Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Poster II
DY 33.21: Poster
Donnerstag, 14. März 2013, 17:00–19:00, Poster C
Compactivity of 2D granular assemblies comprised of polygonal particles — •Volker Becker and Klaus Kassner — Institut für Theoretische Physik, Otto-von-Guericke-Universität Magdeburg, Germany
The theoretical description of granular matter is a subject of current research and scientific discussion [1]. A possible approach was proposed by S.F. Edwards [2]. The central hypothesis in Edwards’ approach is that all stable states of a granulate which occupy a specified volume are equally probable. Therefore, the volume of the granulate plays the role of the energy in conventional statistical mechanics. In this framework, an intensive parameter χ called the compactivity, is the analogue to temperature in conventional thermodynamics. One way to determine the compactivity is determining the dependency of the volume fluctuations σφ on the volume fraction φ of the assembly and using a granular version of the fluctuation dissipation theorem[3]. On the other side one can determine χ from the distribution of free volume per particle[4]. Both is following Edwards theory.We will present results of computer simulations for 2D assemblies comprised of polygonal particles and prepared by different protocols(tapping and flow pulses) [3,5]. We compare the resulting compactivities determined by using both methods.
[1] M. P. Ciamarra et. al. Soft Matter, 8, 9731 (2012) [2] Edwards et. al., Physica A 157, 1080 (1989) [3] R. Nowak et al., Phys. Rev. E 57, 1971 (1998) [4] T. Aste et. al., Eur. Phys. J. B 64, 511-517 (2008); F. Lechenault et. al., J- stat. Mech., P07009 (2006) [5] M. Schröter et. al., Phys. Rev. E, 71, 030301 (2005)