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Shi, Hong-Da; Du, Lu-Chun; Huang, Fei-Jie; Guo, Wei

Collective topological active particles: non-ergodic superdiffusion and ageing in complex environments. (English) Zbl 1498.60397

Chaos Solitons Fractals 157, Article ID 111935, 7 p. (2022).

MSC:

60K50 Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
82C41 Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics

Keywords:

topological active particles; collective motion; anomalous diffusion; ergodicity breaking
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Full Text: DOI

References:

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[33] See supplemental material: movie 1 and 2 respectively are the motion of topological active particles with \(k N N\) interaction and \(V T\) interaction in \(\rho_o = 0\). Movie 3 and 4 respectively are the motion of topological active particles with \(k N N\) interaction and \(V T\) interaction in \(\rho_o = 0.5\). Movie 5 and 6 respectively are the motion of topological active particles with \(k N N\) interaction and \(V T\) interaction in \(\rho_o = 1\). Other parameters: self-propulsion speed \(v_0 = 0.1\), time step \(\Delta t = 0.1, k = 6\) and the number of active particles \(N_a = L \times L = 100\).
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