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- Werner Ebeling, Frank Schweitzer:
-
Active Motion in Systems with Energy Supply
- in:
-
Integrative Systems Approaches to Natural and
Social Dynamics - System Sciences 2000
(Eds. M. Matthies, H. Malchow, J. Kriz)
Springer, Berlin 2001, pp. 119-142
- Abstract:
-
Biological motion, human traffic and many other types of active motion
rely on the supply of energy. In order to derive a rather general
approach for active motion, we have proposed a model of active Brownian
particles, which have the ability to take up energy from their
environment, to store it in an internal energy depot and to convert
internal energy to perform different activities, such as metabolism,
acceleration of motion, changes of the environment, or signal-response
behavior. The basic description is given by an extended Langevin
equation for the motion of the particles, which is coupled to a balance
equation for the internal energy depot. Different to the case of
passive Brownian motion, we find several new features of the dynamics,
such as non-equilibrium velocity distributions, uphill motion,
transitions between Brownian and directed motion, or excited collective
motion and spontaneous rotations in an ensemble of active particles.
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