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Title: Effective temperature concept evaluated in an active colloid mixture

Abstract

Thermal energy agitates all matter, and its competition with ordering tendencies is a fundamental organizing principle in the physical world; this observation suggests that an effective temperature might emerge when external energy input enhances agitation. However, despite the repeated proposal of this concept based on kinetics for various nonequilibrium systems, the value of an effective temperature as a thermodynamic control parameter has been unclear. Here, we introduce a two-component system of driven Janus colloids, such that collisions induced by external energy sources agitate the system, and we demonstrate quantitative agreement with hallmarks of statistical thermodynamics for binary phase behavior: the archetypal phase diagram with equilibrium critical exponents, Gaussian displacement distributions, and even capillarity. The significance is to demonstrate a class of dynamical conditions under which thermodynamic analysis extends quantitatively to systems that are decidedly nonequilibrium except that the effective temperature differs from the physical temperature.

Authors:
 [1];  [2];  [3]; ORCiD logo [4]
  1. Applied Physics Graduate Program, Northwestern University, Evanston, IL 60208,
  2. Department of Materials Science and Engineering, University of Illinois, Urbana, IL 61801,
  3. Institute for Basic Science Center for Soft and Living Matter, Ulsan National Institute of Science and Technology, Ulsan 689-798, South Korea,
  4. Department of Materials Science and Engineering, Northwestern University, Evanston, IL 60208,, Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208,, Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States); Northwestern Univ., Evanston, IL (United States); Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Inst. for Basic Science (Korea, Republic of)
OSTI Identifier:
1367776
Alternate Identifier(s):
OSTI ID: 1465973
Grant/Contract Number:  
FG02-07ER46471; DMR-1121262; DMR-1610796; CBET-0853737; IBS-R020-D1
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 114 Journal Issue: 29; Journal ID: ISSN 0027-8424
Publisher:
Proceedings of the National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; active matter; colloid; temperature; thermodynamics; nonequilibrium

Citation Formats

Han, Ming, Yan, Jing, Granick, Steve, and Luijten, Erik. Effective temperature concept evaluated in an active colloid mixture. United States: N. p., 2017. Web. doi:10.1073/pnas.1706702114.
Han, Ming, Yan, Jing, Granick, Steve, & Luijten, Erik. Effective temperature concept evaluated in an active colloid mixture. United States. https://doi.org/10.1073/pnas.1706702114
Han, Ming, Yan, Jing, Granick, Steve, and Luijten, Erik. Mon . "Effective temperature concept evaluated in an active colloid mixture". United States. https://doi.org/10.1073/pnas.1706702114.
@article{osti_1367776,
title = {Effective temperature concept evaluated in an active colloid mixture},
author = {Han, Ming and Yan, Jing and Granick, Steve and Luijten, Erik},
abstractNote = {Thermal energy agitates all matter, and its competition with ordering tendencies is a fundamental organizing principle in the physical world; this observation suggests that an effective temperature might emerge when external energy input enhances agitation. However, despite the repeated proposal of this concept based on kinetics for various nonequilibrium systems, the value of an effective temperature as a thermodynamic control parameter has been unclear. Here, we introduce a two-component system of driven Janus colloids, such that collisions induced by external energy sources agitate the system, and we demonstrate quantitative agreement with hallmarks of statistical thermodynamics for binary phase behavior: the archetypal phase diagram with equilibrium critical exponents, Gaussian displacement distributions, and even capillarity. The significance is to demonstrate a class of dynamical conditions under which thermodynamic analysis extends quantitatively to systems that are decidedly nonequilibrium except that the effective temperature differs from the physical temperature.},
doi = {10.1073/pnas.1706702114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 29,
volume = 114,
place = {United States},
year = {Mon Jul 03 00:00:00 EDT 2017},
month = {Mon Jul 03 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.1706702114

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Cited by: 62 works
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