This is a question that was rised when we were discussing "what is melting actually". How many particles you need to form a liquid or solid. I have some remarks to point out what I want to know.
Q: How many particles is needed to observe a phase transition?
- just one, phase transition is not a collective phenomena.
- 1 million, Ising model in 1000x1000 lattice produces a phase transition.
- $N_a$, phase transition is a thermodynamic concept and you always need to be in TD limit.
- The question is dependent on the process. For instance, in phenomena A you need N particles, but in B you need M particles.
- The question is stupid, you should ask X instead.
I would like to know which arguments are true and which are false (and why). Also, how many particles you need to form a liquid from solid (one particle with Gibbs energy above some limit X is a liquid?).