Timeline for The probability of a circular region being "invaded" by moving spheres as a function of time
Current License: CC BY-SA 4.0
9 events
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| Jun 26, 2022 at 13:13 | comment | added | Kani Pen | @joseph h it is true that the information I give is inadequate so I made some edits. The "negligible dimension spheres" means that they are seen as points while the fact that the system is considered 2d makes the "spheres" statement incorrect. Furthermore the fact that "spheres do not interact" means that they pass through each other when they are supposed to collide (It would be afterall impossible to consider the collisions of simple points ). Regarding your view that analyzing it for one sphere at first and then generalizing it would answer I think it's easier to do it for large N at first. | |
| Jun 26, 2022 at 8:03 | history | edited | Kani Pen |
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| Jun 26, 2022 at 7:45 | history | edited | Kani Pen | CC BY-SA 4.0 |
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| Jun 26, 2022 at 3:12 | answer | added | John Darby | timeline score: 1 | |
| Jun 25, 2022 at 23:04 | comment | added | user338734 | I do not know the probabilities, but think about it as a gas. Once you remove the partition the molecules will immediately start filling the previous gap (even if they can only collide with the walls. The larger the N the faster. I am sure someone with good knowledge of statistical mechanics could answer this more precisely. I am commenting just in case you don't get any answers. | |
| Jun 25, 2022 at 23:03 | comment | added | joseph h | "consider everything is in 2d" The spheres are therefore circles? What would be their area? But then "spheres of negligible dimension"? Then they're points? Exactly how does a sphere occupy the region over a flat surface? When you say the spheres do not interact, does this also mean they do not collide? You really have to include a lot more information. Have you tried to do this by starting with the simplest case, which would be the same problem but with one "sphere", then seeing what you'd get in the case of an arbitrary number N? | |
| Jun 25, 2022 at 22:52 | history | edited | Kani Pen | CC BY-SA 4.0 |
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| Jun 25, 2022 at 22:44 | history | edited | Kani Pen | CC BY-SA 4.0 |
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| Jun 25, 2022 at 22:39 | history | asked | Kani Pen | CC BY-SA 4.0 |