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Brain Imaging Investigation of the Memory-Enhancing Effect of Emotion
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Thermomajorization Mpemba Effect.

Tan Van Vu1, Hisao Hayakawa1

  • 1Yukawa Institute for Theoretical Physics, Center for Gravitational Physics and Quantum Information, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.

Physical Review Letters
|March 28, 2025
PubMed
Summary
This summary is machine-generated.

The Mpemba effect, where hot systems cool faster than cold ones, is now rigorously quantified using thermomajorization theory. This new approach resolves ambiguities and unifies understanding of this physical phenomenon across all measures.

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Area of Science:

  • Physics
  • Thermodynamics
  • Quantum Mechanics

Background:

  • The Mpemba effect describes the counterintuitive observation that a hot system can cool faster than a cooler one.
  • Recent theoretical and experimental work has explored the Mpemba effect in microscopic systems.
  • Conventional theories face ambiguities due to the choice of distance measure for relaxation speed.

Purpose of the Study:

  • To rigorously quantify the Mpemba effect using a novel theoretical framework.
  • To resolve existing theoretical ambiguities in Mpemba effect research.
  • To unify the understanding of the Mpemba effect across different measures and dynamics.

Main Methods:

  • Derivation of a rigorous quantification based on thermomajorization theory.
  • Application of thermomajorization principles to analyze relaxation dynamics.
  • Demonstration of the effect's generality for Markovian dynamics with fixed energy levels.

Main Results:

  • Introduction of the "thermomajorization Mpemba effect" as a unified framework.
  • Resolution of ambiguities present in conventional Mpemba effect theories.
  • Proof that the thermomajorization Mpemba effect is general for Markovian dynamics across all temperature regimes.

Conclusions:

  • Thermomajorization theory provides a robust and unambiguous framework for understanding the Mpemba effect.
  • The thermomajorization Mpemba effect offers a unified perspective applicable to various monotone measures.
  • This generalized understanding has implications for diverse physical systems exhibiting non-equilibrium dynamics.