Toward the Analysis of the Structure of Granular Materials

Authors

  • O. I. Gerasymov Odessa State Environmental University
  • A. G. Zagorodny Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • M. M. Somov Odessa State Environmental University

DOI:

https://doi.org/10.15407/ujpe58.01.0032

Keywords:

granular systems, local structure, structural transformations, order parameter, phase diagrams, anistropic phase, configurational entropy

Abstract

The structural ordering, which is observed in granular materials and some other soft-matter objects (e.g., dusty plasma) on the meso- and macroscales, has been studied using geometrical methods (Voronoi diagrams) and by analyzing the structural order parameters. The phase diagrams for the translational and orientational order parameters testify to the native anisotropic character of granular materials. The model of lattice gas entropy has been used to describe
the vertical density distribution in granular materials in a gravitational field. The obtained theoretical results agree well with experimental data and reproduce them in the nearest vicinity of the states with maximum packing.

References

<ol>
<li> H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
&nbsp;<a href="https://doi.org/10.1103/RevModPhys.68.1259">https://doi.org/10.1103/RevModPhys.68.1259</a></li>
<li> J. Duran, Sands, Powders and Grains (Springer, New York, 2000).
&nbsp;<a href="https://doi.org/10.1007/978-1-4612-0499-2">https://doi.org/10.1007/978-1-4612-0499-2</a></li>
<li> L. Kadanoff, Rev. Mod. Phys. 71, 435 (1999).
&nbsp;<a href="https://doi.org/10.1103/RevModPhys.71.435">https://doi.org/10.1103/RevModPhys.71.435</a></li>
<li> P.G. de Gennes, Rev. Mod. Phys. 71, 374 (1999).
&nbsp;<a href="https://doi.org/10.1103/RevModPhys.71.S374">https://doi.org/10.1103/RevModPhys.71.S374</a></li>
<li> P. Hartmann, A. Douglass, J.C. Reyes et al., Phys. Rev. Lett. 105, 115004 (2010).
&nbsp;<a href="https://doi.org/10.1103/PhysRevLett.105.115004">https://doi.org/10.1103/PhysRevLett.105.115004</a></li>
<li> F. Boyer and E. Falcon, Phys. Rev. Lett. 103, 144501 (2009).
&nbsp;<a href="https://doi.org/10.1103/PhysRevLett.103.144501">https://doi.org/10.1103/PhysRevLett.103.144501</a></li>
<li> A.V. Shavlov and V.A. Dzhumandzhi, Zh. ` Eksp. Teor. Fiz. 141, 288 (2012).</li>
<li> G.F. Voronoi, Collection of Papers, Vol. 2 (Academy of Sciences of the UkrSSR Publ. House, Kiev, 1952) (in Russian).</li>
<li> O.I. Gerasimov, Radiation Scattering in Statistical Systems: Solvable Models (Mayak, Odessa, 1999) (in Russian).</li>
<li> N. Vandewalle, G. Lumay, O. Gerasymov, and F. Ludewig, Eur. Phys. J. E 22, 241 (2007).
&nbsp;<a href="https://doi.org/10.1140/epje/e2007-00031-0">https://doi.org/10.1140/epje/e2007-00031-0</a></li>
<li> O.I. Gerasymov, Dopov. Nat. Akad. Nauk Ukr., No. 11, 59 (2010).</li>
<li> A. Ishihara, Statistical Physics (Academic Press, New York, 1971).</li>
<li> H. Kokstein and P.V. Quinn, Physica A 374, 1 (2007).
&nbsp;<a href="https://doi.org/10.1016/j.physa.2006.07.011">https://doi.org/10.1016/j.physa.2006.07.011</a></li>
<li> Ch. Kittel, Introduction to Solid State Physics (Wiley, New York, 1995).</li>
<li> Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1974).</li>
<li> O.I. Gerasymov, Ukr. Fiz. Zh. 55, 586 (2010).</li>
<li> A.Z. Patashinskii and V.L. Pokrovsky, Fluctuation Theory of Phase Transitions (Pergamon Press, Oxford, 1982).
</ol>

Published

2018-10-05

How to Cite

Gerasymov, O. I., Zagorodny, A. G., & Somov, M. M. (2018). Toward the Analysis of the Structure of Granular Materials. Ukrainian Journal of Physics, 58(1), 32. https://doi.org/10.15407/ujpe58.01.0032

Issue

Section

Soft matter

Most read articles by the same author(s)

<< < 1 2