Absorbing boundary conditions for molecular dynamics and multiscale modeling

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 14, 2007, Pages

  Namilae, S ^a   Nicholson, D M ^a   Nukala, P K V V ^a   Gao, C Y ^b   Osetsky, Y N ^a   Keffer, D J ^b  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b University of Tennessee Knoxville   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35648942772     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.144111     Document Type: Article

References (31)

1. F. Abraham, J. Broughton, N. Bernstien, and E. Kaxarias, Comput. Sci. Eng. CSENFA 1521-9615 12, 538 (2001).
2. E. B. Tadmor, R. Phillips, and M. Ortiz, Philos. Mag. A PMAADG 0141-8610 10.1080/01418619608243000 73, 1529 (1996).
3. V. B. Shenoy, R. Miller, E. B. Tadmor, D. Rodney, R. Phillips, and M. Ortiz, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/S0022-5096(98)00051-9 47, 611 (1999).
4. R. E. Rudd and J. Q. Broughton, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/(SICI)1521-3951(200001)217:1<251::AID-PSSB251>3.3.CO;2-1 217, 251 (2000).
5. G. J. Wagner and W. K. Liu, J. Comput. Phys. JCTPAH 0021-9991 10.1016/S0021-9991(03)00273-0 190, 249 (2003).
6. L. E. Shilkrot, R. E. Miller, and W. A. Curtin, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2003.09.023 52, 755 (2004).
7. D. Givoli, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91)90135-8 94, 1 (1991).
8. D. Givoli, Wave Motion WAMOD9 0165-2125 39, 219 (2004).
9. J. P. Berenger, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1994.1159 114, 185 (1994).
10. J. B. Keller and D. Givoli, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(89)90041-7 82, 172 (1989).
11. B. Engquist and A. Majda, Commun. Pure Appl. Math. CPMAMV 0010-3640 10.1002/cpa.3160320303 32, 313 (1979).
12. R. L. Higdon, Math. Comput. MCMPAF 0025-5718 10.2307/2008250 49, 65 (1987).
13. M. N. Guddati and J. L. Tassoulas, J. Comput. Acoust. JCOAEJ 0218-396X 8, 139 (2000).
14. M. N. Guddati and K. W. Lim, Int. J. Numer. Methods Eng. IJNMBH 0029-5981 10.1002/nme.1574 66, 949 (2006).
15. D. Givoli and B. Neta, J. Comput. Phys. JCTPAH 0021-9991 10.1016/S0021-9991(03)00005-6 186, 24 (2003).
16. W. Cai, M. de Koning, V. V. Bulatov, and S. Yip, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3213 85, 3213 (2000).
17. E. G. Karpov, G. J. Wagner, and W. K. Liu, Int. J. Numer. Methods Eng. IJNMBH 0029-5981 10.1002/nme.1234 62, 1250 (2005).
18. W. E and Z. Huang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 87.135501 87, 135501 (2001).
19. S. Qu, V. Shastry, W. A. Curtin, and R. E. Miller, Modell. Simul. Mater. Sci. Eng. MSMEEU 0965-0393 10.1088/0965-0393/13/7/007 13, 1101 (2005).
20. S. J. Zhou, P. S. Lomdahl, R. Thomson, and B. L. Holian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2318 76, 2318 (1996).
21. A. C. To and S. Li, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 035414 72, 035414 (2005).
22. J. Z. Yang and X. Li, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73. 224111 73, 224111 (2006).
23. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, London, 1954).
24. M. A. Collins, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(81) 80161-3 77, 342 (1981).
25. G. Friesecke and R. L. Pego, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/12/6/311 12, 1601 (1999).
26. J. H. Batteh and J. D. Powell, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.20.1398 20, 1398 (1979).
27. V. A. Tarasov, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2337852 47, 092901 (2006).
28. R. A. Johnson, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.134.A1329 134, A1329 (1964).
29. N. M. Newmark, J. Engrg. Mech. Div. JMCEA3 0044-7951 85, 67 (1959).
30. B. N. Maker, R. M. Ferencz, and J. O. Hallquist, Report No. UCRL-MA-105268, Lawrence Livermore National Laboratory, 1991.
31. V. J. van Joolen, B. Neta, and D. Givoli, Int. J. Numer. Methods Eng. IJNMBH 0029-5981 10.1002/nme.1322 63, 1041 (2005).