Abstract:
This thesis describes a coarse grained multi-scale simulation technique to
study the dynamics of a polymer suspended in fluid bounded by two fluctuating
surfaces. In our study, these two surfaces are represented as membrane
with stochastic height undulations. First, the simulation model of individual
components, the membrane, the fluid and the polymer were implemented
and validated by observing their characteristic physical properties. Then
they were coupled to each other taking into account the interaction between
each individual component. The fluctuation spectrum S(q) of a membrane
in the absence and in the presence of a confined fluid was obtained; S(q)
follows a q^(-4) dependence in the small q regime for both cases. The mean
square displacement and end-to-end vector correlation were calculated for
the polymer coupled to the fluid. The diffusion of polymer with D proportional to t was
observed for long time scales.
This thesis primarily focuses on the development and implementation of the
simulation scheme. The next step (work in progress) is obviously to do a
detailed study of the three component system in the immediate future.
