Classical Liquids in Fractal Dimension
Abstract
We introduce fractal liquids by generalizing classical liquids of integer dimensions to a fractal dimension . 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.
Cite
@article{arxiv.1505.01023,
title = {Classical Liquids in Fractal Dimension},
author = {Marco Heinen and Simon K. Schnyder and John F. Brady and Hartmut Löwen},
journal= {arXiv preprint arXiv:1505.01023},
year = {2015}
}
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