Abstract
In the microcanonical ensemble suitably defined observables show non-analyticities and power law behaviour even for finite systems. For these observables a microcanonical finite-size scaling theory is established which facilitates an approach to the critical exponents of the infinite system.
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In the case of an Ising system, the specific enthalpy e is given by the interaction energy: ε= —L-dJ Σ(i, j) SiSj, i.e., ε does not contain the field dependent term hΣi Si of the Ising Hamiltonvan.
M. Kastner, M. Promberger, A. Hüller, in “Computer Simulation Studies in Condensed Matter Physics XI”, Eds. D.P. Landau, H.-B. Schüttler, Heidelberg (1998).
The zero-field magnetization and the susceptibility can be expressed in terms of ε,ε* or.The corresponding functions are denoted by m, x; m* x* or m, x-.
C. DiCastro, G. Jona-Lasinio, in “Phase Transitions and Critical Phenomena” Vol. 6, Eds. C. Domb, M.S. Green, London (1976).
H.E. Stanley, “Introduction to Phase Transitions and Critical Phenomena”, Ap-pendix C, Oxford (1971).
M. Kastner, M. Promberger, A. Hüller, to be published.
M.E. Fischer, M.N. Barber, Phys. Rev. Lett. 28, 1516 (1972).
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© 2000 Springer-Verlag
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Promberger, M., Kastner, M., Hüller, A. (2000). Magnetic Properties of Finite Systems: Microcanonical Finite-Size Scaling. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XII. Springer Proceedings in Physics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59689-6_18
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DOI: https://doi.org/10.1007/978-3-642-59689-6_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64086-5
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