Timeline for Why don't marbles naturally arrange themselves like a crystal?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 25, 2018 at 15:32 | comment | added | GiorgioP-DoomsdayClockIsAt-90 | Interacting means that there are explicit forces between particles. From the point of view of the accessible phase space, in an interacting system, the accessible configuration space is strongly reduced by the presence of the harsh repulsion between particles. | |
| Nov 25, 2018 at 13:52 | comment | added | Alchimista | Also is not clear what do you mean by interacting / non intetacting. I would see hs as inherently less interacting than every other systems. Except for collision that always occur. I am back to my first comment. Probably misunderstood something since decades :( thanks anyway | |
| Nov 25, 2018 at 13:42 | comment | added | Alchimista | A crystal at a given density is obtained by packing atoms in a periodically repeated cell of fixed volume. That volume is the "suitcase" for atoms. But that is having less entropy for volume not particle. | |
| Nov 25, 2018 at 13:37 | comment | added | Alchimista | It is not my point. If you break the bond the crystal melts. And a crystal has lower entropy . So is your statement that perhaps confused me, I.e. higher entropy per particle in the ordered state. I am not polemic nor pretend to be right. I just see an ordered system as having less entropy under all circumstances. I think I, the OP and the people answers neglect boundary conditions and eventually gravitational field. | |
| Nov 25, 2018 at 13:25 | comment | added | GiorgioP-DoomsdayClockIsAt-90 | A crystal at a given density is obtained by packing atoms in a periodically repeated cell of fixed volume. That volume is the "suitcase" for atoms. | |
| Nov 25, 2018 at 13:07 | comment | added | Alchimista | Yes but I need a suite case and i do need to pack - ??? If there is a container then it make sense but a crystal does need that | |
| Nov 25, 2018 at 13:04 | comment | added | GiorgioP-DoomsdayClockIsAt-90 | @Alchimista: according to statistical mechanics, the highest is the entropy the largest the number of states in the phase space. Comparing liquid and crystal entropy is the same as comparing the number of states for systems under the constraint: i) there is no long range order (fluid), ii) there is (crystalline solid). While for non interacting systems the configurations in phase space corresponding to i) overcome those corresponding to ii), in a dense interacting system the ordered configurations ensure the maximum available space (as everybody trying to pack a suitcase knows very well). | |
| Nov 25, 2018 at 12:42 | comment | added | Alchimista | How can I interprete the fact that entropy is higher in a lattice than in the liquid? Then geometrically or statically this should be true even for interacting (repelling or attracting not just colliding) particle. Please give me a hint. @GiorgioP | |
| Nov 25, 2018 at 9:51 | history | answered | GiorgioP-DoomsdayClockIsAt-90 | CC BY-SA 4.0 |