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Prog. Theor. Phys. Vol. 113 No. 6 (2005) pp. 1391-1396
Letters
Topological and Ghost Interaction Methods in Equilibrium and Non-Equilibrium Systems
Masuo Suzuki
Department of Applied Physics, Tokyo University of Science,
Tokyo 162-8601, Japan
(Received November 15, 2004)
Abstract:
A topological interaction method is proposed to study
boundary correlation functions and spontaneous magnetization
by introducing a topological interaction
J' to connect spins at two opposite boundaries and by taking
the limit J' →0.
Conceptual relations between the present scheme and
the ghost spin method are discussed.
The present paper gives a general starting point for
subsequent papers on the applications of the present idea.
This method is suggested to be applicable to studying
boundary-boundary spin correlations, boundary
critical dynamics and non-equilibrium stationary flows.
URL :
http://ptp.ipap.jp/link?PTP/113/1391/
DOI : 10.1143/PTP.113.1391
References:
- M. Suzuki, Topological Perturbation and Spontaneous Symmetry Breaking reported
at the meeting of Physical Society of Japan (September 22nd, 2003, Okayama Univ.).
-
C. N. Yang, Rev. Mod. Phys. 34 (1962), 694[APS].
- M. Suzuki, Prog. Theor. Phys. 42 (1969), 1086[PTP].
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P. W. Kasteleyn, J. Math. Phys. 4 (1963), 287[CrossRef].
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E. W. Montroll, R. B. Potts and J. C. Ward, J. Math. Phys. 4 (1963), 308[CrossRef].
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M. Suzuki, Phys. Lett. 18 (1965), 233[CrossRef].
The naming of “ghost spin" was given in Ref. 7).
-
R. B. Griffiths, J. Math. Phys. 8 (1967), 484[CrossRef].
-
B. M. McCoy and T. T. Wu, Phys. Rev. 162 (1967), 436[APS].
- A. D. Sokal, Combinatorics, Probability & Computing 10 (2001), 41.
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C. M. Fortuin and P. W. Kasteleyn, Physica 57 (1972), 536[CrossRef].
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D. C. Mattis, Phys. Lett. A 56 (1976), 421[CrossRef].
See also M. Suzuki, Prog. Theor. Phys. 58 (1977), 1151[PTP].
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M. Suzuki, Phys. Rev. Lett. 28 (1972), 507[APS].
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M. Suzuki, J. Phys. Soc. Jpn. 21 (1966), 2140[JPSJ].
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M. Suzuki and R. Kubo, J. Phys. Soc. Jpn. 24 (1968), 51[JPSJ].
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R. J. Glauber, J. Math. Phys. 4 (1963), 294[CrossRef].
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M. Suzuki, H. Suzuki and S-C. Chang, J. Math. Phys. 46 (2005), 033301[CrossRef].
See also M. Suzuki and H. Suzuki, J. Phys. Soc. Jpn. 73 (2004), 3299[JPSJ].
- H. Suzuki and M. Suzuki, Physica A (2005), in press.
- A. Sugiyama, H. Suzuki and M. Suzuki, Physica A (2005), in press.
