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Lecture 8 Classical vs. Statistical Thermodynamics

Lecture 8 Classical vs. Statistical Thermodynamics. Ensemble averages meaning of β State functions as a function of Q meaning of γ Fluctuations. Ensemble averages. Number of particles Pressure Energy. To connect with classical thermodynamics we need to know what are  and .

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Lecture 8 Classical vs. Statistical Thermodynamics

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  1. Lecture 8 Classical vs. Statistical Thermodynamics • Ensemble averages • meaning of β • State functions as a function of Q • meaning of γ • Fluctuations

  2. Ensemble averages Number of particles Pressure Energy To connect with classical thermodynamics we need to know what are  and 

  3. Conservation of Energy In canonical ensemble Also energy of a given state is only function of N and V, Ei=Ei(N,V) For constant N

  4. Conservation of Energy - 2 Heat Work

  5. Conservation of Energy - 3 Also where  is the chemical potential

  6. Helmholz Free Energy Statistical mechanics defined Helmholz free energy, entropy and energy Thus In canonical ensemble thus

  7. Other State Functions We showed that We also showed that thus Entropy Pressure

  8. Fluctuations

  9. Fluctuations -2 In the thermodynamic limit, N, fluctuations in intensive thermodynamic properties are not measurable

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