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P 4 “a cn SICS-C XIV: STATISTICAL MECHANICS Tedits: Theory-04, Practicals-02) Theory: 60 Lectures Classical Statistics: Macrostate and Microstate, Phase Space, Elementary Concept of Ensemble, Entropy and Thermodynamic Probability, Maxwell-Boltzmann Distribution Law, Partition Function, Thermodynamic Functions of an Ideal Gas, Classical Entropy Expression, Gibbs Paradox, Sackur Tetrode equation, Law of Equipartition of Energy (with proof)- Applications to Specific Heat and its Limitations, Thermodynamic Functions of a Two-Energy Levels System, Negative Temperature. (18 Lectures) Classical Theory of Radiation: Properties of Thermal Radiation. Blackbody Radiation. Pure temperature dependence. Radiation Pressure. Kirchhoff’s law. Stefan-Boltzmann law: Thermodynamic proof. Wien’s Displacement law. Wien’s Distribution Law. Saha’s Tonization Fonnula. Rayleigh-Jean’s Law. Ultraviolet Catastrophe. (9 Lectures) Quantum Theory of Radiation: Spectral Distribution of Black Body Radiation. Planck’s Quantum Postulates. Planck’s Law of Blackbody Radiation: Experimental Verification. Deduction of (1) Wien’s Distribution Law, (2) Rayleigh-Jeans Law, (3) Stefan-Boltzmann Law, (4) Wien’s Displacement law from Planck’s law. (5 Lectures) Bose-Einstein Statistics: B-E distribution law, Thermodynamic functions of a strongly Degenerate Bose Gas, Bose Einstein condensation, properties of liquid He (qualitative description), Radiation as a photon gas and Thermodynamic functions of photon gas. Bose derivation of Planck’s law. (13 Lectures) Fermi-Dirac Statistics: Fermi-Dirac Distribution Law, Thermodynamic functions of a Completely and strongly Degenerate Fermi Gas, Fermi Energy, Electron gas ina Metal, Specific Heat of Metals, Relativistic Fermi gas, White Dwarf Stars, Chandrasekhar Mass Limit. (15 Lectures) Llassical Alatistcs. fay aah ‘ Hu Ye tt , ULM rd explain by “ 4 eee Se ee ae but for clean | Lae eae Ths te want’ cathe a nn problyr. 4, Atesysiod muchout jen 3 ey I, fet Mechonies & te bawch of seeder wttel indeapret or es an poles Se gs oe Gq pebebiy: T) To ssivg Hn olistingaLis hoble (ein pie krow for cow | tein = No. q Ablonas = =2 for 2am = 4H tor Zan = & outcry 2). New we fhetice of Aad dw oan | healt. Evert _ Event tol toim2 = ton BNO of Mags. Puobablity Znead bal La} H 4 Ye 2 Weak H H T 4 T H 3 39a T H H Wook K T T : i 4 T Ss 3/8 T i H rn Head Tv — il = NI for | Huow 1) (N-n)) dn Gorunal Uys _N! nil 12) ng) ----- Mel Ske = NI J Th "e! ates EY Mactocdale . Mictestade :. A Microb 6 Micros tak a 4 Apeci}icol by He wii has topic feces “ty igor. vo order fo Apecify 2 mMiltetlede ne hove fo Repo how ifinguithele Farbichs: Af tuo jolie A LB ote jwduchapug Di lia tha dem aca ancl ase Aetult ure qt a mau Adede . Than the posticla aw fais to be Srolistingulshable fastela: I} tuo parbilu APB ou Vaterchogig dart by Sd) _D Sf tee Syters a am Cgpullbian Hen att ae ae how Maxi mown no. of wu re Uling is Afpcoxlwastcry -pormte. ee ages. | Hts apportion fo frurol re dacdonat of sal? ”. trample of a finite Auk Aylin tla Ww ; N= 3 magiude Atpolis fossible cee y41 1 Wty Wh My wr Wy . Seen aay: (Macostades ) 3h be - By. (Novel tbls Il to B) Tohed Macesstate | Novas micuastade Hag. Kousck Mittertte, 3 ve 3p 2 3 m 9 4 3 ” (o) 4 Lae Todat . No. q micteslely, a ae g \ N> occdlelos J lw, 6) = (€+Nn-!) > 4, GC El (N-1)) Ex Entegy am Jur, No of MiceethA. Merepitedt Pasticlan 1D ¢% Px) 2 dim. Particly tm 20 (my,brby) 4 Pim Peake ain 3S Cn Y,2,buby bz) 6 kur. * iN i) Ix} 4 . Mt paticl WZ [or 4x L » x U———-> Ma Chaisitas Mebowet uQ. P Ky bust a an aun) (L) 4. Pasticl, 2» | ollm Conia a particle Aas wrometin (o
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