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Results tagged with thermodynamics
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user 3036
Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].
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Quantum mechanical entropy. (taken from the solution manual of Kardar's particles' book)
A QM system (defined by a Hamiltonian $H$), at temperature $T$, is described by a density matrix $\rho(t)$, which has an associated entropy $S(t)=-tr(\rho(t) \ln \rho(t)$.
Now the question is:
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A derivation in problem 3.1 of Problems on Statistical Mechanics.(by Dalvit, et al)
My question is regarding the following derivation:
First the problem itself as stated in the book:
Find the entropy $S(E,V,N)$ of an ideal gas of $N$ classical monatomic particles, with a fixed to …
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A relation between Gibbs Entropy and Boltzmann Entropy
We have Gibbs Entropy which is defined as $S_G(U,V,N)=k_B \ln \Omega_0$, where $\Omega_0$ is the number of microscopic states with energy equal or smaller than $U$. Note that this definition differs f …