High intensity tapping regime in a frustrated lattice gas model of granular compaction
Tóm tắt
In the frame of a well established lattice gas model for granular compaction, we investigate the high intensity tapping regime where a pile expands significantly during external excitation. We find that this model shows the same general trends as more sophisticated models based on molecular dynamic type simulations. In particular, a minimum in packing fraction as a function of tapping strength is observed in the reversible branch of an annealed tapping protocol.
Tài liệu tham khảo
Richard P., Nicodemi M., Delannay R., Ribière P., Bideau D.: Slow relaxation and compaction of granular systems. Nat. Mater. 4, 121–128 (2005)
Nowak E.R., Knight J.B., Povinelli M.L., Jaeger H.M., Nagel S.R.: Reversibility and irreversibility in the packing of vibrated granular material. Powder Tech. 94, 79–83 (1997)
Ribière Ph., Richard P., Philippe P., Bideau D., Delannay R.: On the existence of stationary states during granular compaction. Eur. Phys. J. E. 22, 249–253 (2007)
Schröter M., Goldman D.I., Swinney H.L.: Stationary state volume fluctuations in a granular medium. Phys. Rev. E. 71, 030301(R) (2005)
Stadler P.F., Luck J.M., Mehta A.: Shaking a box of sand. Europhys. Lett. 57, 46–52 (2001)
Philippe P., Bideau D.: Numerical model for granular compaction under vertical tapping. Phys. Rev. E. 63, 051304 (2001)
Ciamarra M.P., Coniglio A., Nicodemi M.: Thermodynamics and statistical mechanics of dense granular media. Phys. Rev. Lett. 97, 158001 (2006)
Mehta A., Barker G.C.: Vibrated powders: a microscopic approach. Phys. Rev. Lett. 67, 394–397 (1991)
Nicodemi M., Coniglio A., Herrmann H.J.: The compaction in granular media and frustrated Ising models. J. Phys. A: Math. Gen. 30, L379–L385 (1997)
Nicodemi M., Coniglio A., Herrmann H.J.: Frustration and slow dynamics of granular packings. Phys. Rev. E. 55, 3962–3969 (1997)
Pugnaloni L.A., Valluzzi M.G., Valluzzi L.G.: Arching in tapped deposits of hard disks. Phys. Rev. E. 73, 051302 (2006)
Vidales A.M., Pugnaloni L.A., Ippolito I.: Pentagon deposits unpack under gentle tapping. Phys. Rev. E. 77, 051305 (2008)
Vidales A.M., Pugnaloni L.A., Ippolito I.: Compaction and arching in tapped pentagon deposits. Gran. Matt. 11, 53–61 (2009)
Pugnaloni L.A., Mizrahi M., Carlevaro C.M., Vericat F.: Nonmonotonic reversible branch in four model granular beds subjected to vertical vibration. Phys. Rev. E. 78, 051305 (2008)
Sánchez, I., et al. (unpublished)
Pugnaloni L.A., Barker G.C., Mehta A.: Multi-particle structures in non-sequentially reorganized hard sphere deposits. Adv. Complex Syst. 4, 289–297 (2001)