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Title: Effective temperature concept evaluated in an active colloid mixture

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. Northwestern Univ., Evanston, IL (United States). Applied Physics Graduate Program
  2. Univ. of Illinois, Urbana, IL (United States). Dept. of Materials Science and Engineering
  3. Ulsan National Inst. of Science and Technology (UNIST) (Korea, Republic of). Inst. for Basic Science Center for Soft and Living Matter
  4. Northwestern Univ., Evanston, IL (United States). Dept. of Materials Science and Engineering. Dept. of Engineering Sciences and Applied Mathematics. Dept. of Physics and Astronomy
Publication Date:
Grant/Contract Number:
FG02-07ER46471; DMR-1121262; DMR-1610796; CBET-0853737; IBS-R020-D1
Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 114; Journal Issue: 29; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
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) (SC-22); National Science Foundation (NSF); Inst. for Basic Science (Korea, Republic of)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; active matter; colloid; temperature; thermodynamics; nonequilibrium
OSTI Identifier:
1367776
Alternate Identifier(s):
OSTI ID: 1465973

Han, Ming, Yan, Jing, Granick, Steve, and Luijten, Erik. Effective temperature concept evaluated in an active colloid mixture. United States: N. p., 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. doi:10.1073/pnas.1706702114.
Han, Ming, Yan, Jing, Granick, Steve, and Luijten, Erik. 2017. "Effective temperature concept evaluated in an active colloid mixture". United States. doi: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 = {2017},
month = {7}
}