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S Feb 24, 2018 at 10:11 history bounty ended Landau
S Feb 24, 2018 at 10:11 history notice removed Landau
Feb 24, 2018 at 10:10 vote accept Landau
Feb 20, 2018 at 11:17 answer added knzhou timeline score: 2
S Feb 20, 2018 at 10:53 history bounty started Landau
S Feb 20, 2018 at 10:53 history notice added Landau Draw attention
Feb 20, 2018 at 10:51 history edited Landau CC BY-SA 3.0
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Feb 17, 2018 at 15:52 history edited Landau CC BY-SA 3.0
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Feb 15, 2018 at 14:06 history edited Landau CC BY-SA 3.0
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Feb 14, 2018 at 13:49 history edited Landau CC BY-SA 3.0
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Feb 14, 2018 at 9:30 history edited Landau CC BY-SA 3.0
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Feb 13, 2018 at 19:49 answer added hyportnex timeline score: 0
Feb 13, 2018 at 19:46 comment added hyportnex In general the 1st law would say $dU=\delta Q +\delta L$ but you have postulated a purely mechanical energy exchange, that is one with $dU=\delta L$. This is called an adiabatic process. If you further assume that the gas is internally frictionless then the partition will oscillate back and forth just as an ideal spring would do. If the gas has internal friction then the oscillation of the partition will be dissipated and the partition will stop at a point where the pressures will be equal, i.e, $\delta p = 0$. Read the subject called "the adiabatic piston".
Feb 12, 2018 at 19:37 history edited Landau CC BY-SA 3.0
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Feb 12, 2018 at 16:50 comment added hyportnex It is not "in contrast"; given the situation you defined by the constraint $dL_1 +dL_2=0$ you derived that the only virtual displacement compatible with your constraint and equilibrium is $dp=0$ (see d'Alembert principle).
Feb 12, 2018 at 15:19 comment added Landau The result $dP=0$ is in contrast with my hypothesis. In this case, the pressure doesn't increase during the process, and so you haven't a compression/expansion of the gas: the system doesn't evolve in time. @hyportnex
Feb 12, 2018 at 14:30 comment added By Symmetry What exactly do $L$ and $k$ mean here?
Feb 12, 2018 at 14:00 comment added hyportnex while I do not quite understand what you wrote but it seems to me that you have deduced that in mechanical equilibrium $p_0=p_1$, which is correct.
Feb 12, 2018 at 13:44 history asked Landau CC BY-SA 3.0