Gravitational dynamics of an infinite shuffled lattice: Particle coarse-graining, nonlinear clustering, and the continuum limit

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 1, 2007, Pages

  Baertschiger, T ^a,b   Joyce, M ^c   Gabrielli, A ^a,b   Sylos Labini, F ^b,d  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b ISC CNR   (Italy)

^c UNIVERSITÉ PARIS DIDEROT   (France)

^d MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONTINUUM DAMAGE MECHANICS; ELEMENTARY PARTICLES; GRAVITATIONAL EFFECTS; NONLINEAR ANALYSIS;

GRAVITATIONAL DYNAMICS; INFINITE SHUFFLED LATTICE; NONLINEAR CLUSTERING; PARTICLE COARSE GRAINING;

LATTICE CONSTANTS;

EID: 34547462988     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.011116     Document Type: Article

References (36)

1. T. Baertschiger, M. Joyce, A. Gabrielli, and F. Sylos Labini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.059905 75, 059905 (2007).
2. J. Cardy, in Scaling and Renormalization in Statistical Physics, Cambridge Lecture Notes in Physics (Cambridge University Press, Cambridge, England, 1996).
3. J. Gaite and A. Dominguez, J. Phys. A: Math. Theor. ZZZZZZ 1751-8113 40, 6849 (2007).
4. J. Gaite, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/S0217751X01004670 A16, 2041 (2001).
5. Y. Sota, T. Kobayashi, K. I. Maeda, T. Kurokawa, M. Morikawa, and A. Nakamichi, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.58.043502 58, 043502 (1998).
6. B. Semelin, H. J. de Vega, N. Sanchez, and F. Combes, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.59.125021 59, 125021 (1999).
7. N. V. Antonov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 161101 92, 161101 (2004).
8. P. Peebles, Astrophys. J. ASJOAB 0004-637X 10.1086/163534 297, 350 (1985).
9. P. Peebles and H. Couchman, Astrophys. J. ASJOAB 0004-637X 10.1086/305499 497, 499 (1998).
10. R. J. Splinter, A. L. Melott, S. F. Shandarin, and Y. Suto, Astrophys. J. ASJOAB 0004-637X 10.1086/305450 497, 38 (1998).
11. B. Marcos, T. Baertschiger, M. Joyce, A. Gabrielli, and F. Sylos Labini, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.73.103507 73, 103507 (2006).
12. M. Joyce, B. Marcos, A. Gabrielli, T. Baertschiger, and F. Sylos Labini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.011304 95, 011304 (2005).
13. A. Gabrielli, T. Baertschiger, M. Joyce, B. Marcos, and F. Sylos Labini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.021110 74, 021110 (2006).
14. A. Gabrielli, F. Sylos Labini, M. Joyce, and L. Pietronero, Statistical Physics for Cosmic Structures (Springer, New York, 2004).
15. T. Baertschiger and F. Sylos Labini, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.69.123001 69, 123001 (2004).
16. A. Gabrielli, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066131 70, 066131 (2004).
17. G. Efstathiou, C. S. Frenk, S. D. M. White, and M. Davis, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 235, 715 (1988).
18. P. J. E. Peebles, The Large-Scale Structure of the Universe (Princeton University Press, Princeton, NJ, 1980).
19. D. Pines, Elementary Excitations in Solids (Benjamin, New York, 1963).
20. Y. B. Zeldovich, Astron. Astrophys. AAEJAF 0004-6361 5, 84 (1970).
21. T. Buchert, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 254, 729 (1992).
22. Y. B. Zeldovich, Adv. Astron. Astrophys. AAYAAK 0065-2180 3, 241 (1965).
23. Y. Zeldovich and I. Novikov, Relativistic Astrophysics (University of Chicago Press, Chicago, 1983).
24. A. Gabrielli, M. Joyce, B. Marcos, and P. Viot, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10150-y 66, 1 (2004).
25. www.mpa-garching.mpg.de/galform/gadget/index.shtml
26. M. Joyce and B. Marcos, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.75.063516 75, 063516 (2007).
27. T. Padmanabhan, Khagol 51, 5 (2002).
28. B. Little, D. Weinberg, and C. Park, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 253, 295 (1991).
29. J. A. Peacock and S. J. Dodds, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 280, L19 (1996).
30. T. Baertschiger, M. Joyce, A. Gabrielli, and F. Sylos Labini (unpublished).
31. T. Baertschiger, M. Joyce, and F. Sylos Labini, Astrophys. J. ASJOAB 0004-637X 10.1086/346018 581, L63 (2002).
32. W. Saslaw, The Distribution of the Galaxies (Cambridge University Press, Cambridge, England, 2000).
33. W. Braun and K. Hepp, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01611497 56, 101 (1977).
34. V. Springel, Nature (London) NATUAS 0028-0836 10.1038/nature03597 435, 629 (2005).
35. Y. Jing, Y. Suto, and H. Mo, e-print arXiv:astro-ph/0610099, Astrophys. J. ASJOAB 0004-637X (to be published).
36. A. V. Maccio', A. A. Dutton, F. C. van den Bosch, B. Moore, D. Potter, J. Stadel, and J. Diemand, e-print arXiv:astro-ph/0608157, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 (to be published).