Thermal Physics |
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Page 84
... GIBBS FACTOR The single most useful result of statistical mechanics is found on combin- ing ( 6 ) and ( 12 ) : P ... Gibbs factor.1 The Gibbs factor is pro- portional to the probability that the system is in a state l of energy and ...
... GIBBS FACTOR The single most useful result of statistical mechanics is found on combin- ing ( 6 ) and ( 12 ) : P ... Gibbs factor.1 The Gibbs factor is pro- portional to the probability that the system is in a state l of energy and ...
Page 86
... Gibbs factors taken over all states of the system for all num- bers of particles is a most useful function to have in calculations . We observe first that the sum is the normalizing factor that converts relative probabilities to ...
... Gibbs factors taken over all states of the system for all num- bers of particles is a most useful function to have in calculations . We observe first that the sum is the normalizing factor that converts relative probabilities to ...
Page 89
... factor for all states I for which the number of particles in the system is con- stant and equal to N. The ratio of ... Gibbs factor , so the partition function is the proportionality factor between the probability P ( e ) and the ...
... factor for all states I for which the number of particles in the system is con- stant and equal to N. The ratio of ... Gibbs factor , so the partition function is the proportionality factor between the probability P ( e ) and the ...
Contents
STATES OF THE MODEL SYSTEM | 11 |
AN ELEMENTARY SOLUBLE SYSTEM | 17 |
SHARP PEAK OF gN | 19 |
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approximation Boltzmann bosons calculated Carnot cycle chemical potential classical regime closed system cm³ combined system concentration defined definition denote derivative diffusive contact dipole distribution function electric field electron energy levels ensemble entropy equal equation equilibrium ergs example expansion experimental Fermi energy Fermi gas Fermi-Dirac fermions Figure fluctuations flux fractional free energy free particle frequency gases given grand sum He¹ He³ heat capacity helium ideal gas law increase integral isothermal kinetic lattice liquid low temperature m₁ magnetic field magnetic moment model system molecule N₁ negative temperature number of accessible number of atoms number of particles occupied P₁ partition function photons plotted pressure probable configuration Problem properties quantity quantum number reservoir result spin excess superfluid system in thermal term thermal average thermal contact thermodynamic potential total number U₁ unit velocity versus volume white dwarf ат