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Volumn 29, Issue 3, 1999, Pages 243-259

Statistical mechanics of non-stretching elastica in three-dimensional space

(1)  Matsutani, Shigeki a  

a NONE   (Japan)

Author keywords

Soliton theory; Space curve; Statistical mechanics

Indexed keywords


EID: 0033074827     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(98)00042-4     Document Type: Article
Times cited : (14)

References (34)
  • 1
    • 84968511025 scopus 로고
    • The influence of elasticity on analysis: The classic heritage
    • C. Truesdell, The influence of elasticity on analysis: The classic heritage, Bull. Amer. Math. Soc. 9 (1983) 293-310.
    • (1983) Bull. Amer. Math. Soc. , vol.9 , pp. 293-310
    • Truesdell, C.1
  • 3
    • 0032549423 scopus 로고    scopus 로고
    • Statistical mechanics of elastica on plane: Origin of MKdV hierarchy
    • S. Matsutani, Statistical mechanics of elastica on plane: Origin of MKdV hierarchy, J. Phys. A 31 (1998) 2705-2725.
    • (1998) J. Phys. A , vol.31 , pp. 2705-2725
    • Matsutani, S.1
  • 4
    • 0001678450 scopus 로고
    • The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane
    • R.E. Goldstein, D.M. Petrich, The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane, Phys. Rev. Lett. 67 (1991) 3203-3206.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 3203-3206
    • Goldstein, R.E.1    Petrich, D.M.2
  • 5
    • 4243894773 scopus 로고
    • Solitons, Euler's equation, and vortex patch dynamics
    • R.E. Goldstein, D.M. Petrich, Solitons, Euler's equation, and vortex patch dynamics, Phys. Rev. Lett. 67 (1992) 555-558.
    • (1992) Phys. Rev. Lett. , vol.67 , pp. 555-558
    • Goldstein, R.E.1    Petrich, D.M.2
  • 9
    • 0002190849 scopus 로고
    • Soliton equations as dynamical systems on infinite dimensional Grassmann manifold
    • H. Fujita, P.D. Lax and G. Strang (Ed.), Kinokuniya/North-Holland, Tokyo
    • M. Sato, Y. Sato, Soliton equations as dynamical systems on infinite dimensional Grassmann manifold, in: H. Fujita, P.D. Lax and G. Strang (Ed.), Nonlinear Partial Differential Equations in Applied Science, Kinokuniya/North-Holland, Tokyo, 1983.
    • (1983) Nonlinear Partial Differential Equations in Applied Science
    • Sato, M.1    Sato, Y.2
  • 10
    • 0002174255 scopus 로고
    • Continuum spin system as an exactly solvable dynamical system
    • M. Lakshmanan, Continuum spin system as an exactly solvable dynamical system, Phys. Lett. A 61 (1977) 53-56.
    • (1977) Phys. Lett. A , vol.61 , pp. 53-56
    • Lakshmanan, M.1
  • 11
    • 0000343451 scopus 로고
    • The geometrical construction of the Hirota bilinear form of the modified Kortewegde-Vries equation on a thin elastic rod: Bosonic classical theory
    • S. Matsutani, The geometrical construction of the Hirota bilinear form of the modified Kortewegde-Vries equation on a thin elastic rod: Bosonic classical theory, Int. J. Mod. Phys. A 10 ( 1995) 3109-3130.
    • (1995) Int. J. Mod. Phys. A , vol.10 , pp. 3109-3130
    • Matsutani, S.1
  • 13
    • 0030748230 scopus 로고    scopus 로고
    • Nonlinear dynamics of solitary waves in an extensible rod
    • K. Nishinari, Nonlinear dynamics of solitary waves in an extensible rod, Proc. Roy. Soc. London A 453 (1997) 817-833.
    • (1997) Proc. Roy. Soc. London A , vol.453 , pp. 817-833
    • Nishinari, K.1
  • 14
    • 0000287170 scopus 로고
    • An elementary geometric characterization of the integrable motions of a curve
    • A Doliwa, P.M. Santini, An elementary geometric characterization of the integrable motions of a curve, Phys. Lett. A 185 (1994) 373-384.
    • (1994) Phys. Lett. A , vol.185 , pp. 373-384
    • Doliwa, A.1    Santini, P.M.2
  • 15
    • 0002846809 scopus 로고
    • Poisson geometry of the filament equation
    • J. Langer, R. Perline, Poisson geometry of the filament equation, J. Nonlinear Sci. 1 (1991) 71-91.
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 71-91
    • Langer, J.1    Perline, R.2
  • 18
    • 0000704596 scopus 로고
    • Statistical mechanics of semiflexible polymer: Yesterday, today and tomorrow
    • A.L. Kholodenko, Statistical mechanics of semiflexible polymer: Yesterday, today and tomorrow, J. Chem. Soc. Faraday Trans. 91 (1995) 2473-2482.
    • (1995) J. Chem. Soc. Faraday Trans. , vol.91 , pp. 2473-2482
    • Kholodenko, A.L.1
  • 19
    • 0001604770 scopus 로고
    • The statistical mechanical theory of stiff chains
    • N. Saitô, K. Takahashi, Y. Yunoki, The statistical mechanical theory of stiff chains, J. Phys. Soc. Jpn. 67 (1967) 219-226.
    • (1967) J. Phys. Soc. Jpn. , vol.67 , pp. 219-226
    • Saitô, N.1    Takahashi, K.2    Yunoki, Y.3
  • 21
    • 0040157334 scopus 로고    scopus 로고
    • A Kähler structure on the moduli space of isometric maps of a circle into Euclidean space
    • J.J. Millson, B. Zombro, A Kähler structure on the moduli space of isometric maps of a circle into Euclidean space, Invent. Math. 123 (1996) 35-59.
    • (1996) Invent. Math. , vol.123 , pp. 35-59
    • Millson, J.J.1    Zombro, B.2
  • 25
    • 84974277983 scopus 로고
    • A soliton on vertex filament
    • H. Hashimoto, A soliton on vertex filament, J. Fluid Mech. 51 (1972) 477-485.
    • (1972) J. Fluid Mech. , vol.51 , pp. 477-485
    • Hashimoto, H.1
  • 26
    • 0000959456 scopus 로고
    • Quantum mechanics of a constrained particle
    • R.C.T. da Costa, Quantum mechanics of a constrained particle, Phys. Rev. A 23 (1981) 1982-1987.
    • (1981) Phys. Rev. A , vol.23 , pp. 1982-1987
    • Da Costa, R.C.T.1
  • 27
    • 21844498234 scopus 로고
    • Anomaly on a submanifold system-new index theorem related to a submanifold system
    • S. Matsutani, Anomaly on a submanifold system-new index theorem related to a submanifold system, J. Phys. A 28 (1995) 1399-1412.
    • (1995) J. Phys. A , vol.28 , pp. 1399-1412
    • Matsutani, S.1
  • 29
    • 0009294666 scopus 로고    scopus 로고
    • Private communication
    • K. Nishinari, Private communication.
    • Nishinari, K.1
  • 30
    • 21844508960 scopus 로고
    • Exact solutions of the complex modified Korteweg-de Vries equation
    • A.A. Mohammad, M. Can, Exact solutions of the complex modified Korteweg-de Vries equation, J. Phys. A 28 (1995) 3223-3233.
    • (1995) J. Phys. A , vol.28 , pp. 3223-3233
    • Mohammad, A.A.1    Can, M.2
  • 32
    • 0000114009 scopus 로고
    • Statistical mechanics and the Jones polynomial
    • L.H. Kauffman, Statistical mechanics and the Jones polynomial, Contemporary Math. 78 (1988) 263-297.
    • (1988) Contemporary Math. , vol.78 , pp. 263-297
    • Kauffman, L.H.1
  • 33
    • 4243486541 scopus 로고
    • Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
    • R. Jackiw, S.-Y. Pi, Soliton solutions to the gauged nonlinear Schrödinger equation on the plane, Phys. Rev. Lett. 64 (1990) 2969-2973.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2969-2973
    • Jackiw, R.1    Pi, S.Y.2
  • 34
    • 0009219595 scopus 로고
    • On the physical relation between the Dirac equation and the generalized mKdV equation on a thin elastic rod
    • S. Matsutani, On the physical relation between the Dirac equation and the generalized mKdV equation on a thin elastic rod, Phys. Lett. A 189 (1994) 27-3 1.
    • (1994) Phys. Lett. A , vol.189 , pp. 27-31
    • Matsutani, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.