26 research outputs found
Thermo-kinetic approach of single-particles and clusters involving anomalous diffusion under viscoelastic response
We present a thermo-kinetic description of anomalous diffusion of
single-particles and clusters in a viscoelastic medium in terms of a
non-Markovian diffusion equation involving memory functions. The scaling
behaviour of these functions is analyzed by considering hydrodynamics and
cluster-size space random walk arguments. We explain experimental results on
diffusion of Brownian particles in the cytoskeleton, in cluster-cluster
aggregation and in a suspension of micelles.Comment: To be published in the Journal of Physical Chemistry
Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity
We present a mesoscopic hydrodynamic description of the dynamics of colloidal
suspensions. We consider the system as a gas of Brownian particles suspended in
a Newtonian heat bath subjected to stationary non-equilibrium conditions
imposed by a velocity field. Using results already obtained in previous studies
in the field by means of a generalized Fokker-Planck equation, we obtain a set
of coupled differential equations for the local diffusion current and the
evolution of the total stress tensor. We find that the dynamic shear viscosity
of the system contains contributions arising from the finite size of the
particles.Comment: To appear in Physical Review
Nonextensive perfect hydrodynamics - a model of dissipative relativistic hydrodynamics?
We demonstrate that nonextensive perfect relativistic hydrodynamics
(-hydrodynamics) can serve as a model of the usual relativistic dissipative
hydrodynamics (-hydrodynamics) facilitating therefore considerably its
applications. As illustration we show how using -hydrodynamics one gets the
-dependent expressions for the dissipative entropy current and the
corresponding ratios of the bulk and shear viscosities to entropy density,
and .Comment: Invited talk presented at SigmaPhi2008 conference, Kolymbari, Crete,
14-18 July 2008, revised version to be published in Cent. Eur. J. Phys.
(2009