Nonequilibrium mode-coupling theory for dense active systems of self-propelled particles

Nandi, Saroj Kumar; Gov, Nir S.

doi:10.1039/c7sm01648d

Cited by 56 publications

(102 citation statements)

References 62 publications

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“…Physically, this is because the dynamics is driven by pairwise interactions, controlled by the inter-particle distance as it can be read directly from the kernel expressions in Eq. (21).…”

Section: Effective Stochastic Process For the Inter-particle Distancesmentioning

confidence: 99%

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Out-of-equilibrium dynamical equations of infinite-dimensional particle systems I. The isotropic case

Agoritsas¹,

Maimbourg²,

Zamponi³

2019

J. Phys. A: Math. Theor.

126

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We consider the Langevin dynamics of a many-body system of interacting particles in d dimensions, in a very general setting suitable to model several out-of-equilibrium situations, such as liquid and glass rheology, active self-propelled particles, and glassy aging dynamics. The pair interaction potential is generic, and can be chosen to model colloids, atomic liquids, and granular materials. In the limit d → ∞, we show that the dynamics can be exactly reduced to a single one-dimensional effective stochastic equation, with an effective thermal bath described by kernels that have to be determined self-consistently. We present two complementary derivations, via a dynamical cavity method and via a path-integral approach. From the effective stochastic equation, one can compute dynamical observables such as pressure, shear stress, particle mean-square displacement, and the associated response function. As an application of our results, we derive dynamically the 'state-following' equations that describe the response of a glass to quasistatic perturbations, thus bypassing the use of replicas. The article is written in a modular way, that allows the reader to skip the details of the derivations and focus on the physical setting and the main results.

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“…Physically, this is because the dynamics is driven by pairwise interactions, controlled by the inter-particle distance as it can be read directly from the kernel expressions in Eq. (21).…”

Section: Effective Stochastic Process For the Inter-particle Distancesmentioning

confidence: 99%

“…The vector P (t) is only used to compute the response function, as in Eq. (21), and otherwise set to zero.…”

Section: Effective Stochastic Process For the Inter-particle Distancesmentioning

confidence: 99%

Out-of-equilibrium dynamical equations of infinite-dimensional particle systems I. The isotropic case

Agoritsas¹,

Maimbourg²,

Zamponi³

2019

J. Phys. A: Math. Theor.

126

View full text Add to dashboard Cite

show abstract

“…For sufficiently large persistence times, it was found that the fitted MCT glass transition temperature increases monotonically with increasing persistence time, suggesting that vitrification occurs more easily as the material becomes more active. An MCT-based scaling analysis for this type of active-matter system was later performed by Nandi and Gov [165]. Feng and Hou subsequently studied a thermal version of the active Ornstein-Uhlenbeck model that also includes thermal translational noise [109].…”

Section: B Mode-coupling Theoriesmentioning

confidence: 99%

Active glasses

Janssen

2019

J. Phys.: Condens. Matter

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Active glassy matter has recently emerged as a novel class of non-equilibrium soft matter, combining energydriven, active particle movement with dense and disordered glass-like behavior. Here we review the state-ofthe-art in this field from an experimental, numerical, and theoretical perspective. We consider both non-living and living active glassy systems, and discuss how several hallmarks of glassy dynamics (dynamical slowdown, fragility, dynamical heterogeneity, violation of the Stokes-Einstein relation, and aging) are manifested in such materials. We start by reviewing the recent experimental evidence in this area of research, followed by an overview of the main numerical simulation studies and physical theories of active glassy matter. We conclude by outlining several open questions and possible directions for future work. arXiv:1906.03678v2 [cond-mat.soft] 26 Jul 2019 ture of the glassy state and the glass transition has been called "the deepest and most interesting unsolved problem in solid state theory" [32], and in 2005 the journal Science declared it one of the "most compelling puzzles and questions facing scientists today" [33]. There are several excellent reviews which detail the experimental phenomenology and current theoretical understanding of glassy materials [27,28,[34][35][36]; for the purpose of this paper, we briefly summarize the main hallmarks of vitrification below. B. Hallmarks of glassy dynamicsAmong the many complex phenomena associated with glass formation, we address five of them in this review: i) dramatic dynamical slowdown, ii) fragility, iii) dynamical heterogeneity, iv) violation of the Stokes-Einstein relation, and

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“…Inspired by these active processes, a series of simulation studies have also been performed to build models for active polymers where monomers are treated as active Brownian particles (ABP) [8][9][10][11]. However, the dynamics of passive systems in active environment exhibit even more fascinating features [12][13][14]. A representative example of such system is an eukaryotic cell where proteins are constantly driven out of equilibrium by a range of active processes in addition to thermal fluctuations from surroundings [15,16].…”

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confidence: 99%

Enhanced diffusion, swelling, and slow reconfiguration of a single chain in non-Gaussian active bath

Chaki

Chakrabarti

2019

The Journal of Chemical Physics

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A prime example of non-equilibrium or active environment is a biological cell. In order to understand in-vivo functioning of biomolecules such as proteins, chromatins, a description beyond equilibrium is absolutely necessary. In this context, biomolecules have been modeled as Rouse chains in Gaussian active bath. However, these non-equilibrium fluctuations in biological cells are non-Gaussian. This motivates us to take a Rouse chain subjected to a series of pulses of force with finite duration, mimicking run and tumble motion of a class of micro-organisms. Thus by construction, this active force is non-Gaussian. Our analytical calculations show that the mean square displacement (MSD) of center of mass (COM) grows faster and even shows superdiffusive behavior at higher activity, supporting recent experimental observation on active enzymes (A.-Y. Jee, Y.-K. Cho, S. Granick, and T. Tlusty, Proc. Natl. Acad. Sci. 115, 10812 (2018)), but chain reconfiguration is slower. The reconfiguration time of a chain with N monomers scales as N σ , where the exponent σ ≈ 2. In addition, the chain swells. We compare this activity-induced swelling with that of a Rouse chain in a Gaussian active bath. In principle, our predictions can be verified by future single molecule experiments.

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Nonequilibrium mode-coupling theory for dense active systems of self-propelled particles

Cited by 56 publications

References 62 publications

Out-of-equilibrium dynamical equations of infinite-dimensional particle systems I. The isotropic case

Out-of-equilibrium dynamical equations of infinite-dimensional particle systems I. The isotropic case

Active glasses

Enhanced diffusion, swelling, and slow reconfiguration of a single chain in non-Gaussian active bath

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