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Volumn 214, Issue 2, 2006, Pages 144-156

A thermodynamic approach to non-isothermal phase-field evolution in continuum physics

Author keywords

Continuum thermodynamics; Evolution equation; Free energy; Phase transitions; Phase field model

Indexed keywords

FREE ENERGY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PHASE TRANSITIONS; SUPERCONDUCTING MATERIALS; THERMODYNAMICS;

EID: 32844455040     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.01.002     Document Type: Article
Times cited : (86)

References (23)
  • 2
    • 0002585056 scopus 로고
    • On the theory of superconductivity
    • D. ter Haar Pergamon Oxford
    • L.D. Landau, and V.L. Ginzburg On the theory of superconductivity D. ter Haar Collected papers of L.D. Landau 1965 Pergamon Oxford 546 568
    • (1965) Collected Papers of L.D. Landau , pp. 546-568
    • Landau, L.D.1    Ginzburg, V.L.2
  • 3
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system I. Interfacial energy
    • J.W. Cahn, and J.E. Hilliard Free energy of a nonuniform system I. Interfacial energy J. Chem. Phys. 1958 258 267
    • (1958) J. Chem. Phys. , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 4
    • 0000262022 scopus 로고
    • Models of pattern formation in first-order phase transitions
    • World Scientific Singapore
    • J.S. Langer Models of pattern formation in first-order phase transitions Directions in Condensed Matter Physics 1986 World Scientific Singapore 165 186
    • (1986) Directions in Condensed Matter Physics , pp. 165-186
    • Langer, J.S.1
  • 5
    • 0001092522 scopus 로고
    • Phase field methods for free boundary problems
    • A. Fasano M. Primicerio Pitman London
    • G.J. Fix Phase field methods for free boundary problems A. Fasano M. Primicerio Free Boundary Problems: Theory and Applications 1983 Pitman London 580 589
    • (1983) Free Boundary Problems: Theory and Applications , pp. 580-589
    • Fix, G.J.1
  • 6
    • 34250131162 scopus 로고
    • An analysis of a phase field model of a free boundary
    • G. Caginalp An analysis of a phase field model of a free boundary Arch. Ration. Mech. Anal. 92 1986 205 245
    • (1986) Arch. Ration. Mech. Anal. , vol.92 , pp. 205-245
    • Caginalp, G.1
  • 7
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
    • O. Penrose, and P. Fife Thermodynamically consistent models of phase-field type for the kinetics of phase transitions Physica D 43 1990 44 62
    • (1990) Physica D , vol.43 , pp. 44-62
    • Penrose, O.1    Fife, P.2
  • 8
    • 0000358571 scopus 로고
    • On the relation between the standard phase-field model and a "thermodynamically consistent" phase-field model
    • O. Penrose, and P.C. Fife On the relation between the standard phase-field model and a "thermodynamically consistent" phase-field model Physica D 69 1993 107 113
    • (1993) Physica D , vol.69 , pp. 107-113
    • Penrose, O.1    Fife, P.C.2
  • 9
    • 0001643342 scopus 로고
    • A mathematical model of dynamics of non-isothermal phase separation
    • H.W. Alt, and I. Pawlow A mathematical model of dynamics of non-isothermal phase separation Physica D 59 1992 389 416
    • (1992) Physica D , vol.59 , pp. 389-416
    • Alt, H.W.1    Pawlow, I.2
  • 12
    • 0000063685 scopus 로고
    • Continuum theory of thermally induced phase transitions based on an order parameter
    • E. Fried, and M.E. Gurtin Continuum theory of thermally induced phase transitions based on an order parameter Physica D 68 1993 326 343
    • (1993) Physica D , vol.68 , pp. 326-343
    • Fried, E.1    Gurtin, M.E.2
  • 13
    • 0002136142 scopus 로고    scopus 로고
    • A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy
    • E. Fried, and M.E. Gurtin A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy Physica D 91 1996 143 181
    • (1996) Physica D , vol.91 , pp. 143-181
    • Fried, E.1    Gurtin, M.E.2
  • 15
    • 0042074664 scopus 로고    scopus 로고
    • Existence and uniqueness results to a phase transition model based on microscopic accelerations and movements
    • G. Bonfanti, M. Frémond, and F. Luterotti Existence and uniqueness results to a phase transition model based on microscopic accelerations and movements Nonlinear Anal. Real World Appl. 5 2004 123 140
    • (2004) Nonlinear Anal. Real World Appl. , vol.5 , pp. 123-140
    • Bonfanti, G.1    Frémond, M.2    Luterotti, F.3
  • 17
    • 0347394179 scopus 로고    scopus 로고
    • On the entropy principle of phase transition models with a conserved order parameter
    • H.W. Alt, and I. Pawlow On the entropy principle of phase transition models with a conserved order parameter Adv. Math. Sci. Appl. 6 1996 291 376
    • (1996) Adv. Math. Sci. Appl. , vol.6 , pp. 291-376
    • Alt, H.W.1    Pawlow, I.2
  • 18
    • 0001292389 scopus 로고
    • Thermodynamics and stability of fluids of third grade
    • R.L. Fosdick, and K.R. Rajagopal Thermodynamics and stability of fluids of third grade Proc. R. Soc. Lond. A 339 1980 351 377
    • (1980) Proc. R. Soc. Lond. A , vol.339 , pp. 351-377
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 20
    • 0017767291 scopus 로고
    • On thermodynamics and the nature of the second law
    • A.E. Green, and P.M. Naghdi On thermodynamics and the nature of the second law Proc. R. Soc. Lond. A 357 1977 253 270
    • (1977) Proc. R. Soc. Lond. A , vol.357 , pp. 253-270
    • Green, A.E.1    Naghdi, P.M.2
  • 21
    • 32844466301 scopus 로고
    • On a global entropy production inequality
    • A.E. Green, and N. Laws On a global entropy production inequality Quart. J. Mech. Appl. Math. 25 1972 1 11
    • (1972) Quart. J. Mech. Appl. Math. , vol.25 , pp. 1-11
    • Green, A.E.1    Laws, N.2
  • 22
    • 0038237436 scopus 로고    scopus 로고
    • A thermomechanical model for energetic materials with phase transformations
    • G.A. Ruderman, D.S. Stewart, and J.J.-I. Yoh A thermomechanical model for energetic materials with phase transformations SIAM J. Appl. Math. 63 2002 510 537
    • (2002) SIAM J. Appl. Math. , vol.63 , pp. 510-537
    • Ruderman, G.A.1    Stewart, D.S.2    Yoh, J.J.-I.3
  • 23
    • 0031269217 scopus 로고    scopus 로고
    • Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity
    • Z. Chen, and K.-H. Hoffmann Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity Numer. Funct. Anal. Optim. 18 1997 901 920
    • (1997) Numer. Funct. Anal. Optim. , vol.18 , pp. 901-920
    • Chen, Z.1    Hoffmann, K.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.