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A cycle of measurements was carried out to study the Mpemba effect of liquid cooling. By means of a three-point pattern using the apparatus of almost periodic functions the trend of the process is determined. Comparisons with previously obtained results are presented. A generalized mathematical model of the process with seven bifurcation points is obtained. The assumption about the role of these points for the study of the shuga is made. The principle of constructing the Mpemba point by calculating diffeomorphisms of Lie algebras of the family of characteristic curves is defined.

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Toward a Mathematical Description of the Mpemba Effect

  • 会议论文

  • 发表日期：

    2025年

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  • Roman I. Dzerjinsky,
  • Timur E. Anosov

摘要

A cycle of measurements was carried out to study the Mpemba effect of liquid cooling. By means of a three-point pattern using the apparatus of almost periodic functions the trend of the process is determined. Comparisons with previously obtained results are presented. A generalized mathematical model of the process with seven bifurcation points is obtained. The assumption about the role of these points for the study of the shuga is made. The principle of constructing the Mpemba point by calculating diffeomorphisms of Lie algebras of the family of characteristic curves is defined.