 #1
 195
 52
Good evening,
I have a question to a short introduction to statistical mechanics in a book about molecular dynamics simulation.
It introduces the fundamental assumption: Every microscopic state with a fix total energy E is equally probable.
I attached the section. I understand it all, except for the very last sentence.
Why does the author claim that, if we start at some random energy for E_{1}, we will have energy exchange until eq. (2.1.3) holds? As he explained it, "equilibrium" is only the energy state with the largest number of corresponding micro configurations  and, since all of them are equally likely according to the assumption from the beginning, the equilibrium is the most probable energy state. But this does not explain why any other state would change towards equilibrium through energy exchange on its own.
The authors did say that their way of introducing statistical physics is somewhat dirty. Is there missing a point?
Regards,
SL
I have a question to a short introduction to statistical mechanics in a book about molecular dynamics simulation.
It introduces the fundamental assumption: Every microscopic state with a fix total energy E is equally probable.
I attached the section. I understand it all, except for the very last sentence.
Why does the author claim that, if we start at some random energy for E_{1}, we will have energy exchange until eq. (2.1.3) holds? As he explained it, "equilibrium" is only the energy state with the largest number of corresponding micro configurations  and, since all of them are equally likely according to the assumption from the beginning, the equilibrium is the most probable energy state. But this does not explain why any other state would change towards equilibrium through energy exchange on its own.
The authors did say that their way of introducing statistical physics is somewhat dirty. Is there missing a point?
Regards,
SL
Attachments

223.9 KB Views: 105