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Published August 28, 2015 | Published + Submitted
Journal Article Open

Classical Liquids in Fractal Dimension


We introduce fractal liquids by generalizing classical liquids of integer dimensions d=1,2,3 to a noninteger dimension d_l. The particles composing the liquid are fractal objects and their configuration space is also fractal, with the same 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 semianalytical 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

© 2015 American Physical Society. Received 4 May 2015; revised manuscript received 3 June 2015; published 28 August 2015. We thank Matilde Marcolli, Jürgen Horbach, Stefan U. Egelhaaf, Charles G. Slominski, Ahmad K. Omar, and Mu Wang for numerous discussions that helped us 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 postdoctoral program of the German Academic Exchange Service (DAAD).

Attached Files

Submitted - 1505.01023v3.pdf

Published - PhysRevLett.115.097801.pdf


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August 20, 2023
August 20, 2023