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Simplifying experiments with a Mandelbrot set model of the phase transition theory

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Abstract

The study of the Mandelbrot set (MS) is a promising new approach to the phase transition theory. We suggest two improvements which drastically simplify the construction of the MS. They could be used to modify existing computer programs so that they start building the MS properly not only for the simplest families. This allows us to add one more parameter to the base function of the MS and demonstrate that this is not enough to make the phase diagram connected.

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    A. Morozov

  2. Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia

    A. Morozov

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  1. A. Morozov
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Correspondence to A. Morozov.

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The text was submitted by the author in English.

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Morozov, A. Simplifying experiments with a Mandelbrot set model of the phase transition theory. Jetp Lett. 86, 745–748 (2008). https://doi.org/10.1134/S0021364007230142

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  • DOI: https://doi.org/10.1134/S0021364007230142

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