Active Motion in Systems with Energy Supply

Ébeling, W.; Schweitzer, Frank

doi:10.1007/978-3-642-56585-4_9

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The Dynamics Of Self-confined Swarms Of Active Brownian Part3

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2002

2003

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Cited by 2 publications

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“…The collective motion of more complex N -particle systems (swarms) was studied already in a series of papers by Vicsek et al based on a spin glass model in the velocity space [1,4]. First studies of the dynamics of harmonic swarms of driven Brownian particles were reported recently [20,27]. The dynamics of clusters of active particles with Morse interactions was studied first in [26].…”

Section: The Dynamics Of Self-confined Swarms Of Active Brownian Partmentioning

confidence: 99%

Nonequilibrium statistical mechanics of swarms of driven particles

Ébeling

2002

Physica A: Statistical Mechanics and its Applications

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Section: The Dynamics Of Self-confined Swarms Of Active Brownian Partmentioning

confidence: 99%

Nonequilibrium statistical mechanics of swarms of driven particles

Ébeling

2002

Physica A: Statistical Mechanics and its Applications

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“…The tensor depends on the parameters of the force and on the shape of the swarm. In this linear approximation the Langevin equation for an individual Brownian particle in a N -particle system bears some similarity to the parabolic case studied earlier [20,27]:…”

Section: The Dynamics Of Self-confined Swarms Of Active Brownian Partmentioning

confidence: 99%

“…First studies of the dynamics of harmonic swarms of driven Brownian particles were reported recently [20,27]. The dynamics of clusters of active particles with Morse interactions was studied first in [26].…”

Section: The Dynamics Of Self-confined Swarms Of Active Brownian Partmentioning

confidence: 99%

Nonequilibrium statistical mechanics of swarms of driven particles

Ébeling

Erdmann

2003

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As a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self-propelled particles. Our approach is closely related to the recently developed theory of active Brownian motion and the theory of canonicaldissipative systems. Free motion and motion of a swarms confined in an external field is studied. Briefly the case of particles confined on a ring and interacting by repulsive forces is studied. In more detail we investigate self-confinement by Morse-type attracting forces. We begin with pairs N = 2; the attractors and distribution functions are discussed, then the case N > 2 is discussed. Simulations for several dynamical modes of swarms of active Brownian particles interacting by Morse forces are presented. In particular we study rotations, drift, fluctuations of shape and cluster formation.

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Active Motion in Systems with Energy Supply

Cited by 2 publications

References 39 publications

Nonequilibrium statistical mechanics of swarms of driven particles

Nonequilibrium statistical mechanics of swarms of driven particles

Nonequilibrium statistical mechanics of swarms of driven particles

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