Statistical Physics

Contents:

• Classical Statistics
  • Kinetic Theory
    • Average kinetic energy of ideal gas from temperature
      • average_kinetic_energy
      • equilibrium_temperature
      • law
    • Gas mixture pressure from partial pressures
      • total_pressure
      • partial_pressure
      • law
    • Internal energy change of ideal gas via temperature
      • internal_energy_change
      • isochoric_heat_capacity
      • temperature_change
      • law
    • Internal energy of ideal gas via temperature
      • internal_energy
      • mass
      • temperature
      • molar_mass
      • law
    • Mean free path of particles in gaseous medium
      • mean_free_path
      • pressure
      • temperature
      • cross_section
      • law
    • Mean free path of random motion
      • mean_free_path
      • molecular_diameter
      • number_density
      • law
    • Number of impacts on the wall from area and speed
      • impact_count
      • number_density
      • area
      • velocity_projection
      • time
      • law
    • Pressure from number density and kinetic energy
      • average_kinetic_energy
      • number_density
      • pressure
      • law
  • Maxwell—Boltzmann Statistics
    • Average speed in Maxwell—Boltzmann statistics
      • average_speed
      • equilibrium_temperature
      • molecular_mass
      • law
    • Average square speed in Maxwell—Boltzmann statistics
      • average_square_speed
      • equilibrium_temperature
      • molecular_mass
      • law
    • Energy distribution
      • energy
      • energy_distribution_function
      • equilibrium_temperature
      • law
    • Most probable speed
      • most_probable_speed
      • equilibrium_temperature
      • molecular_mass
      • law
    • Speed distribution
      • speed_distribution_function
      • particle_speed
      • particle_mass
      • equilibrium_temperature
      • law
    • Velocity component distribution
      • velocity_component_distribution
      • velocity_component
      • particle_mass
      • equilibrium_temperature
      • law
    • Pressure of ideal gas from height and temperature
      • final_pressure
      • initial_pressure
      • molecular_mass
      • height_change
      • temperature
      • law
    • Single-particle discrete distribution
      • occupancy_of_state
      • particle_count
      • energy_of_state
      • equilibrium_temperature
      • single_particle_partition_function
      • law
• Statistical Ensembles
  • Canonical Ensemble
    • Boltzmann factor via state energy and temperature
      • boltzmann_factor
      • energy_of_state
      • equilibrium_temperature
      • law
    • Canonical partition function of a classical discrete system
      • partition_function
      • boltzmann_factor
      • law
  • Microcanonical Ensemble
    • Entropy from statistical weight
      • entropy
      • statistical_weight
      • law
    • Probability of finding ideal gas molecules in volume
      • probability
      • total_volume
      • partial_volume
      • particle_count
      • law
    • Probability of ideal gas macrostate
      • macrostate_probability
      • statistical_weight
      • particle_in_cell_probability
      • particle_count_in_cell
      • law
    • Statistical weight of macrostate
      • statistical_weight
      • particle_count_in_state
      • law
• Occupancies
  • Total particle count is sum of occupancies
    • total_particle_count
    • occupancy
    • law
• Quantum Statistics
  • Bosé—Einstein Statistics
    • Single particle state distribution
      • occupancy_of_state
      • energy_of_state
      • total_chemical_potential
      • temperature
      • law
  • Fermi—Dirak Statistics
    • Single-particle state distribution
      • occupancy_of_state
      • energy_of_state
      • total_chemical_potential
      • temperature
      • law
  • Parameters (Quantum Statistics)
    • Thermal de Broglie wavelength
      • thermal_wavelength
      • mass
      • temperature
      • law
• Relativistic Statistics
  • Maxwell—Jüttner Statistics
    • Maxwell—Jüttner distribution
      • distribution_function
      • lorentz_factor
      • reduced_temperature
      • law
    • Reduced temperature in Maxwell—Jüttner statistics
      • reduced_temperature
      • temperature
      • particle_mass
      • law