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Volumn 10, Issue 16, 1996, Pages 1935-1988

Mean-field study of surface and interface properties in terms of nonlinear maps

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EID: 0013407241     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021797929600088X     Document Type: Article
Times cited : (18)

References (101)
  • 1
    • 0003242030 scopus 로고
    • eds. C. Domb and L. Lebowitz Academic, New York, Chap. 1
    • W. Selke, in Phase Transitions and Critical Phenomena, eds. C. Domb and L. Lebowitz (Academic, New York, 1992), Vol. 15. Chap. 1.
    • (1992) Phase Transitions and Critical Phenomena , vol.15
    • Selke, W.1
  • 2
    • 0001856561 scopus 로고
    • eds. C. Domb and L. Lebowitz Academic, New York, Chap. 1
    • K. Binder, in Phase Transitions and Critical Phenomena, eds. C. Domb and L. Lebowitz (Academic, New York, 1983), Vol. 8, Chap. 1.
    • (1983) Phase Transitions and Critical Phenomena , vol.8
    • Binder, K.1
  • 3
    • 5844305506 scopus 로고
    • W. Dürr, D. Kerkmann and D. Pescia. Int. J. Mod. Phys. 4. 401 (1990). See also the special issues on "Magnetism in Ultrathin Films", ed. D. Pescia, Appl. Phys. A49, n.5 and n.6 (1989).
    • (1990) Int. J. Mod. Phys. , vol.4 , pp. 401
    • Dürr, W.1    Kerkmann, D.2    Pescia, D.3
  • 4
    • 0346664818 scopus 로고
    • Magnetism in Ultrathin Films
    • W. Dürr, D. Kerkmann and D. Pescia. Int. J. Mod. Phys. 4. 401 (1990). See also the special issues on "Magnetism in Ultrathin Films", ed. D. Pescia, Appl. Phys. A49, n.5 and n.6 (1989).
    • (1989) Appl. Phys. , vol.A49 , Issue.5-6 SPECIAL ISSUES
    • Pescia, D.1
  • 7
    • 0043261523 scopus 로고
    • Cambridge, Cambridge
    • E. Ott. Dynamical Systems (Cambridge, Cambridge, 1993); H. G. Schuster, Deterministic Chaos (VCH, Weinheim, 1995).
    • (1993) Dynamical Systems
    • Ott, E.1
  • 8
    • 0004083386 scopus 로고
    • VCH, Weinheim
    • E. Ott. Dynamical Systems (Cambridge, Cambridge, 1993); H. G. Schuster, Deterministic Chaos (VCH, Weinheim, 1995).
    • (1995) Deterministic Chaos
    • Schuster, H.G.1
  • 10
    • 0003017610 scopus 로고
    • eds. A. R. Bishop and T, Schneider Springer, Berlin
    • S. Aubry, in Solitons and Condensed Matter Physics, eds. A. R. Bishop and T, Schneider (Springer, Berlin, 1979). p. 264; S. Aubry, in Structures et Instabilités. ed. C. Godreche (Les Editions de Physique, Les Ulis, 1986), p. 73.
    • (1979) Solitons and Condensed Matter Physics , pp. 264
    • Aubry, S.1
  • 11
    • 0542367065 scopus 로고
    • ed. C. Godreche Les Editions de Physique, Les Ulis
    • S. Aubry, in Solitons and Condensed Matter Physics, eds. A. R. Bishop and T, Schneider (Springer, Berlin, 1979). p. 264; S. Aubry, in Structures et Instabilités. ed. C. Godreche (Les Editions de Physique, Les Ulis, 1986), p. 73.
    • (1986) Structures et Instabilités , pp. 73
    • Aubry, S.1
  • 16
    • 0542414485 scopus 로고
    • P. I. Belobrov, V. V. Beloshapkin, G. M. Zaslavsky and A. G. Tretyakov. Sov. Phys. JETP 60, 180 (1984) [Zh. Eksp. Teor. Fiz. 87, 310 (1984)].
    • (1984) Zh. Eksp. Teor. Fiz. , vol.87 , pp. 310
  • 18
    • 0012097571 scopus 로고
    • B. V. Chirikov, Phys. Rep. 52, 263 (1979): J. Greene, J. Math. Phys. 20, 1183 (1978).
    • (1979) Phys. Rep. , vol.52 , pp. 263
    • Chirikov, B.V.1
  • 19
    • 36749116209 scopus 로고
    • B. V. Chirikov, Phys. Rep. 52, 263 (1979): J. Greene, J. Math. Phys. 20, 1183 (1978).
    • (1978) J. Math. Phys. , vol.20 , pp. 1183
    • Greene, J.1
  • 21
    • 0001246972 scopus 로고
    • A. N. Kolmogorov, Dokl. Akad. Nauk. USSR 98, 525 (1954); V. I. Arnold, Russ. Math. Surveys 18. 5 (1963); J. Moser, Math. Ann. 169, 163 (1967); V. I. Arnold and A. Avez. Ergodic Problems of Classical Mechanics (Benjamin. New York. 1968).
    • (1954) Dokl. Akad. Nauk. USSR , vol.98 , pp. 525
    • Kolmogorov, A.N.1
  • 22
    • 0007835821 scopus 로고
    • A. N. Kolmogorov, Dokl. Akad. Nauk. USSR 98, 525 (1954); V. I. Arnold, Russ. Math. Surveys 18. 5 (1963); J. Moser, Math. Ann. 169, 163 (1967); V. I. Arnold and A. Avez. Ergodic Problems of Classical Mechanics (Benjamin. New York. 1968).
    • (1963) Russ. Math. Surveys , vol.18 , pp. 5
    • Arnold, V.I.1
  • 23
    • 0004443078 scopus 로고
    • A. N. Kolmogorov, Dokl. Akad. Nauk. USSR 98, 525 (1954); V. I. Arnold, Russ. Math. Surveys 18. 5 (1963); J. Moser, Math. Ann. 169, 163 (1967); V. I. Arnold and A. Avez. Ergodic Problems of Classical Mechanics (Benjamin. New York. 1968).
    • (1967) Math. Ann. , vol.169 , pp. 163
    • Moser, J.1
  • 24
    • 0003709089 scopus 로고
    • Benjamin. New York
    • A. N. Kolmogorov, Dokl. Akad. Nauk. USSR 98, 525 (1954); V. I. Arnold, Russ. Math. Surveys 18. 5 (1963); J. Moser, Math. Ann. 169, 163 (1967); V. I. Arnold and A. Avez. Ergodic Problems of Classical Mechanics (Benjamin. New York. 1968).
    • (1968) Ergodic Problems of Classical Mechanics
    • Arnold, V.I.1    Avez, A.2
  • 26
    • 0039465453 scopus 로고
    • P. Bak, Rep. Prog. Phys. 45, 587 (1982); P. Bak, Physics Today (December 1986). p. 38.
    • (1982) Rep. Prog. Phys. , vol.45 , pp. 587
    • Bak, P.1
  • 27
    • 0039465453 scopus 로고
    • December
    • P. Bak, Rep. Prog. Phys. 45, 587 (1982); P. Bak, Physics Today (December 1986). p. 38.
    • (1986) Physics Today , pp. 38
    • Bak, P.1
  • 29
    • 34548328319 scopus 로고
    • S. Aubry, Physica D7, 240 (1983); S. Aubry and P. Y. Le Daeron, Physica D8, 38 (1983).
    • (1983) Physica D , vol.7 , pp. 240
    • Aubry, S.1
  • 32
    • 3643102141 scopus 로고
    • R. J. Elliot, Phys. Rev. 124, 346 (1961); M. E. Fisher and W. Selke, Phys. Rev. Lett. 44, 1502 (1980); P. Bak and J. von Boehm, Phys. Rev. B21, 5297 (1980); J. Villain and M. B. Gordon, J. Phys. C13, 3117 (1980).
    • (1961) Phys. Rev. , vol.124 , pp. 346
    • Elliot, R.J.1
  • 33
    • 0042300984 scopus 로고
    • R. J. Elliot, Phys. Rev. 124, 346 (1961); M. E. Fisher and W. Selke, Phys. Rev. Lett. 44, 1502 (1980); P. Bak and J. von Boehm, Phys. Rev. B21, 5297 (1980); J. Villain and M. B. Gordon, J. Phys. C13, 3117 (1980).
    • (1980) Phys. Rev. Lett. , vol.44 , pp. 1502
    • Fisher, M.E.1    Selke, W.2
  • 34
    • 0000788823 scopus 로고
    • R. J. Elliot, Phys. Rev. 124, 346 (1961); M. E. Fisher and W. Selke, Phys. Rev. Lett. 44, 1502 (1980); P. Bak and J. von Boehm, Phys. Rev. B21, 5297 (1980); J. Villain and M. B. Gordon, J. Phys. C13, 3117 (1980).
    • (1980) Phys. Rev. , vol.B21 , pp. 5297
    • Bak, P.1    Von Boehm, J.2
  • 35
    • 0001186858 scopus 로고
    • R. J. Elliot, Phys. Rev. 124, 346 (1961); M. E. Fisher and W. Selke, Phys. Rev. Lett. 44, 1502 (1980); P. Bak and J. von Boehm, Phys. Rev. B21, 5297 (1980); J. Villain and M. B. Gordon, J. Phys. C13, 3117 (1980).
    • (1980) J. Phys. , vol.C13 , pp. 3117
    • Villain, J.1    Gordon, M.B.2
  • 36
    • 0004365585 scopus 로고
    • B. Legrand, G. Tréglia and F. Ducastelle, Phys. Rev. B41, 4422 (1990); G. Tréglia, B. Legrand, J. Eugène, B. Aufray and F. Cabané, Phys. Rev. B44, 5842 (1991).
    • (1990) Phys. Rev. , vol.B41 , pp. 4422
    • Legrand, B.1    Tréglia, G.2    Ducastelle, F.3
  • 39
    • 4243091335 scopus 로고
    • C. S. O. Yokoi, M. J. de Oliveira and S. R. Salinas, Phys. Rev. Lett. 54, 163 (1985); T. Tomé and S. R. Salinas, Phys. Rev. A39, 2206 (1986); T. Tomé and S. R. Salinas, J. Phys. A: Math. Gen. 21, L311 (1988); P. J. Jensen, K. A. Penson and K. H. Benneman, Phys. Rev. B35. 7306 (1987).
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 163
    • Yokoi, C.S.O.1    De Oliveira, M.J.2    Salinas, S.R.3
  • 40
    • 0346516520 scopus 로고
    • C. S. O. Yokoi, M. J. de Oliveira and S. R. Salinas, Phys. Rev. Lett. 54, 163 (1985); T. Tomé and S. R. Salinas, Phys. Rev. A39, 2206 (1986); T. Tomé and S. R. Salinas, J. Phys. A: Math. Gen. 21, L311 (1988); P. J. Jensen, K. A. Penson and K. H. Benneman, Phys. Rev. B35. 7306 (1987).
    • (1986) Phys. Rev. , vol.A39 , pp. 2206
    • Tomé, T.1    Salinas, S.R.2
  • 41
    • 26144464200 scopus 로고
    • C. S. O. Yokoi, M. J. de Oliveira and S. R. Salinas, Phys. Rev. Lett. 54, 163 (1985); T. Tomé and S. R. Salinas, Phys. Rev. A39, 2206 (1986); T. Tomé and S. R. Salinas, J. Phys. A: Math. Gen. 21, L311 (1988); P. J. Jensen, K. A. Penson and K. H. Benneman, Phys. Rev. B35. 7306 (1987).
    • (1988) J. Phys. A: Math. Gen. , vol.21
    • Tomé, T.1    Salinas, S.R.2
  • 42
    • 0000118207 scopus 로고
    • C. S. O. Yokoi, M. J. de Oliveira and S. R. Salinas, Phys. Rev. Lett. 54, 163 (1985); T. Tomé and S. R. Salinas, Phys. Rev. A39, 2206 (1986); T. Tomé and S. R. Salinas, J. Phys. A: Math. Gen. 21, L311 (1988); P. J. Jensen, K. A. Penson and K. H. Benneman, Phys. Rev. B35. 7306 (1987).
    • (1987) Phys. Rev. , vol.B35 , pp. 7306
    • Jensen, P.J.1    Penson, K.A.2    Benneman, K.H.3
  • 48
    • 2842568651 scopus 로고
    • C. Rau and C. Jin, J. Phys. (Paris) Colloq. 49, C8-1627 (1988); C. Rau, Appl. Phys. A49, 579 (1088).
    • (1088) Appl. Phys. , vol.A49 , pp. 579
    • Rau, C.1
  • 54
    • 0001101458 scopus 로고
    • R. W. Wang, D. L. Mills, E. E. Fullerton, J. E. Mattson and S. D. Bader, Phys. Rev. Lett. 72, 920 (1994); R. W. Wang and D. L. Mills, Phys. Rev. B50, 3931 (1994).
    • (1994) Phys. Rev. , vol.B50 , pp. 3931
    • Wang, R.W.1    Mills, D.L.2
  • 55
    • 85033825093 scopus 로고    scopus 로고
    • note
    • N.
  • 57
    • 25744452815 scopus 로고
    • W. Chou and R. B. Griffiths, Phys. Rev. B34, 6219 (1986): C. S. O. Yokoi, L. H. Tang and W. Chou, Phys. Rev. B37, 2173 (1988).
    • (1986) Phys. Rev. , vol.B34 , pp. 6219
    • Chou, W.1    Griffiths, R.B.2
  • 58
    • 0007293397 scopus 로고
    • W. Chou and R. B. Griffiths, Phys. Rev. B34, 6219 (1986): C. S. O. Yokoi, L. H. Tang and W. Chou, Phys. Rev. B37, 2173 (1988).
    • (1988) Phys. Rev. , vol.B37 , pp. 2173
    • Yokoi, C.S.O.1    Tang, L.H.2    Chou, W.3
  • 59
    • 0000612698 scopus 로고
    • Paris
    • L. Néel, Ann. Phys. (Paris) 5, 232 (1936).
    • (1936) Ann. Phys. , vol.5 , pp. 232
    • Néel, L.1
  • 62
    • 24544479419 scopus 로고
    • E
    • D. L. Mills and W. M. Saslow, Phys. Rev. 171, 488 (1968): 176. 760 (E) (1968).
    • (1968) Phys. Rev. , vol.176 , pp. 760
  • 68
    • 85033807366 scopus 로고    scopus 로고
    • note
    • However, even in the framework of the map method, one has that, in the presence of chaos. the amplification of an uncertainty in the initial condition ø1 makes the solution of the problem more difficult as the number of planes in the film N increases.
  • 69
    • 0001257670 scopus 로고
    • R. E. Camley and D. R. Tilley, Phys. Rev. B37, 3413 (1988); A.S. Carriço and R. E. Camley, Phys. Rev. B45, 13117 (1992); R. E. Camley and R. L. Stamps, J. Phys.: Cond. Matt. 5, 3727 (1993); A. S. Carriço, R. E. Camley and R. L. Stamps, Phys. Rev. B50, 13453 (1994).
    • (1988) Phys. Rev. , vol.B37 , pp. 3413
    • Camley, R.E.1    Tilley, D.R.2
  • 70
    • 0001025649 scopus 로고
    • R. E. Camley and D. R. Tilley, Phys. Rev. B37, 3413 (1988); A.S. Carriço and R. E. Camley, Phys. Rev. B45, 13117 (1992); R. E. Camley and R. L. Stamps, J. Phys.: Cond. Matt. 5, 3727 (1993); A. S. Carriço, R. E. Camley and R. L. Stamps, Phys. Rev. B50, 13453 (1994).
    • (1992) Phys. Rev. , vol.B45 , pp. 13117
    • Carriço, A.S.1    Camley, R.E.2
  • 71
    • 21544457423 scopus 로고
    • R. E. Camley and D. R. Tilley, Phys. Rev. B37, 3413 (1988); A.S. Carriço and R. E. Camley, Phys. Rev. B45, 13117 (1992); R. E. Camley and R. L. Stamps, J. Phys.: Cond. Matt. 5, 3727 (1993); A. S. Carriço, R. E. Camley and R. L. Stamps, Phys. Rev. B50, 13453 (1994).
    • (1993) J. Phys.: Cond. Matt. , vol.5 , pp. 3727
    • Camley, R.E.1    Stamps, R.L.2
  • 72
    • 0001280496 scopus 로고
    • R. E. Camley and D. R. Tilley, Phys. Rev. B37, 3413 (1988); A.S. Carriço and R. E. Camley, Phys. Rev. B45, 13117 (1992); R. E. Camley and R. L. Stamps, J. Phys.: Cond. Matt. 5, 3727 (1993); A. S. Carriço, R. E. Camley and R. L. Stamps, Phys. Rev. B50, 13453 (1994).
    • (1994) Phys. Rev. B50 , pp. 13453
    • Carriço, A.S.1    Camley, R.E.2    Stamps, R.L.3
  • 76
    • 4243488463 scopus 로고
    • G. A. Mulhollan, K. Garrison and J. L. Erskine, Phys. Rev. Lett. 69, 3240 (1992); G. A. Mulhollan, Mod. Phys. Lett. B7, 655 (1993).
    • (1993) Mod. Phys. Lett. , vol.B7 , pp. 655
    • Mulhollan, G.A.1
  • 78
    • 0028532501 scopus 로고
    • A. Berger, A. W. Pang and H. Hopster, Journ. Magn. Magnet. Mater. 137, L1 (1994); A. W. Pang, A. Berger and H. Hopster, Phys. Rev. B50, 6457 (1994); A. Berger, A. W. Pang and H. Hopster, Phys. Rev. B52, 1078 (1995).
    • (1994) Journ. Magn. Magnet. Mater. , vol.137
    • Berger, A.1    Pang, A.W.2    Hopster, H.3
  • 79
    • 0001517211 scopus 로고
    • A. Berger, A. W. Pang and H. Hopster, Journ. Magn. Magnet. Mater. 137, L1 (1994); A. W. Pang, A. Berger and H. Hopster, Phys. Rev. B50, 6457 (1994); A. Berger, A. W. Pang and H. Hopster, Phys. Rev. B52, 1078 (1995).
    • (1994) Phys. Rev. , vol.B50 , pp. 6457
    • Pang, A.W.1    Berger, A.2    Hopster, H.3
  • 80
    • 25744458036 scopus 로고
    • A. Berger, A. W. Pang and H. Hopster, Journ. Magn. Magnet. Mater. 137, L1 (1994); A. W. Pang, A. Berger and H. Hopster, Phys. Rev. B50, 6457 (1994); A. Berger, A. W. Pang and H. Hopster, Phys. Rev. B52, 1078 (1995).
    • (1995) Phys. Rev. B , vol.52 , pp. 1078
    • Berger, A.1    Pang, A.W.2    Hopster, H.3
  • 84
    • 85033812502 scopus 로고    scopus 로고
    • private communication
    • A. Thiaville, private communication.
    • Thiaville, A.1
  • 85
    • 0003331375 scopus 로고
    • Cambridge Monographs on Mathematical Physics Cambridge, U.K.
    • C. Itzykson and J. M. Drouffe, Statistical Field Theory, Cambridge Monographs on Mathematical Physics (Cambridge, U.K. 1989) Vol. 2, p. 118.
    • (1989) Statistical Field Theory , vol.2 , pp. 118
    • Itzykson, C.1    Drouffe, J.M.2
  • 89
    • 0000699893 scopus 로고
    • M. I. Kaganov and A.M. Omelyanchouk, Zh. Eksp. Teor. Fiz. 61, 1679 (1971) [Sov. Phys. JETP 34, 895 (1972)].
    • (1972) Sov. Phys. JETP , vol.34 , pp. 895
  • 90
    • 0001640352 scopus 로고
    • D. L. Mills, Phys. Rev. B3, 3887 (1971); D. L. Mills, Phys. Rev. B8, 4424 (1973).
    • (1971) Phys. Rev. , vol.B3 , pp. 3887
    • Mills, D.L.1
  • 91
    • 26344476404 scopus 로고
    • D. L. Mills, Phys. Rev. B3, 3887 (1971); D. L. Mills, Phys. Rev. B8, 4424 (1973).
    • (1973) Phys. Rev. , vol.B8 , pp. 4424
    • Mills, D.L.1
  • 94
    • 0039021327 scopus 로고
    • M. I. Kaganov, Zh. Eksp. Teor. Fiz. 62, 1196 (1972) [Soviet Phys. JETP 35, 631 (1972)].
    • (1972) Soviet Phys. JETP , vol.35 , pp. 631


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