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Statistical Mechanics
Rating: 4.4 out of 5(5 ratings)
94 students

Statistical Mechanics

Statistical Physics
Created byShyamal Mukherjee
Last updated 3/2019
English

What you'll learn

  • Student will achieve the clear basic knowledge and also knowledge of advance level of Statistical Mechanics.
  • It will be extremely helpful for exam preparation as well as for preparation in Degree level.
  • It will also make the student interested to several statistical phenomena like Entropy, Distribution Function, .
  • Partition Function, Degree of Freedom, Fermi Energy, Condensation, Gibb's Paradox, Specific Heat, Brownian Motion, Richardson and Dushmann Equation...etc

Course content

1 section • 30 lectures • 5h 24m total length

  • Introduction4:05
  • Basic Concept of Statistical Mechanics11:49
  • Thermodynamical Way and Mathematical Probability6:57
  • Concept of Phase Space4:50
  • Distribution Function in MB Statistics16:18
  • Statistical Interpretation of Entropy10:53
  • Partition Function in Statistical Mechanics14:14
  • Entropy in terms of Partition Function13:12
  • Gibb's Paradox in Statistical Mechanics6:40
  • Sakur Tetrode Formula12:10
  • Chemical Potential in Thermodynamic Equilibrium9:10
  • Distribution Function in FD Statistics15:12
  • Nature of FD Distribution Function7:36
  • Fermi Level Energy in FD Statistics6:16
  • Pressure of Fermi Gas Electron System2:59
  • Internal Energy of Fermi Gas Electron in Conductor7:55

    Derives the internal energy of a Fermi gas of electrons in a conductor and presents the zero-point energy expression at zero kelvin.

  • Equipartition Law of Energy14:52
  • Richardson Dusmann Equation from FD Statistics16:02

    Using Fermi-Dirac statistics, the lecture derives the Richardson-Dushman current density for thermionic emission, linking the electron emission rate to the surface work function and temperature.

  • Non Degenerate and Degenerate Fermi Gas4:46
  • Distribution Function in BE Statistics15:02
  • Planck's Black Body Radiation Formula from BE Statistics10:36
  • Wein's Displacement Law11:14

    Explore how a black body’s energy density peaks at a temperature-dependent wavelength, illustrating Wien’s displacement law and the Planck distribution that links lambda max to temperature.

  • Stefan Boltzmann Law of Black Body Radiation5:08

    Explore Stefan-Boltzmann law within statistical mechanics, deriving black body energy density and total energy, introducing the Stefan-Boltzmann constant and its relation to temperature.

  • Wein's and Rayleigh-Jeans Radiation Formula4:05
  • Conversion of FD and BE Statistics to MB Statistics3:29
  • Comparison between Boson and Fermion5:51

    Compare bosons and fermions in quantum statistics, highlighting indistinguishable, identical particles, spin characteristics, and their distinct distributions: Bose-Einstein vs. Fermi-Dirac, and the Pauli exclusion principle.

  • Einstein's Theory of Specific Heat of Solid14:53
  • Dybye's Theory of Specific Heat of Solid34:57

    Explore Debye's model of specific heat in solids, treating them as a continuous elastic medium to derive the low-temperature T^3 law and high-temperature Dulong-Petit limit.

  • Einstein's Theory of Brownian Motion15:13
  • Lagevin's Theory of Brownian Motion18:28

Requirements

  • Be ready with Pen and Paper to take notes (when required) when you are watching video being a student of both Physics and Mathematics.

Description

My dear Students you all know in Physics Statistical Mechanics is a particular bunch of Physics. In which both Macro and Micro system are dealed in respect of the behavior of every constituent but not as a whole. That is why Statistical approach is quite different from Thermodynamic approach. In this course, both Classical and Quantum Statistics are discussed in respect of their most probable distribution, conversion and applications. Here several Thermodynamic Parameters and their characteristics are derived and discussed in Statistical way. Not only that but also the Theory of Specific Heat of solid, Planck's Black Body Radiation Theory and its consequences, Fermi energy state for Free Electron Gas inside metal, Richardson-Dushmann Equation for Thermionic Emission of Electron, Einstein's Theory of Brownian Motion with Langevin's Extension for verification of Avogadro Number along with Gibb's Paradoxical Error and its removal for Entropy Function of gaseous system etc. all are carefully and easily discussed for students realization. Student will be benefited with this high level course when developed at very easy way. I hope the student will collect this course for their easy practice and easy realization about Statistical Mechanics. For more courses you can check out my website CT Physics.

Who this course is for:

  • Student of Honours and +2 Level having Physics or Mathematics as Main Subject and also for Students preparing for Competitive Exams.

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