3 ms·
And properties of macroscopic states are 'unphysical'?
by cygx 8y ago
And properties of macroscopic states are 'unphysical'?
- kgwgk 8y agoMacroscopic states are not a complete description of physical systems and the same microstate could be part of different macroscopic states. The thermodynamic variables are not properties of the microstate (the "physical reality"). They are properties of the macrostate, which is a model of the unknown "physical reality". If you don't like the original phrasing, let's say that "Thermodynamical entropy is not a fundamental property of a system. It’s a property of our description of the system as a macroscopic state."
- dr_dshiv 8y agoHow could the same microstate be part of different macrostate? Like, if I described the microstate of a drop of water, wouldn't it have, as a whole, one temperature? I thought that a macrostate could have many different microstates, but not vice versa
- kgwgk 8y agoConsider for example, a system in thermal equilibrium with a heat bath, with a fixed number of particles and a fixed volume. The macrostate is defined by the variables T, V and N. The energy of the microstates corresponding to the macrostate is not fixed. The probability of each microstate is proportional to the exp(-E/kT). https://en.wikipedia.org/wiki/Boltzmann_distribution https://en.wikipedia.org/wiki/Boltzmann_distribution The microstates don't have a temperature: they are more or less likely to happen depending on the temperature. And that's assuming a particular thermodynamical model. The same microstate could be looked at in the context of a different thermodynamical model as a different (or differents) macrostate(s) characterized by another set of thermodynamical variables.