Abstract:
This paper is devoted to the asymptotic analysis
of a mathematical framework that has recently
been proposed for modelling complex
systems in the applied sciences under the
action of an external force field.
This framework consists in an
integro-differential kinetic equation
coupled with a Gaussian isokinetic thermostat.
The asymptotic limit obtained here using
low-field scaling shows
the emergence of diffusive behaviour
on a macroscopic scale.
Keywords:integro-differential equation, low-field limit,
velocity-jump process, active particles, kinetic theory.