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Title: Differential Activity-Driven Instabilities in Biphasic Active Matter

Abstract

Active stresses can cause instabilities in contractile gels and living tissues. Here we provide a generic hydrodynamic theory that treats these systems as a mixture of two phases of varying activity and different mechanical properties. We find that differential activity between the phases causes a uniform mixture to undergo a demixing instability. We follow the nonlinear evolution of the instability and characterize a phase diagram of the resulting patterns. Our study complements other instability mechanisms in mixtures driven by differential adhesion, differential diffusion, differential growth, and differential motion.

Authors:
 [1];  [2];  [3]
  1. Harvard Univ., Cambridge, MA (United States). Paulson School of Engineering and Applied Sciences
  2. Harvard Univ., Cambridge, MA (United States). Paulson School of Engineering and Applied Sciences; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Mathematics Group
  3. Harvard Univ., Cambridge, MA (United States). Dept. of Physics, Dept. of Organismic and Evolutionary Biology
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1526531
Alternate Identifier(s):
OSTI ID: 1441251
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 120; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; 74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Weber, Christoph A., Rycroft, Chris H., and Mahadevan, L. Differential Activity-Driven Instabilities in Biphasic Active Matter. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.248003.
Weber, Christoph A., Rycroft, Chris H., & Mahadevan, L. Differential Activity-Driven Instabilities in Biphasic Active Matter. United States. doi:10.1103/PhysRevLett.120.248003.
Weber, Christoph A., Rycroft, Chris H., and Mahadevan, L. Fri . "Differential Activity-Driven Instabilities in Biphasic Active Matter". United States. doi:10.1103/PhysRevLett.120.248003. https://www.osti.gov/servlets/purl/1526531.
@article{osti_1526531,
title = {Differential Activity-Driven Instabilities in Biphasic Active Matter},
author = {Weber, Christoph A. and Rycroft, Chris H. and Mahadevan, L.},
abstractNote = {Active stresses can cause instabilities in contractile gels and living tissues. Here we provide a generic hydrodynamic theory that treats these systems as a mixture of two phases of varying activity and different mechanical properties. We find that differential activity between the phases causes a uniform mixture to undergo a demixing instability. We follow the nonlinear evolution of the instability and characterize a phase diagram of the resulting patterns. Our study complements other instability mechanisms in mixtures driven by differential adhesion, differential diffusion, differential growth, and differential motion.},
doi = {10.1103/PhysRevLett.120.248003},
journal = {Physical Review Letters},
number = 24,
volume = 120,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 3 works
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Figures / Tables:

FIG.1 FIG.1: (a,b) Stability diagrams as a function of volume fractionmore » $\phi$ and non-dimensional constant differential activity $\tilde{A}$ obtained from the linear stability analysis of Eqs. (3), for different choices of diffusivity (a) $\tilde{D}$ = 0 and (b) $\tilde{D}$ = 0:1. The colored regions depict $\mathfrak R$($ω$+) > 0. Red indicates an instability where ℑ ($ω$k) = 0, corresponding to exponential growth, while for dark (light) blue corresponds to ℑ($ω$k)≠ 0 for all wave numbers (for a finite band of wavenumbers). (c) Illustration of the instability mechanism driven by differential activity $A$($\phi$). Small perturbations in volume fraction, $\phi$0 $\rightarrow$ $\phi$0 +$δ$$\phi$, are amplified since differential activity causes a drift velocity v =$\dot{u}$ that points toward the maximum of a local inhomogeneity of volume fraction. To lowest order in q, this velocity (red horizontal arrows) scales as v $\propto$ $A$($\phi$)∂x$\phi$ (Eq. (5b)), further increasing the initial perturbation as indicated by vertical black lines.« less

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