Filling and the rate of filling of a medium of elastically coupled pores
K. Mueller-nedebock. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
The storage of guest molecules in a porous medium is investigated where the cross section of a pore can be deformed and the pore, consequently, couples elastically to neighbouring parallel pores. Examples are certain types of zeolites; some models of auxetic systems are also believed to enable variable and targeted guest size selection through such a mechanism. For a model of oblate guests in pores which deform to slits we can calculate the phase transition in the pore shape (or the occupancy) at a mean-field level. Here we present a calculation of the dynamics of guests in the medium, showing how the thermalized single-file diffusion ($łeftłeft(x(t)-x(0)\right)^2 \rightt^1/2$) becomes faster with growing occupancy of the porous medium. A functional integral treatment of the collective diffusion allows an estimation of the rate of filling of such a porous material.
%0 Book Section
%1 statphys23_0735
%A Mueller-nedebock, K.K.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K auxetic diffusion material media porous single-file statphys23 topic-6
%T Filling and the rate of filling of a medium of elastically coupled pores
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=735
%X The storage of guest molecules in a porous medium is investigated where the cross section of a pore can be deformed and the pore, consequently, couples elastically to neighbouring parallel pores. Examples are certain types of zeolites; some models of auxetic systems are also believed to enable variable and targeted guest size selection through such a mechanism. For a model of oblate guests in pores which deform to slits we can calculate the phase transition in the pore shape (or the occupancy) at a mean-field level. Here we present a calculation of the dynamics of guests in the medium, showing how the thermalized single-file diffusion ($łeftłeft(x(t)-x(0)\right)^2 \rightt^1/2$) becomes faster with growing occupancy of the porous medium. A functional integral treatment of the collective diffusion allows an estimation of the rate of filling of such a porous material.
@incollection{statphys23_0735,
abstract = {The storage of guest molecules in a porous medium is investigated where the cross section of a pore can be deformed and the pore, consequently, couples elastically to neighbouring parallel pores. Examples are certain types of zeolites; some models of auxetic systems are also believed to enable variable and targeted guest size selection through such a mechanism. For a model of oblate guests in pores which deform to slits we can calculate the phase transition in the pore shape (or the occupancy) at a mean-field level. Here we present a calculation of the dynamics of guests in the medium, showing how the thermalized single-file diffusion ($\left\langle \left(x(t)-x(0)\right)^2 \right\rangle \sim t^{1/2}$) becomes faster with growing occupancy of the porous medium. A functional integral treatment of the collective diffusion allows an estimation of the rate of filling of such a porous material.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Mueller-nedebock, K.K.},
biburl = {https://www.bibsonomy.org/bibtex/2cfb62919c205d126d96dbf5c7e1de57d/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {a2fd91927a1df3c928c2028231d3cc60},
intrahash = {cfb62919c205d126d96dbf5c7e1de57d},
keywords = {auxetic diffusion material media porous single-file statphys23 topic-6},
month = {9-13 July},
timestamp = {2007-06-20T10:16:28.000+0200},
title = {Filling and the rate of filling of a medium of elastically coupled pores},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=735},
year = 2007
}