Аннотация
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.
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