Local anisotropy of fluids using Minkowski tensors
Kapfer S, Mickel W, Schaller F, Spanner M, Goll C, Nogawa T, Ito N, Mecke K, Schröder-Turk G (2010)
Publication Status: Published
Publication Type: Journal article
Publication year: 2010
Journal
Publisher: IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2010/11/P11010
Abstract
Statistics of the free volume available to individual particles have previously been studied for simple and complex fluids, granular matter, amorphous solids, and structural glasses. Minkowski tensors provide a set of shape measures that are based on strong mathematical theorems and easily computed for polygonal and polyhedral bodies such as free volume cells (Voronoi cells). They characterize the local structure beyond the two-point correlation function and are suitable to define indices 0 <= beta(a,b)(v) <= 1 of local anisotropy. Here, we analyze the statistics of Minkowski tensors for configurations of simple liquid models, including the ideal gas (Poisson point process), the hard disks and hard spheres ensemble, and the Lennard-Jones fluid. We show that Minkowski tensors provide a robust characterization of local anisotropy, which ranges from beta(a,b)(v) approximate to 0.3 for vapor phases to beta(a,b)(v) -> 1 for ordered solids. We find that for fluids, local anisotropy decreases monotonically with increasing free volume and randomness of particle positions. Furthermore, the local anisotropy indices beta(a,b)(v) are sensitive to structural transitions in these simple fluids, as has been previously shown in granular systems for the transition from loose to jammed bead packs.
Authors with CRIS profile
Sebastian Kapfer
Lehrstuhl für Theoretische Physik
Fabian Schaller
Department Physik
Markus Spanner-Denzer
Lehrstuhl für Theoretische Physik
Christian Goll
Graduiertenzentrum der FAU
Klaus Mecke
Lehrstuhl für Theoretische Physik
Gerd Schröder-Turk
Lehrstuhl für Theoretische Physik
Involved external institutions
Japan (JP)How to cite
APA:
Kapfer, S., Mickel, W., Schaller, F., Spanner, M., Goll, C., Nogawa, T.,... Schröder-Turk, G. (2010). Local anisotropy of fluids using Minkowski tensors. Journal of Statistical Mechanics-Theory and Experiment. https://dx.doi.org/10.1088/1742-5468/2010/11/P11010
MLA:
Kapfer, Sebastian, et al. "Local anisotropy of fluids using Minkowski tensors." Journal of Statistical Mechanics-Theory and Experiment (2010).
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