[en] We study the effect of freeze-thaw cycling on the packing fraction of equal spheres immersed in water. The water located between the grains experiences a dilatation during freezing and a contraction during melting. After several cycles, the packing fraction converges to a particular value η∞ = 0.595 independently of its initial value η0. This behavior is well reproduced by numerical simulations. Moreover, the numerical results allow one to analyze the packing structural configuration. With a Vorono ̈ı partition analysis, we show that the piles are fully random during the whole process and are characterized by two parameters: the average Vorono ̈ı volume μv (related to the packing fractionη)andthestandarddeviationσv ofVorono ̈ıvolumes.Thefreeze-thawdrivingmodifythevolumestandard deviation σv to converge to a particular disordered state with a packing fraction corresponding to the random loose packing fraction ηBRLP obtained by Bernal during his pioneering experimental work. Therefore, freeze-thaw cycling is found to be a soft and spatially homogeneous driving method for disordered granular materials.
Disciplines :
Physique
Auteur, co-auteur :
Ludewig, François ; Université de Liège > Département de physique > Physique statistique
Vandewalle, Nicolas ; Université de Liège > Département de physique > Physique statistique
Dorbolo, Stéphane ; Université de Liège > Département de physique > Physique statistique
Pakpour, Maryam ; Université de Liège > Département de physique > Physique expér. de la matière molle et des syst. complexes
Lumay, Geoffroy ; Université de Liège > Département de physique > Physique expér. de la matière molle et des syst. complexes
Langue du document :
Anglais
Titre :
Bernal random loose packing through freeze-thaw cycling
Date de publication/diffusion :
2015
Titre du périodique :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1539-3755
eISSN :
1550-2376
Maison d'édition :
American Physical Society, College Park, Etats-Unis - Maryland
T. Hales, Ann. Math. 162, 1065 (2005). ANMAAH 0003-486X 10.4007/annals.2005.162.1065
J. D. Bernal and J. Mason, Nature (London) 188, 910 (1960). NATUAS 0028-0836 10.1038/188910a0
M. Schröter, D. I. Goldman, and H. L. Swinney, Phys. Rev. E 71, 030301 (R) (2005). 10.1103/PhysRevE.71.030301
G. Y. Onoda and E. G. Liniger, Phys. Rev. Lett. 64, 2727 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.64.2727
C. Song, P. Wang, and H. A. Makse, Nature (London) 453, 629 (2008). NATUAS 0028-0836 10.1038/nature06981
T. Aste and T. Di Matteo, Eur. Phys. J. B 64, 511 (2008). EPJBFY 1434-6028 10.1140/epjb/e2008-00224-8
Z. A. Tian, K. J. Dong, and A. B. Yu, Phys. Rev. E 89, 032202 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89.032202
M. A. Klatt and S. Torquato, Phys. Rev. E 90, 052120 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.90.052120
S. Atkinson, F. H. Stillinger, and S. Torquato, Phys. Rev. E 88, 062208 (2013) PLEEE8 1539-3755 10.1103/PhysRevE.88.062208.
E. I. Corwin, H. M. Jaeger, and S. R. Nagel, Nature (London) 435, 1075 (2005). NATUAS 0028-0836 10.1038/nature03698
A. Donev, I. Cisse, D. Sachs, E. A. Variano, F. H. Stillinger, R. Connelly, S. Torquato, and P. M. Chaikin, Science 303, 990 (2004). SCIEAS 0036-8075 10.1126/science.1093010
S. Farhadi and R. P. Behringer, Phys. Rev. Lett. 112, 148301 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.148301
E. R. Nowak, J. B. Knight, E. Ben-Naim, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 57, 1971 (1998). 1063-651X 10.1103/PhysRevE.57.1971
P. Richard, M. Nicodemi, R. Delannay, P. Ribière, and D. Bideau, Nat. Mater. 4, 121 (2005). 1476-1122 10.1038/nmat1300
G. Lumay and N. Vandewalle, Phys. Rev. Lett. 95, 028002 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.028002
O. Pouliquen, M. Belzons, and M. Nicolas, Phys. Rev. Lett. 91, 014301 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.014301
G. Lumay and N. Vandewalle, New J. Phys. 9, 406 (2007). NJOPFM 1367-2630 10.1088/1367-2630/9/11/406
K. Chen, J. Cole, C. Conger, J. Draskovic, M. Lohr, K. Klein, T. Scheidemantel, and P. Schiffer, Nature (London) 442, 257 (2006). NATUAS 0028-0836 10.1038/442257a
B. Blanc and J.-C. Géminard, Phys. Rev. E 88, 022201 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.022201
B. Percier, T. Divoux, and N. Taberlet, Europhys. Lett. 104, 24001 (2013). EULEEJ 0295-5075 10.1209/0295-5075/104/24001
R. W. Style, S. S. L. Peppin, A. C. F. Cocks, and J. S. Wettlaufer, Phys. Rev. E 84, 041402 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.041402
T. Saruya, K. Kurita, and A. W. Rempel, Phys. Rev. E 87, 032404 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.032404
