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A Hurwitz-Pair Approach to the Pre-Melting Problem

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Deformations of Mathematical Structures II

Abstract

The pre-melting at the crystal surface is one of the most interesting and recently studied surface phenomena. In this contribution the pre-melting is considered as an example for illustration of the idea of a stochastic space discussed in connection with the Clifford-analytical formulation related to Hurwitz pairs of bidimension (8,5). We confine ourselves to the curved case where only one structural Clifford-algebraic constant is involved. The space fluctuations influence on the melting temperature shifting it to lower values. The conditions for the existence of pre-melting are also changed.

Research supported by the cooperation agreements between the Instituto Politécnico Nacional and the Institute of Mathematics of the Polish Academy of Sciences, Instituto Politécnico Nacional and the University of Łódź, and by the Grant PB 2 0194 91 01.

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© 1994 Springer Science+Business Media Dordrecht

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De Landa Castillo Alvarado, F., Puente, G.C., Ławrynowicz, J., Wojtczak, L. (1994). A Hurwitz-Pair Approach to the Pre-Melting Problem. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures II. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1896-5_12

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  • DOI: https://doi.org/10.1007/978-94-011-1896-5_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4838-5

  • Online ISBN: 978-94-011-1896-5

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