Advanced

Tracer Particle Dynamics in Heterogeneous Many-body Systems

Fogelmark, Karl LU (2010) FYTM01 20101
Computational Biology and Biological Physics
Abstract
By use of a lattice random walk algorithm we model diffusion in a
many-body system and study the mean square displacement (MSD) for a
tagged particle for different distributions of crowding particles, with particular
emphasis on obtaining the correlation factor which contains the
corrections to the mean-field result in such a system. The MSD in such a
crowded environment is investigated and we find that the analytical correlation
factor developed by Nakazato et al.1 is not accurate for a tracer
particle that is faster than the surrounding homogeneous crowding particles.
Simulation results for the correlation factor is found for diffusion in a
heterogeneous environment, where the friction coefficients of the crowding
particles... (More)
By use of a lattice random walk algorithm we model diffusion in a
many-body system and study the mean square displacement (MSD) for a
tagged particle for different distributions of crowding particles, with particular
emphasis on obtaining the correlation factor which contains the
corrections to the mean-field result in such a system. The MSD in such a
crowded environment is investigated and we find that the analytical correlation
factor developed by Nakazato et al.1 is not accurate for a tracer
particle that is faster than the surrounding homogeneous crowding particles.
Simulation results for the correlation factor is found for diffusion in a
heterogeneous environment, where the friction coefficients of the crowding
particles were drawn from a uniform distribution, and a power-law distribution.
The simulation results can not be fitted to Nakazato’s analytical
form for the correlation factor. The MSD of a particle with the same
diffusion constant as the crowding particles is investigated for a system
where the particles have a probability, proportional to the corresponding
Boltzmann factor, to form bonds to their nearest-neighbors. The MSD
is found to be subdiffusive, and the exponent decreases
almost linearly with increasing interaction strength and is roughly
independent on the concentration of crowding particles.
Department of Astronomy and Theoretical Physics
Lund (Less)
Please use this url to cite or link to this publication:
author
Fogelmark, Karl LU
supervisor
organization
course
FYTM01 20101
year
type
H2 - Master's Degree (Two Years)
subject
language
English
id
2204918
date added to LUP
2013-01-23 23:39:16
date last changed
2017-10-06 16:51:49
@misc{2204918,
  abstract     = {By use of a lattice random walk algorithm we model diffusion in a
many-body system and study the mean square displacement (MSD) for a
tagged particle for different distributions of crowding particles, with particular
emphasis on obtaining the correlation factor which contains the
corrections to the mean-field result in such a system. The MSD in such a
crowded environment is investigated and we find that the analytical correlation
factor developed by Nakazato et al.1 is not accurate for a tracer
particle that is faster than the surrounding homogeneous crowding particles.
Simulation results for the correlation factor is found for diffusion in a
heterogeneous environment, where the friction coefficients of the crowding
particles were drawn from a uniform distribution, and a power-law distribution.
The simulation results can not be fitted to Nakazato’s analytical
form for the correlation factor. The MSD of a particle with the same
diffusion constant as the crowding particles is investigated for a system
where the particles have a probability, proportional to the corresponding
Boltzmann factor, to form bonds to their nearest-neighbors. The MSD
is found to be subdiffusive, and the exponent decreases
almost linearly with increasing interaction strength and is roughly
independent on the concentration of crowding particles.
Department of Astronomy and Theoretical Physics
Lund},
  author       = {Fogelmark, Karl},
  language     = {eng},
  note         = {Student Paper},
  title        = {Tracer Particle Dynamics in Heterogeneous Many-body Systems},
  year         = {2010},
}