Critical Phenomena

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Critical Phenomena
Robert van Meer, Leiden Institute of Chemistry
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Outline

• Critical Exponents
• Thermodynamic Models
• Renormalization Group Theory
• Universality

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The Critical Point
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Latent Heat
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Heat Capacity for Liquid-Vapor Transition
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Heat Capacity for Critical Transition
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The a Exponent
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The a Exponent
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The a Exponent
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The a Exponent
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The ß Exponent
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The ? Exponent
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The ? Exponent
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Critical Opalescence
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The d Exponent
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Correlation

• T/Tc 0.97

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Correlation

• T/Tc 0.99

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Correlation

• T/Tc 1

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Correlation

• T/Tc 1.01

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Correlation

• T/Tc 1.06

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Correlation

• T/Tc 1.15

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The ? Exponent
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The ? Exponent
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Scaling Laws
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Gas Lattice Model
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Gas Lattice Model
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Mean Field Theory
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Renormalization Group Theory
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Renormalization Group Theory
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Van der Waals
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Universality-Binary Fluids
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Universality
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Universality
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References

• Introduction to Phase Transitions and Critical
  Phenomena, H. Eugene Stanley,1971
• The Theory of Critical Phenomena, an introduction
  to the renormalization group, J.J. Binney,1992

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Questions?