Tuning nonequilibrium phase transitions with inertia
Abstract
In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite rigorously violating the fluctuation–dissipation theorem. Increasing inertia progressively eliminates motility-induced phase separation and restores equilibrium crystallization for active Brownian spheres. This effect appears to be general for a wide class of active systems, including those driven by deterministic time-dependent external fields, whose nonequilibrium patterns ultimately disappear with increasing inertia. The path to this effective equilibrium limit can be complex, with finite inertia sometimes acting to accentuate nonequilibrium transitions. The restoration of near equilibrium statistics can be understood through the conversion of active momentum sources to passive-like stresses. Unlike truly equilibrium systems, the effective temperature is now density dependent, the only remnant of the nonequilibrium dynamics. Further, this density-dependent temperature can in principle introduce departures from equilibrium expectations, particularly in response to strong gradients. Our results provide additional insight into the effective temperature ansatz while revealing a mechanism to tune nonequilibrium phase transitions.
- Authors:
-
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Univ. of California, Berkeley, CA (United States)
- California Institute of Technology (CalTech), Pasadena, 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 & Biosciences Division (CSGB); National Science Foundation (NSF); USDOE
- OSTI Identifier:
- 2229710
- Alternate Identifier(s):
- OSTI ID: 1957684
- Grant/Contract Number:
- AC02-05CH11231; CBET-1803662
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 158; Journal Issue: 7; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Phase transitions; Nonequilibrium thermodynamics; Rotational dynamics; Polarization; Gas liquid interfaces; Sphere packings; Constitutive relations; Nonequilibrium statistical mechanics; Stochastic processes
Citation Formats
Omar, Ahmad K., Klymko, Katherine, GrandPre, Trevor, Geissler, Phillip L., and Brady, John F. Tuning nonequilibrium phase transitions with inertia. United States: N. p., 2023.
Web. doi:10.1063/5.0138256.
Omar, Ahmad K., Klymko, Katherine, GrandPre, Trevor, Geissler, Phillip L., & Brady, John F. Tuning nonequilibrium phase transitions with inertia. United States. https://doi.org/10.1063/5.0138256
Omar, Ahmad K., Klymko, Katherine, GrandPre, Trevor, Geissler, Phillip L., and Brady, John F. Fri .
"Tuning nonequilibrium phase transitions with inertia". United States. https://doi.org/10.1063/5.0138256. https://www.osti.gov/servlets/purl/2229710.
@article{osti_2229710,
title = {Tuning nonequilibrium phase transitions with inertia},
author = {Omar, Ahmad K. and Klymko, Katherine and GrandPre, Trevor and Geissler, Phillip L. and Brady, John F.},
abstractNote = {In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite rigorously violating the fluctuation–dissipation theorem. Increasing inertia progressively eliminates motility-induced phase separation and restores equilibrium crystallization for active Brownian spheres. This effect appears to be general for a wide class of active systems, including those driven by deterministic time-dependent external fields, whose nonequilibrium patterns ultimately disappear with increasing inertia. The path to this effective equilibrium limit can be complex, with finite inertia sometimes acting to accentuate nonequilibrium transitions. The restoration of near equilibrium statistics can be understood through the conversion of active momentum sources to passive-like stresses. Unlike truly equilibrium systems, the effective temperature is now density dependent, the only remnant of the nonequilibrium dynamics. Further, this density-dependent temperature can in principle introduce departures from equilibrium expectations, particularly in response to strong gradients. Our results provide additional insight into the effective temperature ansatz while revealing a mechanism to tune nonequilibrium phase transitions.},
doi = {10.1063/5.0138256},
journal = {Journal of Chemical Physics},
number = 7,
volume = 158,
place = {United States},
year = {Fri Feb 17 00:00:00 EST 2023},
month = {Fri Feb 17 00:00:00 EST 2023}
}
Works referenced in this record:
Applicability of effective pair potentials for active Brownian particles
journal, September 2016
- Rein, Markus; Speck, Thomas
- The European Physical Journal E, Vol. 39, Issue 9
The force on a boundary in active matter
journal, November 2015
- Yan, Wen; Brady, John F.
- Journal of Fluid Mechanics, Vol. 785
Motility-Induced Temperature Difference in Coexisting Phases
journal, November 2019
- Mandal, Suvendu; Liebchen, Benno; Löwen, Hartmut
- Physical Review Letters, Vol. 123, Issue 22
Fluctuation-dissipation in active matter
journal, May 2019
- Burkholder, Eric W.; Brady, John F.
- The Journal of Chemical Physics, Vol. 150, Issue 18
Inertial dynamics of an active Brownian particle
journal, September 2022
- Mayer Martins, Jonas; Wittkowski, Raphael
- Physical Review E, Vol. 106, Issue 3
Hyperuniform Active Chiral Fluids with Tunable Internal Structure
journal, May 2022
- Zhang, Bo; Snezhko, Alexey
- Physical Review Letters, Vol. 128, Issue 21
Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids
journal, June 1971
- Weeks, John D.; Chandler, David; Andersen, Hans C.
- The Journal of Chemical Physics, Vol. 54, Issue 12
Freezing and phase separation of self-propelled disks
journal, January 2014
- Fily, Yaouen; Henkes, Silke; Marchetti, M. Cristina
- Soft Matter, Vol. 10, Issue 13
Acoustic trapping of active matter
journal, March 2016
- Takatori, Sho C.; De Dier, Raf; Vermant, Jan
- Nature Communications, Vol. 7, Issue 1
Chemical potential in active systems: predicting phase equilibrium from bulk equations of state?
journal, January 2018
- Paliwal, Siddharth; Rodenburg, Jeroen; van Roij, René
- New Journal of Physics, Vol. 20, Issue 1
Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995
- Plimpton, Steve
- Journal of Computational Physics, Vol. 117, Issue 1
Information transfer and behavioural inertia in starling flocks
journal, July 2014
- Attanasi, Alessandro; Cavagna, Andrea; Del Castello, Lorenzo
- Nature Physics, Vol. 10, Issue 9
Effective Temperatures in Driven Systems: Static Versus Time-Dependent Relations
journal, October 2004
- O’Hern, Corey S.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review Letters, Vol. 93, Issue 16
Hydrodynamic effects on the liquid-hexatic transition of active colloids
journal, September 2022
- Negro, G.; Caporusso, C. B.; Digregorio, P.
- The European Physical Journal E, Vol. 45, Issue 9
Interface height fluctuations and surface tension of driven liquids with time-dependent dynamics
journal, March 2019
- del Junco, Clara; Vaikuntanathan, Suriyanarayanan
- The Journal of Chemical Physics, Vol. 150, Issue 9
Hidden entropy production and work fluctuations in an ideal active gas
journal, August 2018
- Shankar, Suraj; Marchetti, M. Cristina
- Physical Review E, Vol. 98, Issue 2
Pressure, surface tension, and curvature in active systems: A touch of equilibrium
journal, May 2019
- Wittmann, René; Smallenburg, Frank; Brader, Joseph M.
- The Journal of Chemical Physics, Vol. 150, Issue 17
Inertial effects on the stress generation of active fluids
journal, September 2017
- Takatori, S. C.; Brady, J. F.
- Physical Review Fluids, Vol. 2, Issue 9
Statistical mechanics of transport processes in active fluids. II. Equations of hydrodynamics for active Brownian particles
journal, April 2019
- Epstein, Jeffrey M.; Klymko, Katherine; Mandadapu, Kranthi K.
- The Journal of Chemical Physics, Vol. 150, Issue 16
Motor-driven effective temperature and viscoelastic response of active matter
journal, June 2010
- Morozov, Konstantin I.; Pismen, Len M.
- Physical Review E, Vol. 81, Issue 6
Inertial effects of self-propelled particles: From active Brownian to active Langevin motion
journal, January 2020
- Löwen, Hartmut
- The Journal of Chemical Physics, Vol. 152, Issue 4
Jerky active matter: a phase field crystal model with translational and orientational memory
journal, June 2021
- te Vrugt, Michael; Jeggle, Julian; Wittkowski, Raphael
- New Journal of Physics, Vol. 23, Issue 6
Active Brownian particles at interfaces: An effective equilibrium approach
journal, June 2016
- Wittmann, René; Brader, Joseph M.
- EPL (Europhysics Letters), Vol. 114, Issue 6
Inertial effects on crystallization of active particles
journal, November 2021
- Liao, Jing-jing; Lin, Fu-jun; Ai, Bao-quan
- Physica A: Statistical Mechanics and its Applications, Vol. 582
Non-conservative forces and effective temperatures in active polymers
journal, January 2011
- Loi, Davide; Mossa, Stefano; Cugliandolo, Leticia F.
- Soft Matter, Vol. 7, Issue 21
Lattice Model to Derive the Fluctuating Hydrodynamics of Active Particles with Inertia
journal, November 2017
- Manacorda, A.; Puglisi, A.
- Physical Review Letters, Vol. 119, Issue 20
Motility-Induced Phase Separation
journal, March 2015
- Cates, Michael E.; Tailleur, Julien
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Self-propelled particle in an external potential: Existence of an effective temperature
journal, July 2014
- Szamel, Grzegorz
- Physical Review E, Vol. 90, Issue 1
Energy dissipation and fluctuations in a driven liquid
journal, March 2018
- del Junco, Clara; Tociu, Laura; Vaikuntanathan, Suriyanarayanan
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 14
Effective interactions in active Brownian suspensions
journal, April 2015
- Farage, T. F. F.; Krinninger, P.; Brader, J. M.
- Physical Review E, Vol. 91, Issue 4
Lamellar to Micellar Phases and Beyond: When Tactic Active Systems Admit Free Energy Functionals
journal, November 2020
- O’Byrne, J.; Tailleur, J.
- Physical Review Letters, Vol. 125, Issue 20
Statistical mechanics of powder mixtures
journal, June 1989
- Mehta, Anita; Edwards, S. F.
- Physica A: Statistical Mechanics and its Applications, Vol. 157, Issue 3
Phase Separation and Multibody Effects in Three-Dimensional Active Brownian Particles
journal, January 2021
- Turci, Francesco; Wilding, Nigel B.
- Physical Review Letters, Vol. 126, Issue 3
Inertial delay of self-propelled particles
journal, December 2018
- Scholz, Christian; Jahanshahi, Soudeh; Ldov, Anton
- Nature Communications, Vol. 9, Issue 1
Inertia Drives a Flocking Phase Transition in Viscous Active Fluids
journal, September 2021
- Chatterjee, Rayan; Rana, Navdeep; Simha, R. Aditi
- Physical Review X, Vol. 11, Issue 3
Optimizing active work: Dynamical phase transitions, collective motion, and jamming
journal, February 2019
- Nemoto, Takahiro; Fodor, Étienne; Cates, Michael E.
- Physical Review E, Vol. 99, Issue 2
Communication: Effective temperature and glassy dynamics of active matter
journal, August 2011
- Wang, Shenshen; Wolynes, Peter G.
- The Journal of Chemical Physics, Vol. 135, Issue 5
Hydrodynamics of random-organizing hyperuniform fluids
journal, October 2019
- Lei, Qun-Li; Ni, Ran
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 46
Phase Diagram of Active Brownian Spheres: Crystallization and the Metastability of Motility-Induced Phase Separation
journal, May 2021
- Omar, Ahmad K.; Klymko, Katherine; GrandPre, Trevor
- Physical Review Letters, Vol. 126, Issue 18
Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
journal, November 2017
- Wittmann, René; Maggi, C.; Sharma, A.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, Issue 11
Pressure and diffusion of active matter with inertia
journal, January 2020
- Sandoval, Mario
- Physical Review E, Vol. 101, Issue 1
How Dissipation Constrains Fluctuations in Nonequilibrium Liquids: Diffusion, Structure, and Biased Interactions
journal, November 2019
- Tociu, Laura; Fodor, Étienne; Nemoto, Takahiro
- Physical Review X, Vol. 9, Issue 4
Inertial self-propelled particles
journal, January 2021
- Caprini, Lorenzo; Marini Bettolo Marconi, Umberto
- The Journal of Chemical Physics, Vol. 154, Issue 2
Microscopic origins of the swim pressure and the anomalous surface tension of active matter
journal, January 2020
- Omar, Ahmad K.; Wang, Zhen-Gang; Brady, John F.
- Physical Review E, Vol. 101, Issue 1
Pressure and Phase Equilibria in Interacting Active Brownian Spheres
journal, May 2015
- Solon, Alexandre P.; Stenhammar, Joakim; Wittkowski, Raphael
- Physical Review Letters, Vol. 114, Issue 19
Inertial particle under active fluctuations: Diffusion and work distributions
journal, April 2022
- Goswami, Koushik
- Physical Review E, Vol. 105, Issue 4
Active brownian particles and run-and-tumble particles: A comparative study
journal, July 2015
- Solon, A. P.; Cates, M. E.; Tailleur, J.
- The European Physical Journal Special Topics, Vol. 224, Issue 7
Swim Pressure: Stress Generation in Active Matter
journal, July 2014
- Takatori, S. C.; Yan, W.; Brady, J. F.
- Physical Review Letters, Vol. 113, Issue 2
Effective Temperatures of a Driven System Near Jamming
journal, August 2002
- Ono, Ian K.; O’Hern, Corey S.; Durian, D. J.
- Physical Review Letters, Vol. 89, Issue 9
Melting Transition and Communal Entropy for Hard Spheres
journal, October 1968
- Hoover, William G.; Ree, Francis H.
- The Journal of Chemical Physics, Vol. 49, Issue 8
Anomalous thermomechanical properties of a self-propelled colloidal fluid
journal, May 2014
- Mallory, S. A.; Šarić, A.; Valeriani, C.
- Physical Review E, Vol. 89, Issue 5
Effective temperature concept evaluated in an active colloid mixture
journal, July 2017
- Han, Ming; Yan, Jing; Granick, Steve
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 29
Effective temperature of active matter
journal, May 2008
- Loi, Davide; Mossa, Stefano; Cugliandolo, Leticia F.
- Physical Review E, Vol. 77, Issue 5
Pressure is not a state function for generic active fluids
journal, June 2015
- Solon, A. P.; Fily, Y.; Baskaran, A.
- Nature Physics, Vol. 11, Issue 8
Motion of a self-propelled particle with rotational inertia
journal, January 2022
- Lisin, E. A.; Vaulina, O. S.; Lisina, I. I.
- Physical Chemistry Chemical Physics, Vol. 24, Issue 23
Van't Hoff's law for active suspensions: the role of the solvent chemical potential
journal, January 2017
- Rodenburg, Jeroen; Dijkstra, Marjolein; van Roij, René
- Soft Matter, Vol. 13, Issue 47
Phase separation and state oscillation of active inertial particles
journal, January 2020
- Dai, Chengyu; Bruss, Isaac R.; Glotzer, Sharon C.
- Soft Matter, Vol. 16, Issue 11
Entropy production fluctuations encode collective behavior in active matter
journal, January 2021
- GrandPre, Trevor; Klymko, Katherine; Mandadapu, Kranthi K.
- Physical Review E, Vol. 103, Issue 1
HOOMD-blue: A Python package for high-performance molecular dynamics and hard particle Monte Carlo simulations
journal, February 2020
- Anderson, Joshua A.; Glaser, Jens; Glotzer, Sharon C.
- Computational Materials Science, Vol. 173
Hard spheres: crystallization and glass formation
journal, December 2009
- Pusey, P. N.; Zaccarelli, E.; Valeriani, C.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 367, Issue 1909
Theory of powders
journal, June 1989
- Edwards, S. F.; Oakeshott, R. B. S.
- Physica A: Statistical Mechanics and its Applications, Vol. 157, Issue 3
Dissipation controls transport and phase transitions in active fluids: mobility, diffusion and biased ensembles
journal, January 2020
- Fodor, Étienne; Nemoto, Takahiro; Vaikuntanathan, Suriyanarayanan
- New Journal of Physics, Vol. 22, Issue 1
Time-dependent inertia of self-propelled particles: The Langevin rocket
journal, April 2021
- Sprenger, Alexander R.; Jahanshahi, Soudeh; Ivlev, Alexei V.
- Physical Review E, Vol. 103, Issue 4
Collective motion in large deviations of active particles
journal, February 2021
- Keta, Yann-Edwin; Fodor, Étienne; van Wijland, Frédéric
- Physical Review E, Vol. 103, Issue 2
Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
journal, November 2017
- Wittmann, René; Marconi, U. Marini Bettolo; Maggi, C.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, Issue 11
Lane formation in driven mixtures of oppositely charged colloids
journal, January 2011
- Vissers, Teun; Wysocki, Adam; Rex, Martin
- Soft Matter, Vol. 7, Issue 6
Inertia-induced nucleation-like motility-induced phase separation
journal, January 2021
- Su, Jie; Jiang, Huijun; Hou, Zhonghuai
- New Journal of Physics, Vol. 23, Issue 1
Current fluctuations of interacting active Brownian particles
journal, December 2018
- GrandPre, Trevor; Limmer, David T.
- Physical Review E, Vol. 98, Issue 6
Microscopic origin and macroscopic implications of lane formation in mixtures of oppositely driven particles
journal, August 2016
- Klymko, Katherine; Geissler, Phillip L.; Whitelam, Stephen
- Physical Review E, Vol. 94, Issue 2
The effective temperature
journal, November 2011
- Cugliandolo, Leticia F.
- Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 48
Time irreversibility in active matter, from micro to macro
journal, January 2022
- O’Byrne, J.; Kafri, Y.; Tailleur, J.
- Nature Reviews Physics, Vol. 4, Issue 3
Entropy Production and Fluctuation Theorems for Active Matter
journal, December 2017
- Mandal, Dibyendu; Klymko, Katherine; DeWeese, Michael R.
- Physical Review Letters, Vol. 119, Issue 25