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<p>We derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton’s equations perturbed by an external deterministic chaotic force acting like a magnetic field.</p>

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Heat equation from a deterministic dynamics

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月20日

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  • Giovanni Canestrari,
  • Carlangelo Liverani,
  • Stefano Olla

摘要

We derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton’s equations perturbed by an external deterministic chaotic force acting like a magnetic field.