport processes in active fluids. II. Equations of hydrodynamics for active Brownian particles. United States: N. p., 2019.
Web. doi:10.1063/1.5054912.
Epstein, Jeffrey M., Klymko, Katherine, & Mandadapu, Kranthi K. Statistical mechanics of transport processes in active fluids. II. Equations of hydrodynamics for active Brownian particles. United States. https://doi.org/10.1063/1.5054912
Epstein, Jeffrey M., Klymko, Katherine, and Mandadapu, Kranthi K. Wed .
"Statistical mechanics of transport processes in active fluids. II. Equations of hydrodynamics for active Brownian particles". United States. https://doi.org/10.1063/1.5054912. https://www.osti.gov/servlets/purl/1571986.
@article{osti_1571986,
title = {Statistical mechanics of transport processes in active fluids. II. Equations of hydrodynamics for active Brownian particles},
author = {Epstein, Jeffrey M. and Klymko, Katherine and Mandadapu, Kranthi K.},
abstractNote = {We perform a coarse-graining analysis of the paradigmatic active matter model, active Brownian particles, yielding a continuum description in terms of balance laws for mass, linear and angular momentum, and energy. The derivation of the balance of linear momentum reveals that the active force manifests itself directly as a continuum-level body force proportional to an order parameter-like director field, which therefore requires its own evolution equation to complete the continuum description of the system. We derive this equation, demonstrating in the process that bulk currents may be sustained in homogeneous systems only in the presence of interparticle aligning interactions. Here, we perform a second coarse-graining of the balance of linear momentum and derive the expression for active or swim pressure in the case of mechanical equilibrium.},
doi = {10.1063/1.5054912},
journal = {Journal of Chemical Physics},
number = 16,
volume = 150,
place = {United States},
year = {Wed Apr 24 00:00:00 EDT 2019},
month = {Wed Apr 24 00:00:00 EDT 2019}
}
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Figures / Tables:
TABLE I: Balance laws and definitions of necessary fields. “Int” refers to the contribution to angular momentum from the internal spins $L_i$ while “CG” refers to the angular momentum associated with the coarse-graining volume. See the discussion of angular momentum balance in the text for definitions of $ι$, $Ω$, andmore »
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Works referencing / citing this record:
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- Wagner, Caleb G.; Hagan, Michael F.; Baskaran, Aparna
- Physical Review E, Vol. 100, Issue 4
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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.