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Volumn 17, Issue 2, 2005, Pages 165-169

The Ginzburg-Landau equation as a consequence of the second law

Author keywords

Ginzburg Landau equation; Second law; Weakly nonlocal continuum physics

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF STATE; GEOMETRY; HAMILTONIANS; MATHEMATICAL MODELS; SUPERCONDUCTIVITY; THERMODYNAMICS;

EID: 17744368287     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-004-0195-z     Document Type: Article
Times cited : (15)

References (25)
  • 1
    • 0000098780 scopus 로고
    • K teorii sverkhrovodimosti
    • Landau, L.D., Ginzburg, V.L.: K teorii sverkhrovodimosti. Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki 20, 1064, (1950). English translation: On the theory of superconductivity, in: Collected papers of L. D. Landau. ter Haar, D. (ed.) (Pergamon, Oxford, 1965), pp. 546-568
    • (1950) Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki , vol.20 , pp. 1064
    • Landau, L.D.1    Ginzburg, V.L.2
  • 2
    • 0002585056 scopus 로고
    • English translation: Collected papers of L. D. Landau. ter Haar, D. (ed.) (Pergamon, Oxford)
    • Landau, L.D., Ginzburg, V.L.: K teorii sverkhrovodimosti. Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki 20, 1064, (1950). English translation: On the theory of superconductivity, in: Collected papers of L. D. Landau. ter Haar, D. (ed.) (Pergamon, Oxford, 1965), pp. 546-568
    • (1965) On the Theory of Superconductivity , pp. 546-568
  • 3
    • 0000455107 scopus 로고
    • Ob anomal'nom pogloshehenii zvuka vblizi tochek fazovo perekhoda vtorovo roda
    • Landau, L.D., Khalatnikov, I.M.: Ob anomal'nom pogloshehenii zvuka vblizi tochek fazovo perekhoda vtorovo roda. Dokladu Akademii Nauk, SSSR 96, 469 (1954). English translation: On the anomalous absorption of sound near a second order transition point, in: Collected papers of L. D. Landau. ter Haar, D. (ed.) (Pergamon, Oxford, 1965), pp. 626-633
    • (1954) Dokladu Akademii Nauk, SSSR , vol.96 , pp. 469
    • Landau, L.D.1    Khalatnikov, I.M.2
  • 4
    • 0002585056 scopus 로고
    • English translation: Collected papers of L. D. Landau. ter Haar, D. (ed.) (Pergamon, Oxford)
    • Landau, L.D., Khalatnikov, I.M.: Ob anomal'nom pogloshehenii zvuka vblizi tochek fazovo perekhoda vtorovo roda. Dokladu Akademii Nauk, SSSR 96, 469 (1954). English translation: On the anomalous absorption of sound near a second order transition point, in: Collected papers of L. D. Landau. ter Haar, D. (ed.) (Pergamon, Oxford, 1965), pp. 626-633
    • (1965) On the Anomalous Absorption of Sound Near a Second Order Transition Point , pp. 626-633
  • 5
    • 12044252828 scopus 로고
    • Pattern formation outside equilibrium
    • Cross, M.C., Hohenberg, P.C.: Pattern formation outside equilibrium. Rev. Mod. Phys. 65, 851-1106 (1993)
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851-1106
    • Cross, M.C.1    Hohenberg, P.C.2
  • 6
    • 0036013603 scopus 로고    scopus 로고
    • The world of the complex Ginzburg-Landau equation
    • Aranson, I.S., Kramer, L.: The world of the complex Ginzburg-Landau equation. Rev. Mod. Phys. 74, 99-143 (2002)
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 99-143
    • Aranson, I.S.1    Kramer, L.2
  • 7
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
    • Penrose, O., Fife, P.C.: Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Physica D 43, 44-62 (1990)
    • (1990) Physica D , vol.43 , pp. 44-62
    • Penrose, O.1    Fife, P.C.2
  • 8
    • 0000313595 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
    • Grmela, M., Öttinger, H.C.: Dynamics and thermodynamics of complex fluids. I. Development of a general formalism. Phys. Rev. E 56, 6620-6632 (1997)
    • (1997) Phys. Rev. E , vol.56 , pp. 6620-6632
    • Grmela, M.1    Öttinger, H.C.2
  • 9
    • 5344263088 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism
    • Öttinger, H.C., Grmela, M.: Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism. Phys. Rev. E 56, 6633-6655 (1997)
    • (1997) Phys. Rev. E , vol.56 , pp. 6633-6655
    • Öttinger, H.C.1    Grmela, M.2
  • 10
    • 0001637562 scopus 로고    scopus 로고
    • General projection operator formalism for the dynamics and thermodynamics of complex fluids
    • Öttinger, H.C.: General projection operator formalism for the dynamics and thermodynamics of complex fluids. Phys. Rev. E 57, 1416-1420 (1998)
    • (1998) Phys. Rev. E , vol.57 , pp. 1416-1420
    • Öttinger, H.C.1
  • 11
    • 0001158204 scopus 로고    scopus 로고
    • Generalized ginzburg-landau and cahn-hilliard equations based on a microforce balance
    • Gurtin, M.G.: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 92, 178-192 (1996)
    • (1996) Physica D , vol.92 , pp. 178-192
    • Gurtin, M.G.1
  • 12
    • 77956697542 scopus 로고    scopus 로고
    • Multifield theories in mechanics of solids
    • Mariano, P.M.: Multifield theories in mechanics of solids. Adv. Appl. Mech. 38, 1-94 (2002)
    • (2002) Adv. Appl. Mech. , vol.38 , pp. 1-94
    • Mariano, P.M.1
  • 13
    • 4243308858 scopus 로고    scopus 로고
    • Weakly nonlocal irreversible thermodynamics - The Ginzburg-Landau equation
    • cond-mat/0111307
    • Ván, P.: Weakly nonlocal irreversible thermodynamics - the Ginzburg-Landau equation. Technische Mechanik 22, 104-110 (2002) (cond-mat/0111307)
    • (2002) Technische Mechanik , vol.22 , pp. 104-110
    • Ván, P.1
  • 14
    • 0038711960 scopus 로고    scopus 로고
    • Weakly nonlocal irreversible thermodynamics
    • cond-mat/0112214
    • Ván, P.: Weakly nonlocal irreversible thermodynamics. Ann. Phys. (Leipzig) 12, 142-169 (2003) (cond-mat/0112214)
    • (2003) Ann. Phys. (Leipzig) , vol.12 , pp. 142-169
    • Ván, P.1
  • 15
    • 34250446889 scopus 로고
    • Method of Lagrange multipliers for exploitation of the entropy principle
    • Liu, I-Shih: Method of Lagrange multipliers for exploitation of the entropy principle. Arch. Rat. Mech. Anal. 46, 131-148 (1972)
    • (1972) Arch. Rat. Mech. Anal. , vol.46 , pp. 131-148
    • Liu, I.-S.1
  • 16
    • 0348114801 scopus 로고
    • Evolution hyperbolic equations for heat conduction
    • Kosiński, W., Larecki, W., Morro, A., Zorski, H. (eds.) Thermodynamics and Kinetic Theory, World Scientific.
    • Cimmelli, V.A., Kosiński, W.: Evolution hyperbolic equations for heat conduction. In: Kosiński, W., Larecki, W., Morro, A., Zorski, H. (eds.) Thermodynamics and Kinetic Theory, vol. 12 of Series on Advanced Mathematics and Applied Sciences, pp. 11-22, 1992. World Scientific. Proc. 5th Bilateral Polish-Italian Meeting, 1990 Aug. 28-Sept. 1., Madralin, Poland
    • (1992) Series on Advanced Mathematics and Applied Sciences , vol.12 , pp. 11-22
    • Cimmelli, V.A.1    Kosiński, W.2
  • 17
    • 17744363816 scopus 로고
    • Aug. 28-Sept. 1., Madralin, Poland
    • Cimmelli, V.A., Kosiński, W.: Evolution hyperbolic equations for heat conduction. In: Kosiński, W., Larecki, W., Morro, A., Zorski, H. (eds.) Thermodynamics and Kinetic Theory, vol. 12 of Series on Advanced Mathematics and Applied Sciences, pp. 11-22, 1992. World Scientific. Proc. 5th Bilateral Polish-Italian Meeting, 1990 Aug. 28-Sept. 1., Madralin, Poland
    • (1990) Proc. 5th Bilateral Polish-Italian Meeting
  • 18
    • 17744384437 scopus 로고    scopus 로고
    • Exploiting the dissipation inequality in case of constrained state space variables
    • Maruszewski, B.T., Muschik, W., Radowicz, A. (eds.) World Scientific.
    • Herrmann, H., Muschik, W., Papenfuss, C., Rückner, G.: Exploiting the dissipation inequality in case of constrained state space variables. In: Maruszewski, B.T., Muschik, W., Radowicz, A. (eds.) Trends in continuum physics, pp. 156-163, 1999. World Scientific. Proc. Int. Symp. TRECOP'98, Poznaán, Poland 17-20 August, 1998
    • (1999) Trends in Continuum Physics , pp. 156-163
    • Herrmann, H.1    Muschik, W.2    Papenfuss, C.3    Rückner, G.4
  • 19
    • 17744384438 scopus 로고    scopus 로고
    • Poznaán, Poland 17-20 August
    • Herrmann, H., Muschik, W., Papenfuss, C., Rückner, G.: Exploiting the dissipation inequality in case of constrained state space variables. In: Maruszewski, B.T., Muschik, W., Radowicz, A. (eds.) Trends in continuum physics, pp. 156-163, 1999. World Scientific. Proc. Int. Symp. TRECOP'98, Poznaán, Poland 17-20 August, 1998
    • (1998) Proc. Int. Symp. TRECOP'98
  • 21
    • 0036011703 scopus 로고    scopus 로고
    • A historical note on the entropy principle of Müller and Liu
    • Hauser, R.A., Kirchner, N.P.: A historical note on the entropy principle of Müller and Liu. Cont. Mech. Thermodyn. 14, 223-226 (2002). Lec. held on CIMRF'01, Berlin, 3-6 September, 2001
    • (2002) Cont. Mech. Thermodyn. , vol.14 , pp. 223-226
    • Hauser, R.A.1    Kirchner, N.P.2
  • 22
    • 0036011703 scopus 로고    scopus 로고
    • Berlin, 3-6 September
    • Hauser, R.A., Kirchner, N.P.: A historical note on the entropy principle of Müller and Liu. Cont. Mech. Thermodyn. 14, 223-226 (2002). Lec. held on CIMRF'01, Berlin, 3-6 September, 2001
    • (2001) Lec. Held on CIMRF'01
  • 23
    • 84856130453 scopus 로고
    • On the entropy current
    • Nyíri, B.: On the entropy current. J. Non-Equ. Thermodyn. 16, 179-186 (1991)
    • (1991) J. Non-equ. Thermodyn. , vol.16 , pp. 179-186
    • Nyíri, B.1
  • 24
    • 2342642518 scopus 로고
    • Solution of the linearized phonon Boltzmann equation
    • Guyer, R.A., Krumhansl, J.A.: Solution of the linearized phonon Boltzmann equation. Phys. Rev. 148, 766-778 (1966)
    • (1966) Phys. Rev. , vol.148 , pp. 766-778
    • Guyer, R.A.1    Krumhansl, J.A.2
  • 25
    • 0019204411 scopus 로고
    • On the problem of diffusion in solids
    • Aifantes, E.C.: On the problem of diffusion in solids. Acta Mechanica 37, 256-296 (1980)
    • (1980) Acta Mechanica , vol.37 , pp. 256-296
    • Aifantes, E.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.