Structure and cluster formation in granular media
Tóm tắt
The two most important phenomena at the basis of granular media are excluded volume and dissipation. The former is captured by the hard sphere model and is responsible for, e.g., crystallization, the latter leads to interesting structures like clusters in non-equilibrium dynamical, freely cooling states. The freely cooling system is examined concerning the energy decay and the cluster evolution in time. Corrections for crystallization and multi-particle contacts are provided, which become more and more important with increasing density.
Tài liệu tham khảo
H J Herrmann, J-P Hovi and S Luding (eds)Physics of dry granular media — NATO ASI Series E 350 (Kluwer Academic Publishers, Dordrecht, 1998)
T Pöschel and S Luding (eds)Granular gases, Lecture Notes in Physics 564 (Springer, Berlin, 2001)
P A Vermeer, S Diebels, W Ehlers, H J Herrmann, S Luding and E Ramm (eds)Continuous and discontinuous modelling of cohesive frictional materials, Lecture Notes in Physics 568 (Springer, Berlin, 2001)
Y Kishino (ed.)Powders and Grains 2001 (Balkema, Rotterdam, 2001)
I Goldhirsch and G Zanetti,Phys. Rev. Lett. 70(11), 1619 (1993)
S Luding and H J Herrmann,Chaos 9(3), 673 (1999)
X Nie, E Ben-Naim and S Chen,Phys. Rev. Lett. 89(20), 204301 (2002)
S Miller and S Luding,Phys. Rev. E69, 031305 (2004)
N V Brilliantov, C Saluena, T Schwager and T Pöschel,Phys. Rev. Lett. 93(13), 134301 (2004)
I Goldhirsch, M-L Tan and G Zanetti,J. Sci. Comput. 8, 1 (1993)
S McNamara and W R Young,Phys. Rev. E53(5), 5089 (1996)
R Brito and M H Ernst,Europhys. Lett. 43(15), 497 (1998); cond-mat/9807224
S A Hill and G F Mazenko,Phys. Rev. E67, 061302 (2003)
B D Lubachevsky,J. Comp. Phys. 94(2), 255 (1991)
S Miller and S Luding,J. Comp. Phys. 193(1), 306 (2004)
M P Allen and D J Tildesley,Computer simulation of liquids (Oxford University Press, Oxford, 1987)
B D Lubachevsky,Int. J. Computer Simulation 2, 373 (1992)
P K Haff,J. Fluid Mech. 134, 401 (1983)
J T Jenkins and M W Richman,Phys. Fluids 28, 3485 (1985)
S Luding and S McNamara,Granular Matter 1(3), 113 (1998); cond-mat/9810009
S Luding and A Goldshtein,Granular Matter 5(3), 159 (2003)
S Luding, M Huthmann, S McNamara and A Zippelius,Phys. Rev. E58, 3416 (1998)
S Luding,Phys. Rev. E63, 042201–1–4 (2001)
S Luding,Adv. Complex Systems 4(4), 379 (2002)
S Miller,Clusterbildung in granularen Gasen, PhD thesis (Universität Stuttgart, 2004)
S Luding, E Clément, J Rajchenbach and J Duran,Europhys. Lett. 36(4), 247 (1996)
S Luding, Surface waves and pattern formation in vibrated granular media, in:Powders and Grains 97 (Balkema, Amsterdam, 1997) pp. 373–376
S Luding, E Clément, A Blumen, J Rajchenbach and J Duran,Phys. Rev. E50, 4113 (1994)
S Luding, Molecular dynamics simulations of granular materials, in: H Hinrichsen and D E Wolf (eds)The physics of granular media (Wiley VCH, Weinheim, Germany, 2004) pp. 299–324