Recent content by DreadyPhysics

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    Graduate Carnot Cycle and Reversibility

    Point taken, "flux" was a poor choice of words. A further point in the thread that the second law only applies to reversible processes is also an important distinction. This thread has been very helpful, and I might return with more questions shortly.
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    Graduate Carnot Cycle and Reversibility

    I get that heat won't leave or enter the piston, thanks to its adiabatic walls. But will friction within the system generate heat (as it generates entropy?) I suppose it must- but then Δq must refer to heat entering or leaving the system; a heat flux if you will (as ΔS would be an entropy flux.)...
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    Graduate Carnot Cycle and Reversibility

    Thanks guys, that actually helps a great deal. I'm still unclear on the distinction between adiabatic and reversible, though. It would seem to me that all adiabatic processes have to be reversible (if done slowly, I guess) in the sense that Δq = 0 by definition, so ΔS=0 by definition, and as...
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    Graduate Carnot Cycle and Reversibility

    I'm trying to resolve some of my conceptual sticking points with the Carnot cycle. For one thing, I'm reading Reiss's Methods of Thermodynamics, and he offers a proof that the Carnot cycle obtains maximum efficiency when conducted reversibly. How can the cycle be conducted reversibly? During...
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    Graduate Why is rotational energy not included in the Hamiltonian for an ideal gas?

    Well it would be nice to have some reference to those reasons :)
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    Graduate Why is rotational energy not included in the Hamiltonian for an ideal gas?

    But cannot a single atom rotate on its own axis like a top?
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    Graduate Why is rotational energy not included in the Hamiltonian for an ideal gas?

    When using the equipartition theorem to derive the heat capacity of an ideal gas, you have \left\langle H \right\rangle=\left\langle \frac{1}{2}m\left(v^{2}_{x}+v^{2}_{y}+v^{2}_{z} \right) \right\rangle and each degree of freedom contributes 1/2 kT to the total energy and 1/2 k to the total...
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    Is Perception the Same as Reality?

    Well, to be precise, Descartes definitely believed in an external, physical, "real" reality independent of our consciousness. He was a materialist in this sense. A different school of thought, the idealists, holds that consciousness *is* reality and there is nothing outside of it. Berkeley...
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    Graduate Momentum Operators and the Schwartz Integrability Condition

    Excellent, that answers my question. Thank you very much.
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    Graduate Momentum Operators and the Schwartz Integrability Condition

    Hi All, When computing the commutator \left[x,p_{y}\right], I eventually arrived (as expected) at \hbar^{2}\left(\frac{\partial}{\partial y}\left(\frac{\partial f}{\partial x}\right) - \frac{\partial}{\partial x}\left(\frac{\partial f}{\partial y}\right)\right) and I realized that, as correct...
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    Undergrad How Does the Expansion of the Universe Affect Inertia and Mass?

    Isn't that kind of hard to say, though? I agree in general that there should have been some force to set the blob in angular rotation... But I just don't know enough about cosmology to say for sure. We're talking about which universes are possible and which are impossible.
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    Undergrad How Does the Expansion of the Universe Affect Inertia and Mass?

    This is interesting, I've never heard of it. Was Mach correct in his deduction? It seems like a pretty bizarre way to think of inertia. Is there any sort of modern discussion of this thought experiment? Don't leave us hanging!
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    Undergrad How Does the Expansion of the Universe Affect Inertia and Mass?

    In the case where you see the truck standing still and the Earth as rotating under it, to make this frame of reference work you have to see the truck as standing still and the entire rest of the universe rotating, including the box. Hence it would move.
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    Graduate How much dark matter in each galaxy? Is it related to age?

    That's a good point, lenfromkits, but there are plenty of other observations (unrelated to galaxy rotation curves) that support the notion of cold dark matter. Gravitational microlensing, for instance, has been used to map specific distributions of dark matter. However, I don't have the time or...
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    High School What the heck is ionized hydrogen?

    Not all atoms will contain Neutrons. Hydrogen especially, being the lightest element, has "no need" for Neutrons in its nucleus (although it is possible, just unlikely, as Dr Lots o Watts pointed out.) As you move down the periodic table to heavier elements, isotopes (variants of the element...