Recent content by SeniorTotor

You simply have to integrate (sum over the transformation path) dS=\frac{dU}{T} + \frac{PdV}{T} - \sum_i \frac{\mu_i dN_i}{T} Fourier's law tells you that dU=\rho c dT hence what is written above. You could also ask yourself what has happened with the second term (the last one is irrelevant...

The answer is fully detailed in Callen, Thermodynamics and an Introduction to Thermostatistics. Please, borrow this famous book in your favorite library...

Would you, please, describe the physical problem you're trying to solve?

Coefficient of thermal expansion (numerical values are given in handbooks of physics)... \alpha=\frac{1}{V}\left(\frac{\partial V}{\partial T}\right)_P reads also... \Delta T=\frac{\Delta V}{\alpha V}

This two works are barely the same. Let me give you the simplest example. Internal energy is U = U(S, V, N) with dU = TdS - PdV + \sum \mu dN -PdV = dW being the elementary mechanical work. You get precisely the same elementary work with mechanics of continuous media (consider the...

Well, it depends on the constraints that act on the physical system of interest. From a dynamical point of view, the basic assumption is that the system dynamics must be ergodic. Roughly speaking, it means that the phase space must be densely covered by the system trajectories. This kind of...

Mechanics is mechanics. Lagrange and Hamilton mechanics are both known as analytical mechanics. The treatment is just more conceptual and more mathematical. It depends if you like formalism. Anyway, give it a try: sometimes it is easier (especially for systems with several degrees of freedom) to...

A really nice reference is Callen (thermodynamics and an introduction to thermostatistics). Alas, quantum proofs are easier to draw than classical ones (have a look in Landau, Huang and Khinchine books, technical), but you really don't need QM (that is discrete states over the phase space) to...

Perhaps you should have a look in Arnold's mathematical methods of mechanics; see also Landau and Goldstein books.

@ Count Iblis: I totally agree with you. LL series is outstanding, I really love it, and everybody would agree on that point. I was just trying to give some less straightforward references which could help. Goldstein and Arnold books really don't have simple problems, and are by far deeper and...

@Masudr: Now I do.

[FONT="Times New Roman"]Hi Pals, It sounds like you all need to work your mechanics lecture notes... W_{A \to B} = \int_{t_A}^{t_B} \textbf{F} \cdot \textbf{v}\ dt where \textbf{F} is the external applied force and \textbf{v} the velocity \delta W = \textbf{F} \cdot...

Hi pals, Well momentum is made of two things : inertia, that is mass, and velocity. You get a better idea of the motion with momentum, because the velocity is weigthed by the mass. Think about a real motion in real life! (Of course, a lot can be said about conseravtion laws, analytical...

Dear Mapes, Don't be impressed or puzzled by this terminology. Basically speaking, a Green function / propagator is merely the solution of a (partial) differential equation with a delta-function right hand side (the source). It is useful to get the PDE solution with more complex source...

Classical mechanics reference Dear Huishui, First let me answer in a simple manner your question about q and dot q: Basically speaking, a lagrangian is usually kinetic energy, that is squared velocity, minus potentiel energy, which is usually a function of the coordinates (could be...