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Fractal Liquids

Heinen, Marco and Schnyder, Simon K. and Brady, John F. and Löwen, Hartmut (2015) Fractal Liquids. . (Submitted)

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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.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Brady, John F.0000-0001-5817-9128
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).
Funding AgencyGrant Number
European Research Council (European Union)267499
German Academic Exchange Service (DAAD)UNSPECIFIED
Classification Code:PACS: 61.20.Gy 61.20.Ja 61.43.Hv
Record Number:CaltechAUTHORS:20150713-082840560
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:58859
Deposited By: Tony Diaz
Deposited On:15 Jul 2015 00:01
Last Modified:24 Feb 2020 10:30

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