Hey welcome to my notes page for 7310 (Spring 2023)! If ur here, I'm sorry about your luck <3 Abs General Info Location: University of Utah, JFB 3rd floor cursed room Professor: Dr. Andrey Rogachev Course website Course reference materials Some helpful quick ref - esp for ensembles

Ensembles Super helpful guide here Name Fixed Free Z Notes Canonical

7310 Course website (From Doc Rogachev's physics.utah page) Kittel, Kroemer - Thermal Physics (the one in your ~/Downloads is better & searchable) Sethna - Entropy, Order Parameters, and Complexity Schroeder - Thermal Physics Stowe - Thermodynamics and Statistical Mechanics (undergrad book)

Readings (reference material) Reading Kittel Chapter 2 Sethna Chapter 3 Notes Lecture 03 class notes 1st Law of Thermodynamics / The Thermodynamic Identity $dS = (\frac{\partial S}{\partial E}){VN} dE + (\frac{\partial S}{\partial V}){EN} dV + (\frac{\partial S}{\partial N})_{EV} dN$

Readings (reference material) Reading Kittel Ch. 3 Reading Sethna Ch 6.1, 6.2 Notes Lecture 03 class notes Ensembles A statistical ensemble is a collection of all accessible microstates of a system with associated probabilities. Canonical ensembles are the collection of possible states of a mechanical system in thermal equilibrium with a heat bath (or reservoir) at a fixed temperature T

Readings (reference material) Kittel Chapter 1 Maxwell distribution, Kittel pages 391-394 Notes Lecture 01 class notes Statistical mechanics uses probabilities to describe systems of many particles. For many-particle systems, we can't describe easily with either QM or CM. However, laws emerge that govern such systems which build from the concepts of entropy, temperature, free energy. Tons of observations have led us to the fundamental assumption of statistical mechanics: Fundamental assumption

Reading none provided yet Notes class notes Grand Canonical Ensembles T is fixed. N, E can be exchanged between system and reservoir. Reservoir is huge, so chemical potential $\mu$ stays the same

Reading "No good reading" lol :pray: This might be helpful though. Check out section 5. Notes Generalized force, displacement, and work Using the 1st law of thermo: $dE = TdS - PdV + \mu dN$ $\hspace{.8cm} = heat + work$

Term Description canonically conjugate variables Pairs of variables mathematically defined in such a way that they become Fourier transform duals, which leads to an uncertainty relation between them. Conjugate variables are related by Noether's theorem, which states that if the laws of physics are invariant with respect to a change in one of the conjugate variables. <br> Notation: p, q denote the position, momentum pair canonical ensemble A very large number of identically prepared systems (real or imagined). The collection of possible states of a mechanical system in thermal equilibrium with a heat bath (or reservoir) at a fixed temperature T. See Stowe p 329 canonical transformation

Readings (reference material) Sethna Chapter 2 Notes Lecture 02 class notes Random walk follows a binomial Central Limit Theorem