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Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].

1 vote
1 answer
196 views

Number of microscopic states which have the same set of occupation numbers

The question is as follow: A state of a system of many noninteracting particles can be specified by listing which particle is in which of the accessible single particle states. In each micro …
WeiShan Ng's user avatar
2 votes
1 answer
828 views

Probability depends on volume dependence of the multiplicity function?

The formula for the multiplicity of a monoatomic ideal gas is $$\qquad \Omega(U,V,N)=f(N)V^NU^{3N/2}$$ where $V$ is the volume of position space, $U$ is the molecule's kinetic energy, $N$ is the …
WeiShan Ng's user avatar
0 votes
0 answers
41 views

Fluid dynamics - boundary later equation $f'''+ff''-f'^2+\theta = 0$ and $\theta''+Prf\theta...

Our lecturer gave us a system of boundary layer equations: $$\begin{align}f'''+ff''-f'^2+\theta &= 0 \\ \theta''+Prf\theta'&=0 \end{align}$$ subject to boundary conditions: $$f=f'=0, \qquad \t …
WeiShan Ng's user avatar
0 votes
0 answers
598 views

Shear stress and surface heat transfer rate with various Pr values

I'm revising for my Fluid Mechanics exam, and came across a question that ask us to explain the behaviour of the shear stress and surface heat transfer rate with various Pr values. The question is …
WeiShan Ng's user avatar
1 vote
1 answer
224 views

Why do we ignore the initial entropy when computing the mixing entropy of an ideal mixture?

For a dense system we assume that the two types of molecules are the same size and that molecules of different types interact with each other in the same way as molecules of the same type (same forces …
WeiShan Ng's user avatar
2 votes
2 answers
2k views

Why is that a system with a concave-up entropy-energy graph cannot have a stable thermal equ...

This is from Schroeder's An Introduction to Thermal Physics: Let A and B be a system both with a concave-up entropy-energy graph. The systems will achieve thermal equilibrium when they are at the sa …
WeiShan Ng's user avatar