Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.21765v1</id>\n    <title>Strict Entropy Decrease of Clausius Entropy in an Isolated System with Energy-Form Conversion: Theoretical Proof, Numerical Illustration, and Critical Examination</title>\n    <updated>2026-03-23T10:04:57Z</updated>\n    <link href='https://arxiv.org/abs/2603.21765v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.21765v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>This paper is accountable only to explicitly stated physical assumptions and strict logical inference. Its goal is to run a rigorous stress test of second-law claims within the Clausius framework. We work directly with \\textbf{Clausius's entropy definition} for an isolated composite with energy-form conversion. Heat is withdrawn from a cold releasing subsystem with relatively small heat capacity, converted to electrical energy, and then delivered as heat to a hotter subsystem. In the ideal limit, the electrical leg contributes negligibly to Clausius entropy accounting, so the modeled reservoir Clausius sum is \\[ ΔS_{\\mathrm{Cl}} = Q\\!\\left(\\frac{1}{T_B}-\\frac{1}{T_A}\\right) &lt; 0. \\] The paper provides a derivation, numerical illustrations, and a scope analysis; any claimed contradiction should be interpreted as a compatibility issue between different axiom sets, not as an algebraic error in the Clausius bookkeeping above.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='cond-mat.stat-mech'/>\n    <published>2026-03-23T10:04:57Z</published>\n    <arxiv:primary_category term='cond-mat.stat-mech'/>\n    <author>\n      <name>Ting Peng</name>\n    </author>\n  </entry>"
}