메뉴 건너뛰기




Volumn 264, Issue 2, 2006, Pages 539-561

On metastability in FPU

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33645995435     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-005-1488-1     Document Type: Article
Times cited : (112)

References (40)
  • 1
    • 0040531568 scopus 로고    scopus 로고
    • Nekhoroshev theorem for small amplitude solution sin nonlinear Schrödinger equation
    • Bambusi, D.: Nekhoroshev theorem for small amplitude solution sin nonlinear Schrödinger equation. Math. Z. 130, 345-387 (1999)
    • (1999) Math. Z. , vol.130 , pp. 345-387
    • Bambusi, D.1
  • 2
    • 0344197690 scopus 로고    scopus 로고
    • An averaging theorem for quasilinear Hamiltonian PDEs
    • Bambusi, D.: An averaging theorem for quasilinear Hamiltonian PDEs. Ann. Henri Poincaré 4, 685-712 (2003)
    • (2003) Ann. Henri Poincaré , vol.4 , pp. 685-712
    • Bambusi, D.1
  • 4
    • 0041970939 scopus 로고    scopus 로고
    • The nonlinear Schrødinger equation as a resonant normal form
    • Bambusi, D., Carati, A., Ponno, A.: The nonlinear Schrødinger equation as a resonant normal form. DCDS-B 2, 109-128 (2002)
    • (2002) DCDS-B , vol.2 , pp. 109-128
    • Bambusi, D.1    Carati, A.2    Ponno, A.3
  • 5
    • 13244295528 scopus 로고    scopus 로고
    • Localization of energy in FPU chains
    • Berchialla, L., Galgani, L., Giorgilli, A.: Localization of energy in FPU chains. DCDS-A11, 855-866 (2005)
    • (2005) DCDS-A , vol.11 , pp. 855-866
    • Berchialla, L.1    Galgani, L.2    Giorgilli, A.3
  • 6
    • 1042301145 scopus 로고    scopus 로고
    • Exponentially long times to equipartition in the thermodynamic limit
    • Berchialla, L., Giorgilli, A., Paleari, S.: Exponentially long times to equipartition in the thermodynamic limit. Phys. Lett. A 321, 167-172 (2004)
    • (2004) Phys. Lett. A , vol.321 , pp. 167-172
    • Berchialla, L.1    Giorgilli, A.2    Paleari, S.3
  • 7
    • 67650721856 scopus 로고    scopus 로고
    • Stages of energy transfer in the FPU model. Dynamical systems and differential equations (Wilmington NC 2002)
    • Biello, J.A., Kramer, PR., LvovD, Y.V.: Stages of energy transfer in the FPU model. Dynamical systems and differential equations (Wilmington NC 2002). DCDS Suppl., 113-122 (2003)
    • (2003) DCDS , Issue.SUPPL. , pp. 113-122
    • Biello, J.A.1    Kramer, P.R.2    Lvovd, Y.V.3
  • 8
    • 0003078970 scopus 로고    scopus 로고
    • A property of exponential stability in the nonlinear wave equation close to main linear mode
    • Bambusi, D., Nekhoroshev, N.N.: A property of exponential stability in the nonlinear wave equation close to main linear mode. Physica D 122, 73-104 (1998)
    • (1998) Physica D , vol.122 , pp. 73-104
    • Bambusi, D.1    Nekhoroshev, N.N.2
  • 9
    • 0033089830 scopus 로고    scopus 로고
    • On the specific heat of FPU systems and their glassy behavior
    • Carati, A., Galgani, L.: On the specific heat of FPU systems and their glassy behavior. J. Stat. Phys. 94, 859-869 (1999)
    • (1999) J. Stat. Phys. , vol.94 , pp. 859-869
    • Carati, A.1    Galgani, L.2
  • 10
    • 33645969450 scopus 로고    scopus 로고
    • Planck's formula and glassy behaviour in classical nonequilibrium statistical mechanics
    • Carati, A., Galgani, L.: Planck's formula and glassy behaviour in classical nonequilibrium statistical mechanics. Physica A280, 105-114 (2001)
    • (2001) Physica A , vol.280 , pp. 105-114
    • Carati, A.1    Galgani, L.2
  • 11
    • 17744384769 scopus 로고    scopus 로고
    • The Fermi-Pasta-Ulam problem as a challenge for the foundations of physics
    • to appear
    • Carati, A., Galgani, L., Giorgilli, A.: The Fermi-Pasta-Ulam problem as a challenge for the foundations of physics. Chaos, to appear. 2005
    • (2005) Chaos
    • Carati, A.1    Galgani, L.2    Giorgilli, A.3
  • 13
    • 0002686768 scopus 로고
    • Numerical simulation of gravity waves
    • Craig, W., Sulem, C.: Numerical simulation of gravity waves. J. Comput. Phys. 108, 73-83 (1993)
    • (1993) J. Comput. Phys. , vol.108 , pp. 73-83
    • Craig, W.1    Sulem, C.2
  • 14
    • 0000944690 scopus 로고
    • An integrable normal form for water waves in infinite depth
    • Craig, W., Worfolk, P.A.: An integrable normal form for water waves in infinite depth. Physica D 84, 513-531 (1995)
    • (1995) Physica D , vol.84 , pp. 513-531
    • Craig, W.1    Worfolk, P.A.2
  • 15
    • 0001261059 scopus 로고
    • Is free-surface hydrodynamics an integrable system?
    • Dyachenko, A.I., Zakharov, V.E.: Is free-surface hydrodynamics an integrable system?. Phys. Lett. A 190, 144-148 (1994)
    • (1994) Phys. Lett. A , vol.190 , pp. 144-148
    • Dyachenko, A.I.1    Zakharov, V.E.2
  • 18
    • 0033229031 scopus 로고    scopus 로고
    • Solitary waves on Fermi-Pasta-Ulam lattices. I. Qualitative properties renormalization and continuum limit
    • Friesecke, G., Pego, R.L.: Solitary waves on Fermi-Pasta-Ulam lattices. I. Qualitative properties renormalization and continuum limit. Nonlinearity 12. 1601-1627 (1999)
    • (1999) Nonlinearity , vol.12 , pp. 1601-1627
    • Friesecke, G.1    Pego, R.L.2
  • 19
    • 0010573332 scopus 로고    scopus 로고
    • Solitary waves on Fermi-Pasta-Ulam lattices. II. Linear implies nonlinear stability
    • Friesecke, G., Pego, R.L.: Solitary waves on Fermi-Pasta-Ulam lattices. II. Linear implies nonlinear stability. Nonlinearity 15, 1343-1359 (2002)
    • (2002) Nonlinearity , vol.15 , pp. 1343-1359
    • Friesecke, G.1    Pego, R.L.2
  • 20
    • 0346171294 scopus 로고    scopus 로고
    • Solitary waves on Fermi-Pasta-Ulam lattices. III. Howland-type Floquet theory
    • Friesecke, G., Pego, R.L.: Solitary waves on Fermi-Pasta-Ulam lattices. III. Howland-type Floquet theory. Nonlinearity 17, 207-227 (2004)
    • (2004) Nonlinearity , vol.17 , pp. 207-227
    • Friesecke, G.1    Pego, R.L.2
  • 21
    • 0346671222 scopus 로고    scopus 로고
    • Solitary waves on Fermi-Pasta-Ulam lattices. IV. Proof of stability at low energy
    • Friesecke, G., Pego, R.L.: Solitary waves on Fermi-Pasta-Ulam lattices. IV. Proof of stability at low energy. Nonlinearity 17, 229-251 (2004)
    • (2004) Nonlinearity , vol.17 , pp. 229-251
    • Friesecke, G.1    Pego, R.L.2
  • 22
    • 0000595654 scopus 로고
    • Studies of nonlinear problems
    • Chicago: Chicago University Press
    • Fermi, E., Pasta, J.R., Ulam, S.M.: Studies of nonlinear problems. In Collected works of E. Fermi Vol.2. Chicago: Chicago University Press, 1965
    • (1965) Collected Works of E. Fermi , vol.2
    • Fermi, E.1    Pasta, J.R.2    Ulam, S.M.3
  • 23
    • 3543011647 scopus 로고
    • Planck-like distribution in classical nonlinear mechanics
    • Galgani, L., Scotti, A.: Planck-like distribution in classical nonlinear mechanics. Phys. Rev. Lett. 28, 1173-1176 (1972)
    • (1972) Phys. Rev. Lett. , vol.28 , pp. 1173-1176
    • Galgani, L.1    Scotti, A.2
  • 24
    • 0002980692 scopus 로고
    • Statistical properties of a nonlinear string
    • Izrailev, P.M., Chirikov, B.V.: Statistical properties of a nonlinear string. Sov. Phys. Dokl. 11, 30-32 (1966)
    • (1966) Sov. Phys. Dokl. , vol.11 , pp. 30-32
    • Izrailev, P.M.1    Chirikov, B.V.2
  • 25
    • 81155127623 scopus 로고    scopus 로고
    • Berlin-Heidelberg-Newyork: Springer
    • Kappeler, T. Pöschel. J.: KAM & KdV. Berlin-Heidelberg-Newyork: Springer. 2003
    • (2003) KAM & KdV
    • Kappeler, T.1    Pöschel, J.2
  • 26
    • 0008981843 scopus 로고
    • Further results on the equipartition threshold in large nonlinear Hamiltonian systems
    • Livi, R., Pettini, M., Ruffo, S., Vulpiani, A.: Further results on the equipartition threshold in large nonlinear Hamiltonian systems. Phys. Rev. A 31, 2741-2742 (1985)
    • (1985) Phys. Rev. A , vol.31 , pp. 2741-2742
    • Livi, R.1    Pettini, M.2    Ruffo, S.3    Vulpiani, A.4
  • 28
    • 33645962358 scopus 로고    scopus 로고
    • Energy cascade in Fermi-Pasta-Ulam model
    • G. Gaeta et al. (eds.) RiverEdge, NJ: World Scientific
    • Ponno, A., Bambusi, D.: Energy cascade in Fermi-Pasta-Ulam model. In: G. Gaeta et al. (eds.) Symmetry and Perturbation Theory 2004. RiverEdge, NJ: World Scientific. 2005 pp. 263-270
    • (2005) Symmetry and Perturbation Theory 2004 , pp. 263-270
    • Ponno, A.1    Bambusi, D.2
  • 29
    • 17744381819 scopus 로고    scopus 로고
    • KdV equation and energy sharing in FPU
    • Ponno, A., Bambusi, D.: KdV equation and energy sharing in FPU. Chaos 15, 015107 (2005)
    • (2005) Chaos , vol.15 , pp. 015107
    • Ponno, A.1    Bambusi, D.2
  • 30
    • 0035541517 scopus 로고    scopus 로고
    • Normal form and exponential stability for some nonlinear string equations
    • Paleari, S., Bambusi, D., Cacciatori, S.: Normal form and exponential stability for some nonlinear string equations. ZAMP52, 1033-1052 (2001)
    • (2001) ZAMP , vol.52 , pp. 1033-1052
    • Paleari, S.1    Bambusi, D.2    Cacciatori, S.3
  • 31
    • 0000569924 scopus 로고
    • Relaxation properties and ergodicity breaking in nonlinear Hamiltonian dynamics
    • Pettini, M., Landolfi, M.: Relaxation properties and ergodicity breaking in nonlinear Hamiltonian dynamics. Phys. Rev. A 41, 768-783 (1990)
    • (1990) Phys. Rev. A , vol.41 , pp. 768-783
    • Pettini, M.1    Landolfi, M.2
  • 32
    • 0344063423 scopus 로고    scopus 로고
    • Soliton theory and the Fermi-Pasta-Ulam problem in the thermodynamic limit
    • Ponno, A.: Soliton theory and the Fermi-Pasta-Ulam problem in the thermodynamic limit. Europhys. Lett. 64, 606-612 (2003)
    • (2003) Europhys. Lett. , vol.64 , pp. 606-612
    • Ponno, A.1
  • 36
    • 0037437722 scopus 로고    scopus 로고
    • Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice
    • Rink, B.: Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice. Physica D 175, 31-42 (2001)
    • (2001) Physica D , vol.175 , pp. 31-42
    • Rink, B.1
  • 37
    • 0035531312 scopus 로고    scopus 로고
    • Symmetry and resonance in periodic FPU chains
    • Rink, B.: Symmetry and resonance in periodic FPU chains. Commun. Math. Phys. 218, 665-685 (2001)
    • (2001) Commun. Math. Phys. , vol.218 , pp. 665-685
    • Rink, B.1
  • 38
    • 0037618847 scopus 로고    scopus 로고
    • Low-energy chaos in the Fermi-Pasta-Ulam problem
    • Shepelyansky, D.L.: Low-Energy chaos in the Fermi-Pasta-Ulam problem. Nonlinearity 10, 1331-1338 (1997)
    • (1997) Nonlinearity , vol.10 , pp. 1331-1338
    • Shepelyansky, D.L.1
  • 40
    • 33846361348 scopus 로고
    • Interaction of solitons in a collisionless plasma and the recurrence of initial states
    • Zabusky, N.J., Kruskal, M.D.: Interaction of solitons in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15, 240-243 (1965)
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.