Mini Review Volume 17 Issue 11 - 2025

Maxwell's Demon and Thermodynamic Constraints on the Brain: The Second Law of Thermodynamics

Susumu Ito, Takayuki Matsuto and Katsuhiko Hata*

Research Centre for Mathematical Medicine, Tokyo, Japan

*Corresponding Author: Katsuhiko Hata, Department of Neuroscience, Research Centre for Mathematical Medicine, Tokyo, Japan
Received: October 16, 2025; Published: October 30, 2025



The Second Law of Thermodynamics dictates that closed systems move toward maximum entropy. In the real world, it seems to be defied by highly organized living organisms at first glance. The Maxwell's Demon thought experiment, which appears to generate free energy by using information to selectively sort molecules, highlights a critical link between thermodynamics and information processing. The paradox's resolution-that the necessary erasure of information increases the total entropy of the Demon and its memory-establishes a fundamental thermodynamic cost for information processing, formalized by Landauer's Principle.

The animal nervous system and, by extension, the brain, acts as a sophisticated "local information engine". Its core operation-the collection of information via sensory organs and subsequent action via effectors to maintain internal homeostasis-is fundamentally analogous to the Demon's function. Modern theoretical neuroscience principles, such as Friston’s Free Energy Principle (FEP) and Tononi’s Integrated Information Theory (IIT), implicitly support this thermodynamic view by positing that the brain actively resists entropic decay by minimizing surprisal or maintaining a non-equilibrium, integrated causal structure. The Thermodynamic Uncertainty Relation (TUR) provides a more stringent constraint, defining a mandatory cost-precision trade-off: the metabolic energy (entropy generation) required for the brain to achieve a specific level of precision (low noise) in its information processing, like neuronal spike generation. A key remaining open question is if the thermodynamic imperative of information erasure in the brain-processes of forgetting may represent the biological equivalent of the Demon’s necessary memory reset to avoid a prohibitive energetic cost of perpetually storing data.

 Keywords: Maxwell's Demon; Second Law of Thermodynamics; Landauer's Principle; Free Energy Principle (FEP); Integrated Information Theory (IIT); Thermodynamic Uncertainty Relation (TUR); Information Erasure

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Katsuhiko Hata., et al. “Maxwell's Demon and Thermodynamic Constraints on the Brain: The Second Law of Thermodynamics”. EC Neurology  17.11 (2025): 01-04.