Hi,
I was listening to Susskind's lecture on statistical mechanics (lecture 8). He mentioned in relation to Ising model of magnetized spin systems that there could not be any phase transitions in one dimensions. He mentioned that it has to do with the stability of the system. Can anybody...
More specifically, consider a Hamiltonian with a changeable parameter a. When changing a, the ground state of the system will change. In some cases, one phase crossovers to another, like in other cases, there's a phase transition. What factor determines the difference? Actually I am now working...
Homework Statement
In class we studied a phase transition in a model of a rubber band. For small applied tensions, f < f^*, the Helmholtz free energy of the band as a function of the length is A_1(L) = (\kappa_1 /2)L^2, while at large applied tensions, f > f^*, it is A_2(L) = (\kappa_2 /2)L^2...
I am looking at some of the notes but don't quite understand this.
What are the physical explanation of the graphs (Fig 4(a) and 4(b)) on Page 4 ?
http://www.pma.caltech.edu/~mcc/Ph127/b/Lecture3.pdf"
Why V_{g} decreases with temperature but V_{l} increases with temperature?
Homework Statement
Give the physical explanation of the graphs (Fig 4(a) and 4(b)) on Page 4
http://www.pma.caltech.edu/~mcc/Ph127/b/Lecture3.pdf"
Homework Equations
1) Why V_{g} decreases with temperature but V_{l} increases with temperature
2) Why must phase transition happen at...
can anybody tell me why in general phase transition is not possible in one dimension? and for a lattice gas at low temp. why it requires long range order to occur phase transition?
Hi!
I read in Zinn-Justin, that first order phase transitions always have a finite correlation length. Since correlation length is the inverse of the smallest physical mass within a model, this would mean that there can be no Goldstone bosons for a 1st order phase transition. How can that be...
Homework Statement
Can someone please explain to me why there can never be a phase transition in the 1D Ising model?
Homework Equations
The Attempt at a Solution
I have read the argument that if we start at T=0, all spins along the 1D chain are aligned (say up).
Then if we...
hi, I find that the point where the entalphy vs pressure curves of diferent phases crystaline of material is crossing corresponding at the presure where occurs a phase transition, also i find that by meant of the solope of the tangent of the curves of energy vs volume i can determine the...
Hi,
I was wondering, what actually are phase transitions such as fusion or evaporation? I know thermodynamic definitions such as points where the Gibbs energy is non-analytic or heat capacity changes abruptly, but these say nothing about mechanism. Why does a substance suddenly change its...