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Nonequilibrium glassy dynamics of self-propelled hard disks
Statistical Mechanics · Submitted 2 Jul 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These results show that dense assemblies of active particles undergo a nonequilibrium glass transition which is profoundly affected by self-propulsion mechanisms.
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The abstract, sentence by sentence
We analyse the collective dynamics of self-propelled particles in the large density regime where passive particles undergo a kinetic arrest to an amorphous glassy state. We capture the competition between self-propulsion and crowding effects using a two-dimensional model of self-propelled hard disks, which we study using Monte-Carlo simulations. Although the activity drives the system far from equilibrium, self-propelled particles undergo a kinetic arrest, which we characterize in detail and compare with its equilibrium counterpart. In particular, the critical density for dynamic arrest continuously shifts to larger density with increasing activity, and the relaxation time is surprisingly well described by an algebraic divergence resulting from the emergence of highly collective dynamics. These results show that dense assemblies of active particles undergo a nonequilibrium glass transition which is profoundly affected by self-propulsion mechanisms.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyse the collective dynamics of self-propelled particles in the large density regime where passive particles undergo a kinetic arrest to an amorphous glassy state. | background 0.66 | 0.53 | 0.07 | asserted 0.93 |
| s1 | We capture the competition between self-propulsion and crowding effects using a two-dimensional model of self-propelled hard disks, which we study using Monte-Carlo simulations. | method 0.96 | 0.94 | 0.04 | asserted 0.97 |
| s2 | Although the activity drives the system far from equilibrium, self-propelled particles undergo a kinetic arrest, which we characterize in detail and compare with its equilibrium counterpart. | result 0.79 | 0.93 | 0.19 | asserted 1.00 |
| s3 | In particular, the critical density for dynamic arrest continuously shifts to larger density with increasing activity, and the relaxation time is surprisingly well described by an algebraic divergence resulting from the emergence of highly collective dynamics. | result 1.00 | 0.93 | 0.21 | asserted 1.00 |
| s4 | These results show that dense assemblies of active particles undergo a nonequilibrium glass transition which is profoundly affected by self-propulsion mechanisms. | interpretation 0.99 | 0.90 | 0.92 | asserted 1.00 |
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The paper
Original abstract
We analyse the collective dynamics of self-propelled particles in the large density regime where passive particles undergo a kinetic arrest to an amorphous glassy state. We capture the competition between self-propulsion and crowding effects using a two-dimensional model of self-propelled hard disks, which we study using Monte-Carlo simulations. Although the activity drives the system far from equilibrium, self-propelled particles undergo a kinetic arrest, which we characterize in detail and compare with its equilibrium counterpart. In particular, the critical density for dynamic arrest continuously shifts to larger density with increasing activity, and the relaxation time is surprisingly well described by an algebraic divergence resulting from the emergence of highly collective dynamics. These results show that dense assemblies of active particles undergo a nonequilibrium glass transition which is profoundly affected by self-propulsion mechanisms.
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How the literature uses it
8 arXiv papers cite this in 17 sentences
Papers citing it · 12 sentences without a confident label
Compares with it 1 paper
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From Fig. [ref], we extract the onset of a glassy state in the limit $→0$ at $ϕ_G(→0)=0.86 ±0.02$ for $ν̃_r=5×10^-4$, above the thermal $ϕ_G≈0.8$ and consistent with the value close to $ϕ_RCP$ reported by Berthier [ref] .
Freezing and phase separation of self-propelled disks · Freezing and Phase Separation Above Close Packing · 0.92
Cites it as background 3 papers
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While the existence of dynamically arrested states of active systems has been reported before [ref] , the dynamics of the freezing transition has only started to attract interest recently [ref] .
Freezing and phase separation of self-propelled disks · Freezing and Phase Separation Above Close Packing · 0.91
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At even higher densities, first steps have been taken to study glassy dynamics [ref] and crystallization [ref] .
Effective Cahn-Hilliard equation for the phase separation of active Brownian particles · Introduction · 0.94
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While few numerical [ref] and theoretical [ref] studies of this competition have appeared, we also encourage experimental work in that direction.
Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks · Summary and conclusion · 0.82
What it cites · 7 sentences without a confident label
Uses the method or tool of 1 paper
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We use off-lattice Monte-Carlo simulations to study the glassy dynamics of the model [ref] .
Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks · Introduction · 0.84
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