Maxwell's Demon must remain sebservient to Clausius's statement

TL;DR

The paper argues that Maxwell's demon cannot violate the second law of thermodynamics because spontaneous equilibration processes prevent it from creating a persistent temperature difference, thus supporting Clausius's statement.

Contribution

It demonstrates that classical thermodynamics constrains Maxwell's demon, showing it cannot break the second law due to natural equilibration mechanisms.

Findings

Maxwell's demon is unable to create a sustained temperature difference.

Spontaneous counterflows restore equilibrium, preventing second law violations.

Demon's actions inadvertently support the second law.

Abstract

Using classical thermodynamics, we argue that Maxwell's demon loses its battle against Clausius as any temperature difference or other thermodynamic forces it creates is immediately compensated by spontaneous counterbalancing flows that bring about equilibration by slower particles in principle. Being constrained by these spontaneously generated equilibration processes in which he actively but unwittingly participates, the demon is incapable of destroying equilibrium and violating the second law. In fact, our investigation shows that he is unintentionally designed to support it, and does not alter the temperature.