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The second Gibbs paradox.

Daan Frenkel1

  • 1Yusuf Hamied Department of Chemistry, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.

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Summary
This summary is machine-generated.

This study explains Gibbs's second paradox regarding chemical potential in heterogeneous systems. It proposes that understanding point defects in critical nuclei is key to resolving this surface tension-related equilibrium puzzle.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Thermodynamics

Background:

  • J. Willard Gibbs's work on heterogeneous equilibrium presents a paradox concerning chemical potential at interfaces.
  • The paradox arises when surface free-energy density differs from mechanical surface tension for a crystallite in fluid equilibrium.

Purpose of the Study:

  • To interpret Gibbs's and Mullins's approaches to the "second Gibbs paradox."
  • To clarify the chemical potential of a nucleus by considering point defects.

Main Methods:

  • Interpretation of existing theories by Gibbs and Mullins.
  • Focus on the role of vacancies and interstitials in critical nuclei.

Main Results:

  • A framework is presented that accounts for vacancies and interstitials.
  • The chemical potential of a nucleus is clarified through a consistent treatment of point defects.

Conclusions:

  • A consistent treatment of point defects is essential for understanding the chemical potential of nuclei.
  • This interpretation aims to be more accessible to scientists focusing on atomic and molecular perspectives.