[FRIAM] Entropy RE-redux

[Alexander Rasmus]

"A sequence of "taps" is applied to each plunger. These taps progressively
reduce the volume of the containers. The taps on both sides have the same
average magnitude, but the distribution of their magnitudes has different
positive skews."

Note the code is actually holding total volume fixed and reducing density
(which is a perfectly valid interpretation of the word tap). It is also
assuming that the two sides go into thermal equilibrium in addition to
pressure equilibrium.

You're also making assumptions about Nick's prompt that aren't really
there. The taps will only reduce the volume of either side in an asymptotic
sense if you're either mechanically imposing that the plunger motion is
monotonically inward in some way, or if there's heat flow out of the system
while the system is in a temporarily compressed state. If the compressions
are adiabatic, the plunger is allowed to move freely other than the forcing
from the taps, and there's no heat flow, the plungers and divider will
eventually return to the same relative positions since the two cavities are
on the same isentrope. Actually calculating out what will happen due to
complications depends on Nick telling us what about the process is
non-adiabatic, which he has not done.




On Mon, Jun 16, 2025 at 2:35 AM Pieter Steenekamp <
pieters at randcontrols.co.za> wrote:

> I asked George (Gemini) to simulate it and I ran the code in Colab at:
>
> https://colab.research.google.com/drive/18cqOB5x-a-IpLtx0LZBg9VrFi893EcbH?usp=sharing
>
> The prompt I used was:
> You are given a system with two air-filled containers connected by a tube.
> Inside the tube is a movable slider with a membrane that allows pressure to
> equalize between the containers. Each container has a plunger that can
> change its volume.
> A sequence of "taps" is applied to each plunger. These taps progressively
> reduce the volume of the containers. The taps on both sides have the same
> average magnitude, but the distribution of their magnitudes has different
> positive skews.
> Write a Python program that:
> Simulates the system by applying a series of random taps to each plunger.
> Generates tap magnitudes using random distributions with:
> Equal average values.
> Different degrees of positive skewness.
> Calculates the resulting position of the slider (equilibrium point) as the
> taps are applied.
> Repeats the simulation n times (default n=10).
> Outputs the results:
> Numerically (e.g., final slider positions).
> Graphically (e.g., distribution of slider positions or time evolution over
> taps).
>
> On Mon, 16 Jun 2025 at 05:54, Marcus Daniels <marcus at snoutfarm.com> wrote:
>
>>  I guess I don't see why it is such a big ask to tack on "Can you
>> simulate this?" to the prompt.
>>
>> On Jun 15, 2025, at 2:09 PM, steve smith <sasmyth at swcp.com> wrote:
>>
>> 
>>
>> George can do it.
>>
>> George can do anything, you just have to know how to ask him correctly...
>> a bit like a Djinn.
>>
>>
>>
>> Marcus,
>>
>>
>>
>> Thanks for checking in.  I think I can safely say that that is a thing I
>> will probably never do, but you have reminded me that I ought to see if
>> somebody has already done it in NetLogo.
>>
>>
>>
>> <OpenPGP_0xD5BAF94F88AFFA63.asc>
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