The “isothermal” compressibility of active matter

Dulaney, Austin R.; Mallory, S. A.; Brady, John F.

doi:10.1063/5.0029364

Cited by 6 publications

(2 citation statements)

References 33 publications

(55 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unsurprisingly, predictions with both methods are poor in the small-k region corresponding to the structure of the system on large length scales. Indeed, changes in structure on such length scales are connected to the compressibility of the active system, which is difficult to predict [34]. This result numerically shows that the density responses in a strongly interacting fluid are more appropriately captured by the direct correlation function.…”

Section: (A) For the Two-point Correlation H(k)mentioning

confidence: 90%

Mean-field theory for the structure of strongly interacting active liquids

Tociu,

Rassolov,

Fodor

et al. 2022

Preprint

View full text Add to dashboard Cite

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path towards this goal is to precisely predict how the structure of active systems is modified as their driving forces push them out of equilibrium. Here, we use tools from liquid-state theories to approach this challenge for a classic minimal active matter model. First, we construct a nonequilibrium mean-field framework which can predict the structure of systems of weakly interacting particles. Second, motivated by equilibrium solvation theories, we modify this theory to extend it with surprisingly high accuracy to systems of strongly interacting particles, distinguishing it from most existing similarly tractable approaches. Our results provide insight into spatial organization in strongly interacting out-of-equilibrium systems.

show abstract

Section: (A) For the Two-point Correlation H(k)mentioning

confidence: 90%

Mean-field theory for the structure of strongly interacting active liquids

Tociu,

Rassolov,

Fodor

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…However, such an interpretation loses much of its utility away from equilibrium due to the absence of any macroscopic nonequilibrium thermodynamics. Even still, recent work suggests there might be a useful thermodynamic structure, at least for spherical ABPs (43).…”

Section: Green-kubo Relationsmentioning

confidence: 99%

Nonequilibrium Green-Kubo relations for hydrodynamic transport from an equilibrium-like fluctuation-response equality

Chun,

Gao,

Horowitz

2021

Preprint

View full text Add to dashboard Cite

Near equilibrium, Green-Kubo relations provide microscopic expressions for macroscopic transport coefficients in terms of equilibrium correlation functions. At their core, they are based on the intimate relationship between response and fluctuations as embodied by the equilibrium fluctuation-dissipation theorem, a connection generically broken far from equilibrium. In this work, we identify a class of perturbations whose response around far-fromequilibrium steady states is linked to steady-state correlation functions via an equilibrium-like fluctuation-response equality. We then utilize this prediction to substantiate linearized hydrodynamic transport equations that describe how spatial inhomogeneities in macroscopic nonequilibrium systems relax. As a consequence, we derive nonequilibrium Green-Kubo relations for the transport coefficients of two types of hydrodynamic variables: local conserved densities and broken-symmetry modes. A byproduct of this work is to provide a theoretical foundation for the validity of Onsager's regression hypothesis around nonequilibrium steady states. Our predictions are analytically and numerically corroborated for two model systems: density diffusion in a fluid of soft, spherical active Brownian particles and phase diffusion in the noisy Kuramoto model on a square lattice. Green-Kubo relations | Fluctuation-dissipation theorem | Hydrodynamic transport | H.-M.C. carried out the theoretical analysis, performed simulations, wrote the manuscript; Q.G. performed simulations; and J.M.H. designed the research and wrote the manuscript.

show abstract

Mean-field theory for the structure of strongly interacting active liquids

Tociu

Rassolov

Fodor

et al. 2022

The Journal of Chemical Physics

View full text Add to dashboard Cite

Active systems, which are driven out of equilibrium by local non-conservative forces, exhibit unique behaviors and structures with potential utility for the design of novel materials. An important and difficult challenge along the path towards such a goal is to precisely predict how the structure of active systems is modified as their driving forces push them out of equilibrium. Here, we use tools from liquid-state theories to approach this challenge for a classic minimal isotropic active matter model. First, we construct a nonequilibrium mean-field framework which can predict the structure of systems of weakly interacting particles. Second, motivated by equilibrium solvation theories, we modify this theory to extend it with surprisingly high accuracy to strongly interacting particles, distinguishing it from most existing similarly tractable approaches. Our results provide insight into spatial organization in strongly interacting out-of-equilibrium systems and strategies to control them.

show abstract

The “isothermal” compressibility of active matter

Cited by 6 publications

References 33 publications

Mean-field theory for the structure of strongly interacting active liquids

Mean-field theory for the structure of strongly interacting active liquids

Nonequilibrium Green-Kubo relations for hydrodynamic transport from an equilibrium-like fluctuation-response equality

Mean-field theory for the structure of strongly interacting active liquids

Contact Info

Product

Resources

About