5.7 Critical State Theory
113
It should be noted that the result of the summation theory shown in Sects. 5.4 and
5.6 automatically satisfies this condition. Since the summation theory leads to the
same result as the critical state model, it is also consistent with first principles. The
state described by these theories in the quasi-static process is just in contact with the
state derived by the principle of minimum energy dissipation (see Appendix A.10).
References
1. E.J. Kramer, J. Nucl. Mater. 72, 5 (1978)
2. C.P. Bean, Phys. Rev. Lett. 8, 250 (1962)
3. F. Irie, K. Yamafuji, J. Phys. Soc. Jpn. 23, 255 (1967)
4. A.M. Campbell, J. Phys. C 2, 1492 (1969)
5. A.M. Campbell, Philos. Mag. 37, 149 (1978)
6. A.M. Campbell, J. Phys. C 4, 3186 (1971)
7. T. Matsushita, T. Honda, K. Yamafuji, Mem. Fac. Eng., Kyushu Univ. 43, 233 (1983)
8. F. Sumiyoshi, M. Matsuyama, M. Noda, T. Matsushita, K. Funaki, M. Iwakuma, K. Yamafuji,
Jpn. J. Appl. Phys. 25, L148 (1986)
9. S. Takács, A.M. Campbell, Supercond. Sci. Technol. 1, 53 (1988)
10. T. Matsushita, N. Harada, K. Yamafuji, M. Noda, Jpn. J. Appl. Phys. 28, 356 (1989)
11. R. Labusch, Cryst. Lattice Defects 1, 1 (1969)
12. T. Matsushita, J. Phys. Soc. Jpn. 46, 1109 (1979)
13. T. Matsushita, J. Phys. Soc. Jpn. 84, 034705 (2015)
14. K. Yamafuji, F. Irie, Phys. Lett. A 25, 387 (1967)
15. T. Matsushita, Teionkougaku 43, 382, 468 (2008) (in Japanese)
16. A.I. Larkin, Yu.N. Ovchinnikov, J. Low Temp. Phys. 34, 409 (1979)
17. T. Matsushita, Physica C 243, 312 (1995)
18. T. Matsushita, E. Kusayanagi, K. Yamafuji, J. Phys. Soc. Jpn. 46, 1101 (1979)
19. T. Matsushita, Jpn. J. Appl. Phys. 51, 010109 (2012)
113
It should be noted that the result of the summation theory shown in Sects. 5.4 and
5.6 automatically satisfies this condition. Since the summation theory leads to the
same result as the critical state model, it is also consistent with first principles. The
state described by these theories in the quasi-static process is just in contact with the
state derived by the principle of minimum energy dissipation (see Appendix A.10).
References
1. E.J. Kramer, J. Nucl. Mater. 72, 5 (1978)
2. C.P. Bean, Phys. Rev. Lett. 8, 250 (1962)
3. F. Irie, K. Yamafuji, J. Phys. Soc. Jpn. 23, 255 (1967)
4. A.M. Campbell, J. Phys. C 2, 1492 (1969)
5. A.M. Campbell, Philos. Mag. 37, 149 (1978)
6. A.M. Campbell, J. Phys. C 4, 3186 (1971)
7. T. Matsushita, T. Honda, K. Yamafuji, Mem. Fac. Eng., Kyushu Univ. 43, 233 (1983)
8. F. Sumiyoshi, M. Matsuyama, M. Noda, T. Matsushita, K. Funaki, M. Iwakuma, K. Yamafuji,
Jpn. J. Appl. Phys. 25, L148 (1986)
9. S. Takács, A.M. Campbell, Supercond. Sci. Technol. 1, 53 (1988)
10. T. Matsushita, N. Harada, K. Yamafuji, M. Noda, Jpn. J. Appl. Phys. 28, 356 (1989)
11. R. Labusch, Cryst. Lattice Defects 1, 1 (1969)
12. T. Matsushita, J. Phys. Soc. Jpn. 46, 1109 (1979)
13. T. Matsushita, J. Phys. Soc. Jpn. 84, 034705 (2015)
14. K. Yamafuji, F. Irie, Phys. Lett. A 25, 387 (1967)
15. T. Matsushita, Teionkougaku 43, 382, 468 (2008) (in Japanese)
16. A.I. Larkin, Yu.N. Ovchinnikov, J. Low Temp. Phys. 34, 409 (1979)
17. T. Matsushita, Physica C 243, 312 (1995)
18. T. Matsushita, E. Kusayanagi, K. Yamafuji, J. Phys. Soc. Jpn. 46, 1101 (1979)
19. T. Matsushita, Jpn. J. Appl. Phys. 51, 010109 (2012)