Magnetically controlled ballistic deposition. A model of polydisperse granular packing

Physica A: Statistical Mechanics and its Applications

Volumn 326, Issue 3-4, 2003, Pages 492-510

  Trojan, K ^a,b   Ausloos, M ^b  

^a UNIVERSITY OF WROC AW   (Poland)

^b UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Ballistic DLA; Compressibility; Density; Fractal dimension; Kinetic growth model; Magnetization; Sandpile; Susceptibility

Indexed keywords

BALLISTICS; COMPUTER SIMULATION; DIFFUSION; GROWTH KINETICS; MAGNETIZATION; SEGREGATION (METALLOGRAPHY);

TRIANGULAR LATTICE;

GRANULAR MATERIALS;

EID: 0042198820     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00276-0     Document Type: Article

References (48)

1. Herrmann H. Grains of understanding. Phys. World. 10:1997;31 Herrmann H., Luding S. Modeling granular media on the computer. Continuum Mech. Thermodyn. 10:1998;189 Herrmann H.J., Hovi J.-P., Luding S. Physics of Granular Media. 1998;Kluwer, Dordrecht.
2. Herrmann H. Grains of understanding. Phys. World. 10:1997;31 Herrmann H., Luding S. Modeling granular media on the computer. Continuum Mech. Thermodyn. 10:1998;189 Herrmann H.J., Hovi J.-P., Luding S. Physics of Granular Media. 1998;Kluwer, Dordrecht.
3. Herrmann H. Grains of understanding. Phys. World. 10:1997;31 Herrmann H., Luding S. Modeling granular media on the computer. Continuum Mech. Thermodyn. 10:1998;189 Herrmann H.J., Hovi J.-P., Luding S. Physics of Granular Media. 1998;Kluwer, Dordrecht.
4. Pandey R.B., Stauffer D., Seyfarth R., Cueva L.A., Gettrust J.F., Wood W. Density profile and flow of miscible fluid with dissimilar constituent masses. Physica A. 310:2002;325.
5. Faraudo J. New cooperative effects in ballistic deposition of hard disks. Phys. Rev. Lett. 89:2002;276 104.
6. Herrmann H.J. Geometrical cluster growth models and kinetic gelation. Phys. Rep. 136:1986;153.
7. Jullien R., Botet R. Scaling properties of the surface of the Eden model in. D = 2, 3, and 4 J. Phys. A. 18:1985;2279.
8. Witten T.A., Sander M.L. Diffusion-limited aggregation, a kinetic critical phenomenon. Phys. Rev. Lett. 47:1981;1400.
9. Zhang Z., Chen X., Lagally M.G. Bonding-geometry dependence of fractal growth on metal surfaces. Phys. Rev. Lett. 73:1994;1829.
10. 5 addition J. Mater. Res. 10:1995;268 Vandewalle N., Ausloos M., Cloots R. The kinetic growth anisotropy of the 123-(RE)BaCuO compounds. Philos. Mag. A. 72:1995;727.
11. 5 addition J. Mater. Res. 10:1995;268 Vandewalle N., Ausloos M., Cloots R. The kinetic growth anisotropy of the 123-(RE)BaCuO compounds. Philos. Mag. A. 72:1995;727.
12. Abbey H. An examination of the Reed Frost theory of epidemics. Hum. Biol. 24:1952;201.
13. Herrmann H.J., Roux S. Statistical Models for the Fracture of Disordered Media. 1990;North-Holland, Amsterdam, Ausloos M., Kowalski J.M. Stochastic models of two-dimensional fracture. Phys. Rev. B. 45(12):1992;830.
14. Herrmann H.J., Roux S. Statistical Models for the Fracture of Disordered Media. 1990;North-Holland, Amsterdam, Ausloos M., Kowalski J.M. Stochastic models of two-dimensional fracture. Phys. Rev. B. 45(12):1992;830.
15. Alonso J., Hovi J.-P., Herrmann H. A model for the calculation of the angle of repose from microscopic grain properties. Phys. Rev. E. 57:1998;672.
16. To K., Lai P.-Y., Pak H.K. Jamming of granular flow in a two-dimensional hopper. Phys. Rev. Lett. 86:2001;71 Pieret N., Mahnke R., Ausloos M., Vandewalle N. Stochastic master equation approach to aggregation in freeway traffic. Schreckenberg M., Wolf D.E. Traffic and Granular Flow 97. 1998;447-452 Springer, Singapore.
17. To K., Lai P.-Y., Pak H.K. Jamming of granular flow in a two-dimensional hopper. Phys. Rev. Lett. 86:2001;71 Pieret N., Mahnke R., Ausloos M., Vandewalle N. Stochastic master equation approach to aggregation in freeway traffic. Schreckenberg M., Wolf D.E. Traffic and Granular Flow 97. 1998;447-452 Springer, Singapore.
18. Duran J., Kolb E., Vanel L. Static friction and arch formation in granular materials. Phys. Rev. E. 58:1998;805.
19. Potts R. Some generalized order-disorder transformations. Proc. Cambridge Philos. Soc. 48:1952;106.
20. Majumdar S.N., Dean D.S. Slow relaxation in a constrained Ising spin chain. a toy model for granular compaction Phys. Rev. E. 66:2002;056 114.
21. Ausloos M., Vandewalle N., Cloots R. Magnetic kinetic growth models. Europhys. Lett. 24:1993;629 Ausloos M., Vandewalle N., Cloots R. Magnetic kinetic growth models. J. Magn. Magn. Mater. 140-144:1995;2185.
22. Ausloos M., Vandewalle N., Cloots R. Magnetic kinetic growth models. Europhys. Lett. 24:1993;629 Ausloos M., Vandewalle N., Cloots R. Magnetic kinetic growth models. J. Magn. Magn. Mater. 140-144:1995;2185.
23. Vandewalle N., Ausloos M. Magnetic diffusion-limited aggregation. Phys. Rev. E. 51:1995;597 Vandewalle N., Ausloos M. Growth models with internal competition. Acta Phys. Pol. B. 27:1996;737.
24. Vandewalle N., Ausloos M. Magnetic diffusion-limited aggregation. Phys. Rev. E. 51:1995;597 Vandewalle N., Ausloos M. Growth models with internal competition. Acta Phys. Pol. B. 27:1996;737.
25. Pastor-Satorras R., Rubi J.M. Particle-cluster aggregation with dipolar interactions. Phys. Rev. E. 51:1995;5994 Pastor-Satorras R., Rubi J.M. Ballistic adsorption of colloidal magnetic particles. Comput. Phys. Comm. 121-122:1999;265.
26. Pastor-Satorras R., Rubi J.M. Particle-cluster aggregation with dipolar interactions. Phys. Rev. E. 51:1995;5994 Pastor-Satorras R., Rubi J.M. Ballistic adsorption of colloidal magnetic particles. Comput. Phys. Comm. 121-122:1999;265.
27. de los Santos F., Tasinkevych M., Tavares J.M., Teixeira P.I.C. Deposition of magnetic particles. a computer simulation study J. Phys. C: Cond. Matter. 15:2003;1291.
28. Candia J., Albano E.V. Comparative study of an Eden model for the irreversible growth of spins and the equilibrium Ising model. Phys. Rev. E. 63:2001;066 127.
29. M. Horowitz Cl., Monetti R.A., Albano E.V. Competitive growth model involving random deposition and random deposition with surface relaxation. Phys. Rev. E. 63:2001;066 132.
30. Candia J., Albano E.V. Irreversible growth of a binary mixture confined in a thin film geometry with competing walls. Phys. Rev. Lett. 88(4):2002;016 103.
31. Mueller M., Binder K., Albano E.V. Finite size effects on the phase diagram of a binary mixture confined between competing walls. Physica A. 274:2000;188.
32. Candia J., Albano E.V. Non-equilibrium wetting transition in a magnetic Eden model. Eur. Phys. J. B. 16:2000;531.
33. Wang W., Cerdeira H.A. Kinetic growth of randomlike and ballisticlike deposition models. Phys. Rev. E. 47:1993;3357 El-Nashar H.F., Cerdeira H.A. Dynamic scaling in a ballistic deposition model for a binary system. Phys. Rev. E. 61:2000;6149 El-Nashar H.F., Wang W., Cerdeira H.A. Growth morphology for a ballistic deposition model for multiple species. Phys. Rev. E. 58:1998;4461.
34. Wang W., Cerdeira H.A. Kinetic growth of randomlike and ballisticlike deposition models. Phys. Rev. E. 47:1993;3357 El-Nashar H.F., Cerdeira H.A. Dynamic scaling in a ballistic deposition model for a binary system. Phys. Rev. E. 61:2000;6149 El-Nashar H.F., Wang W., Cerdeira H.A. Growth morphology for a ballistic deposition model for multiple species. Phys. Rev. E. 58:1998;4461.
35. Wang W., Cerdeira H.A. Kinetic growth of randomlike and ballisticlike deposition models. Phys. Rev. E. 47:1993;3357 El-Nashar H.F., Cerdeira H.A. Dynamic scaling in a ballistic deposition model for a binary system. Phys. Rev. E. 61:2000;6149 El-Nashar H.F., Wang W., Cerdeira H.A. Growth morphology for a ballistic deposition model for multiple species. Phys. Rev. E. 58:1998;4461.
36. Meakin P., Jullien R. Simple ballistic deposition models for the formation on thin films. SPIE. 48:1987;1651 Family F., Vicsek T. Scaling of the active zone in the Eden process on precolation networks and the ballistic depositon model. J. Phys. A. 18:1985;L75 Baiod R., Kessler D., Ramanlal P., Sander L., Savit R. Dynamical scaling of the surface of finite-density ballistic aggregation. Phys. Rev. A. 38:1988;3672.
37. Meakin P., Jullien R. Simple ballistic deposition models for the formation on thin films. SPIE. 48:1987;1651 Family F., Vicsek T. Scaling of the active zone in the Eden process on precolation networks and the ballistic depositon model. J. Phys. A. 18:1985;L75 Baiod R., Kessler D., Ramanlal P., Sander L., Savit R. Dynamical scaling of the surface of finite-density ballistic aggregation. Phys. Rev. A. 38:1988;3672.
38. Meakin P., Jullien R. Simple ballistic deposition models for the formation on thin films. SPIE. 48:1987;1651 Family F., Vicsek T. Scaling of the active zone in the Eden process on precolation networks and the ballistic depositon model. J. Phys. A. 18:1985;L75 Baiod R., Kessler D., Ramanlal P., Sander L., Savit R. Dynamical scaling of the surface of finite-density ballistic aggregation. Phys. Rev. A. 38:1988;3672.
39. Meakin P., Ramanlal P., Sander L.M., Ball R.C. Ballistic deposition on surfaces. Phys. Rev. A. 34:1986;5091.
40. Manna S.S. Two-state model of self-organized criticality. J. Phys. A. Math. Gen. 24:1991;L363.
41. Dickman R., Tom T., de Oliveira M.J. Sandpiles with height restrictions. Phys. Rev. E. 66:2002;016 111.
42. 4 mixtures Phys. Rev. A. 4:1971;1071.
43. Ausloos M., Clippe P., Kowalski J.M., Pekalski A. Magnetic lattice gas. Phys. Rev. A. 22:1980;2218.
44. Nicodemi M., Coniglio A., Herrmann H.J. The compaction in granular media and frustrated Ising models. J. Phys. A. Math. Gen. 30:1997;L379.
45. Arenzon J.J., Nicodemi M., Sellitto M. Equilibrium properties of the Ising frustrated lattice gas. J. Phys. I (France). 6:1996;1143.
46. Schroeder M. Fractals, Chaos and Power Laws. 1991;W.H. Freeman and Co. New York.
47. West B.J., Deering B. The Lure of Modern Science. 1995;World Scientific, Singapore.
48. Chowhan Z.T. Segregation of Particulate Solids. Pharm. Technol. 19:1995;56.