메뉴 건너뛰기




Volumn 73, Issue 6, 2006, Pages

Hydrodynamic Lyapunov modes and strong stochasticity threshold in Fermi-Pasta-Ulam models

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; DYNAMICS; HAMILTONIANS; HYDRODYNAMICS; RANDOM PROCESSES;

EID: 33744815229     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.066201     Document Type: Article
Times cited : (13)

References (73)
  • 8
    • 0037618855 scopus 로고
    • NUCIAD 0029-6341
    • E. Fermi, Nuovo Cimento NUCIAD 0029-6341 25, 267 (1923);
    • (1923) Nuovo Cimento , vol.25 , pp. 267
    • Fermi, E.1
  • 9
    • 0043078472 scopus 로고
    • NUCIAD 0029-6341
    • E. Fermi, Nuovo Cimento NUCIAD 0029-6341 26, 105 (1923).
    • (1923) Nuovo Cimento , vol.26 , pp. 105
    • Fermi, E.1
  • 10
    • 33744785791 scopus 로고
    • LA-1940
    • E. Fermi, J. Pasta, and S. Ulam (with M. Tsingou), Los Alamos Report No. LA-1940, 1955 (unpublished)
    • (1955)
    • Fermi, E.1    Pasta, J.2    Ulam, S.3
  • 11
    • 0004211129 scopus 로고
    • edited by E. Segré (University of Chicago press, Chicago
    • in Collected Papers of Enrico Fermi, edited by, E. Segré, (University of Chicago press, Chicago, 1965), Vol. 2, p. 978.
    • (1965) Collected Papers of Enrico Fermi , vol.2 , pp. 978
  • 14
    • 0002764805 scopus 로고
    • RMSUAF 0036-0279 10.1070/rm1963v018n05ABEH004130
    • V. I. Arnold, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/ rm1963v018n05ABEH004130 18, 9 (1963).
    • (1963) Russ. Math. Surveys , vol.18 , pp. 9
    • Arnold, V.I.1
  • 17
  • 19
    • 84908024292 scopus 로고
    • RMSUAF 0036-0279 10.1070/RM1977v032n06ABEH003859
    • N. N. Nekhoroshev, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/RM1977v032n06ABEH003859 32, 1 (1977).
    • (1977) Russ. Math. Surveys , vol.32 , pp. 1
    • Nekhoroshev, N.N.1
  • 27
    • 0013087334 scopus 로고
    • PDNPDT 0167-2789 10.1016/0167-2789(89)90014-6
    • H. Kantz, Physica D PDNPDT 0167-2789 10.1016/0167-2789(89)90014-6 39, 322 (1989).
    • (1989) Physica D , vol.39 , pp. 322
    • Kantz, H.1
  • 28
    • 30344481019 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.44.975
    • M. Pettini and M. Cerruti-Sola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.975 44, 975 (1991);
    • (1991) Phys. Rev. A , vol.44 , pp. 975
    • Pettini, M.1    Cerruti-Sola, M.2
  • 29
    • 0000569924 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.41.768
    • M. Pettini and M. Landolfi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.768 41, 768 (1990).
    • (1990) Phys. Rev. A , vol.41 , pp. 768
    • Pettini, M.1    Landolfi, M.2
  • 31
    • 0037618847 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/10/5/017
    • D. L. Shepelyansky, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/10/5/ 017 10, 1331 (1997).
    • (1997) Nonlinearity , vol.10 , pp. 1331
    • Shepelyansky, D.L.1
  • 34
    • 0000565082 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(96)00293-X
    • K. Yoshimura, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00293-X 104, 148 (1997).
    • (1997) Physica D , vol.104 , pp. 148
    • Yoshimura, K.1
  • 36
    • 5544287621 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.47.828
    • M. Pettini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.828 47, 828 (1993).
    • (1993) Phys. Rev. E , vol.47 , pp. 828
    • Pettini, M.1
  • 37
    • 0000814523 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.48.4320
    • L. Casetti and M. Pettini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.4320 48, 4320 (1993).
    • (1993) Phys. Rev. E , vol.48 , pp. 4320
    • Casetti, L.1    Pettini, M.2
  • 38
    • 0000934051 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.74.375
    • L. Casetti, R. Livi, and M. Pettini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.375 74, 375 (1995).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 375
    • Casetti, L.1    Livi, R.2    Pettini, M.3
  • 39
    • 85035223464 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.54.5969
    • L. Casetti, C. Clementi, and M. Pettini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.5969 54, 5969 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 5969
    • Casetti, L.1    Clementi, C.2    Pettini, M.3
  • 40
    • 0346044201 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(00)00069-7
    • L. Casetti, M. Pettini, and E. G. D. Cohen, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00069-7 337, 237 (2000).
    • (2000) Phys. Rep. , vol.337 , pp. 237
    • Casetti, L.1    Pettini, M.2    Cohen, E.G.D.3
  • 43
    • 0034134647 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1023/A:1018679609870
    • J.-P. Eckmann and O. Gat, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1018679609870 98, 775 (2000).
    • (2000) J. Stat. Phys. , vol.98 , pp. 775
    • Eckmann, J.-P.1    Gat, O.2
  • 44
    • 0035509639 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.64.051103
    • S. McNamara and M. Mareschal, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.051103 64, 051103 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 051103
    • McNamara, S.1    Mareschal, M.2
  • 45
    • 0346895427 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2003.09.018
    • M. Mareschal and S. McNamara, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.018 187, 311 (2004).
    • (2004) Physica D , vol.187 , pp. 311
    • Mareschal, M.1    McNamara, S.2
  • 46
    • 42749100255 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.70.016207
    • A. S. de Wijn and H. van Beijeren, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.016207 70, 016207 (2004).
    • (2004) Phys. Rev. E , vol.70 , pp. 016207
    • De Wijn, A.S.1    Van Beijeren, H.2
  • 47
    • 41349088175 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.65.056202
    • T. Taniguchi and G. P. Morriss, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056202 65, 056202 (2002);
    • (2002) Phys. Rev. E , vol.65 , pp. 056202
    • Taniguchi, T.1    Morriss, G.P.2
  • 48
    • 37649032757 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.68.026218
    • T. Taniguchi and G. P. Morriss, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.026218 68, 026218 (2003);
    • (2003) Phys. Rev. E , vol.68 , pp. 026218
    • Taniguchi, T.1    Morriss, G.P.2
  • 49
    • 18144428769 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.94.154101
    • T. Taniguchi and G. P. Morriss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.154101 94, 154101 (2005).
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 154101
    • Taniguchi, T.1    Morriss, G.P.2
  • 51
    • 41349112890 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.71.036211
    • H. L. Yang and G. Radons, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036211 71, 036211 (2005).
    • (2005) Phys. Rev. E , vol.71 , pp. 036211
    • Yang, H.L.1    Radons, G.2
  • 53
    • 17444382092 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/7/1/032
    • C. Forster and H. A. Posch, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/032 7, 32 (2005).
    • (2005) New J. Phys. , vol.7 , pp. 32
    • Forster, C.1    Posch, H.A.2
  • 54
    • 32844474161 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.73.016202
    • H. L. Yang and G. Radons, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016202 73, 016202 (2006);
    • (2006) Phys. Rev. E , vol.73 , pp. 016202
    • Yang, H.L.1    Radons, G.2
  • 55
    • 32844471453 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.73.016208
    • H. L. Yang and G. Radons, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016208 73, 016208 (2006).
    • (2006) Phys. Rev. E , vol.73 , pp. 016208
    • Yang, H.L.1    Radons, G.2
  • 56
    • 33344473502 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.074101
    • H. L. Yang and G. Radons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.074101 96, 074101 (2006).
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 074101
    • Yang, H.L.1    Radons, G.2
  • 57
    • 0003544856 scopus 로고
    • Chapman and Hall, London
    • The standard RK4 algorithm is used for most results reported here. For the integration step sizes used, the Hamiltonian structure of the system dynamics is reasonably well preserved during our simulations. This fact is partially evident from the symmetry of the Lyapunov spectrum (see, e.g., Fig. 1). The simulations for the case of the FPU- β model have been checked with the symplectic version of RK4 proposed by J. M. Sanz-serva and M. P. Calvo, Numerical Hamiltonian Problems (Chapman and Hall, London, 1994).
    • (1994) Numerical Hamiltonian Problems
    • Sanz-Serva, J.M.1    Calvo, M.P.2
  • 58
    • 35949037738 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.14.2338
    • G. Benettin, L. Galgani, and J. M. Strelcyn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.14.2338 14, 2338 (1976);
    • (1976) Phys. Rev. A , vol.14 , pp. 2338
    • Benettin, G.1    Galgani, L.2    Strelcyn, J.M.3
  • 61
    • 0000672504 scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.61.1605
    • I. Shimada and T. Nagashima, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.61.1605 61, 1605 (1979).
    • (1979) Prog. Theor. Phys. , vol.61 , pp. 1605
    • Shimada, I.1    Nagashima, T.2
  • 62
    • 84956134945 scopus 로고
    • EULEEJ. 0295-5075
    • H. Chaté, Europhys. Lett. EULEEJ 0295-5075 21, 419 (1993).
    • (1993) Europhys. Lett. , vol.21 , pp. 419
    • Chaté, H.1
  • 64
    • 0002699559 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01012904
    • Y. Pomeau, A. Pumir, and P. Pelce, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01012904 37, 39 (1984);
    • (1984) J. Stat. Phys. , vol.37 , pp. 39
    • Pomeau, Y.1    Pumir, A.2    Pelce, P.3
  • 65
    • 45949128289 scopus 로고
    • PDNPDT 0167-2789 10.1016/0167-2789(86)90149-1
    • K. Kaneko, Physica D PDNPDT 0167-2789 10.1016/0167-2789(86)90149-1 23, 436 (1986).
    • (1986) Physica D , vol.23 , pp. 436
    • Kaneko, K.1
  • 66
    • 0036531865 scopus 로고    scopus 로고
    • JMLIDT 0167-7322
    • For the study of the localization of Lyapunov vectors in molecular systems, see Lj. Milanovic and H. A. Posch, J. Mol. Liq. JMLIDT 0167-7322 96-97, 221 (2002).
    • (2002) J. Mol. Liq. , vol.96-97 , pp. 221
    • Milanovic, Lj.1    Posch, H.A.2
  • 67
    • 0000097505 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/11/4/016
    • A. Pikovsky and A. Politi, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/11/4/016 11, 1049 (1998);
    • (1998) Nonlinearity , vol.11 , pp. 1049
    • Pikovsky, A.1    Politi, A.2
  • 68
    • 0035277822 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.63.036207
    • A. Pikovsky and A. Politi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.036207 63, 036207 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 036207
    • Pikovsky, A.1    Politi, A.2
  • 69
    • 0001521737 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.36.962
    • P. Butera and G. Caravati, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.962 36, 962 (1987).
    • (1987) Phys. Rev. A , vol.36 , pp. 962
    • Butera, P.1    Caravati, G.2
  • 71
    • 0001612831 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.84.2381
    • O. V. Gendelman and A. V. Savin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2381 84, 2381 (2000);
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2381
    • Gendelman, O.V.1    Savin, A.V.2
  • 72
    • 18044392720 scopus 로고    scopus 로고
    • PSOSED 1063-7834 10.1134/1.1349488
    • A. V. Savin and O. V. Gendelman, Phys. Solid State PSOSED 1063-7834 10.1134/1.1349488 43, 355 (2001).
    • (2001) Phys. Solid State , vol.43 , pp. 355
    • Savin, A.V.1    Gendelman, O.V.2
  • 73
    • 0006280709 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/19/11/012
    • See, for example, Livi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/ 11/012 19, 2033 (1986).
    • (1986) J. Phys. A , vol.19 , pp. 2033
    • Livi1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.