Fractal Liquids
Abstract
We introduce fractal liquids by generalizing classical liquids of integer dimensions d=1,2,3 to a fractal dimension df. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same non-integer dimension. Realizations of our generic model system include microphase separated binary liquids in porous media, and highly branched liquid droplets confined to a fractal polymer backbone in a gel. Here we study the thermodynamics and pair correlations of fractal liquids by computer simulation and semi-analytical statistical mechanics. Our results are based on a model where fractal hard spheres move on a near-critical percolating lattice cluster. The predictions of the fractal Percus-Yevick liquid integral equation compare well with our simulation results.
Additional Information
We thank Matilde Marcolli, Jürgen Horbach, Stefan U. Egelhaaf, Charles G. Slominski, Ahmad K. Omar and Mu Wang for numerous discussions that helped to develop the ideas presented here. This work was supported by the ERC Advanced Grant INTERCOCOS (Grant No. 267499) and by the graduate school POROSYS. M.H. acknowledges support by a fellowship within the Postdoc- Program of the German Academic Exchange Service (DAAD).Attached Files
Submitted - 1505.01023v1.pdf
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Additional details
- Eprint ID
- 58859
- Resolver ID
- CaltechAUTHORS:20150713-082840560
- 267499
- European Research Council (European Union)
- POROSYS
- German Academic Exchange Service (DAAD)
- Created
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2015-07-15Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field