Tracer Particle Dynamics in Heterogeneous Manybody Systems
(2010) FYTM01 20101Computational Biology and Biological Physics
 Abstract
 By use of a lattice random walk algorithm we model diffusion in a
manybody 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 meanfield 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
manybody 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 meanfield 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 powerlaw 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 nearestneighbors. 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:
http://lup.lub.lu.se/studentpapers/record/2204918
 author
 Fogelmark, Karl ^{LU}
 supervisor

 Tobias Ambjörnsson ^{LU}
 organization
 course
 FYTM01 20101
 year
 2010
 type
 H2  Master's Degree (Two Years)
 subject
 language
 English
 id
 2204918
 date added to LUP
 20130123 23:39:16
 date last changed
 20171006 16:51:49
@misc{2204918, abstract = {By use of a lattice random walk algorithm we model diffusion in a manybody 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 meanfield 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 powerlaw 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 nearestneighbors. 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 Manybody Systems}, year = {2010}, }