%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 }