Measuring the configurational temperature of a binary disc packing.

Zhao, Song-Chuan

Schröter, Matthias

2020-02-18T21:47:21Z

2020-02-18T21:47:21Z

2014-06

2020-02-18T21:47:20Z

Jammed packings of granular materials differ from systems normally described by statistical mechanics in that they are athermal. In recent years a statistical mechanics of static granular media has emerged where the thermodynamic temperature is replaced by a configurational temperature X which describes how the number of mechanically stable configurations depends on the volume. Four different methods have been suggested to measure X. Three of them are computed from properties of the Voronoi volume distribution, the fourth takes into account the contact number and the global volume fraction. This paper answers two questions using experimental binary disc packings: first we test if the four methods to measure compactivity provide identical results when applied to the same dataset. We find that only two of the methods agree quantitatively. This implies that at least two of the four methods are wrong. Secondly, we test if X is indeed an intensive variable; this becomes true only for samples larger than roughly 200 particles. This result is shown to be due to recently measured correlations between the particle volumes [Zhao et al., Europhys. Lett., 2012, 97, 34004].

1744-683X

1744-6848

https://hdl.handle.net/10161/20166

eng

Royal Society of Chemistry (RSC)

Soft matter

10.1039/c3sm53176g

Science & Technology

Physical Sciences

Technology

Chemistry, Physical

Materials Science, Multidisciplinary

Physics, Multidisciplinary

Polymer Science

Chemistry

Materials Science

Physics

STATISTICAL-MECHANICS

ENTROPY

Measuring the configurational temperature of a binary disc packing.

Journal article

Schroter, Matthias|0000-0002-8332-5585

4208

4216

23

Trinity College of Arts & Sciences

Duke

Published

10