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Awaiting human review AI-drafted

Outline

  • Ideal gas
  • Interacting systems
  • Thermodynamic surfaces (ideal gas and real systems)
  • Mean field approach
  • Van der Walls equation of state
  • The critical point
  • Magnet-fluid analogy

Scope

  • To analyse the effect of interactions on a fluid with an approximate method (mean field approach) and discover that the interaction among constituents in the system can lead to emergent phenomena such as phase transitions and critical points;
  • to investigate the analogies between magnetic systems and other complex systems as a first touch with universality in phase transitions

The Ideal Gas in the Canonical Ensemble

Thermal de Broglie wavelength

Equation of State

Interacting Systems

Pair interaction

Van der Waals

Equation of State

Entropy

Critical Point