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Einstein Solids allow us to move slowly but comprehensively towards the concept of Entropy. Furthermore, this leads to the introduction of the Second Law of Thermnodynamics.

Return to Ther­mo­dy­nam­ics and Stat­ist­ic­al Mechanics

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Video # Video Tutori­al Title Remarks
1 The Mean­ing of Tem­per­at­ure and Heat Is tem­per­at­ure a fun­da­ment­al quant­ity? What’s the dif­fer­ence between temp and heat?
2 Ein­stein Solids 1 Macro & Micro state mul­ti­pli­cit­ies of 2 state sys­tems; non inter­act­ing particles (coins) (Bosons)
3 Ein­stein Solids 2 Micro­state Mul­ti­pli­city when we dis­trib­ute energy amongst vari­ous lin­ear har­mon­ic oscillators
4 Ein­stein Solids 3 Using E.S.1 and E.S.2 to dis­cov­er the real mean­ing of heat
5 Stirling’s Approx­im­a­tion A deriv­a­tion of this approx­im­a­tion for factori­al of a nat­ur­al logarithm
6 Taylor / Mac­Laur­in Series (1+x)n See why (1+x)(1/2) ~= 1+x/2
7 Mul­ti­pli­city of an Ideal Gas (mon­atom­ic) Bring­ing us closer to an expres­sion for and defin­i­tion of Entropy
8 Ein­stein Solids 4 The mul­ti­pli­city for a large Ein­stein Sol­id (requires Taylor Series and Stirling’s Approximation)
9 Ein­stein Solids 5 The sharp­ness of the mul­ti­pli­city func­tion. N.B., for Entropy
10 The sharp­ness of the mul­ti­pli­city func­tion. N.B., for Entropy
11 The Second Law of Thermodynamics Entropy = S = k.ln(w)
12 Entropy What is Entropy?

 

 

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