17 votes
Accepted

Ising model: How can I spot the critical point?

My question is, when I run a simulation with $N$ particles and I track the Hamiltonian per particle $(H/N)$ and the magnetization per particle $\left(\sum _i s_i /N\right)$, with $K$ values going from ...
  • 4,238
14 votes

Ising model: How can I spot the critical point?

As Anyon correctly pointed out, there is no phase transition at finite temperature in 1D. In 2D there are a number of different ways to identify the phase transition (I'm assuming you're using Monte ...
11 votes
Accepted

Is there a list of all universality classes for phase transitions with examples of each?

A locally interacting system displaying a continuous phase transition belongs to a universality class that is determined solely by the system symmetries and dimensionality. Drawing from Wikipedia's ...
  • 786
8 votes

Ising model: How can I spot the critical point?

I think Anyon's and taciteloquence's answers are perfect. I just want to add an emphasis on the following fact that frequently leads to confusion for beginners. The formal definition of the ...
5 votes

What information about a crystalline solid material goes into calculating phase diagrams in Thermo-Calc, and how?

Enthalpy and entropy are the temperature dependent terms in free energy from which enthalpy is a dominant term mainly at lower temperature and entropy is dominant at higher temperature (because ...
5 votes

Is there a list of all universality classes for phase transitions with examples of each?

I felt that it's important to note that not all universality classes are determined solely by spacial dimension and symmetry, even when the interactions are local. The easiest model that exemplifies ...
5 votes

Thermo-calc: Calculate precipitation driving force by parallel tangent construction

Thermo-Calc's DGM is the normalized parallel tangent driving force per mole of components. To be able to compute the driving force of a phase, it must be set to &...
5 votes
Accepted

Phase transition in Molecular Dynamics simulations

Off the top of my head, I can think of two reasons to be concerned about simulations near a phase transition, although I'm only really well-qualified to talk about one of them in detail. The one I ...
  • 1,887
4 votes

Phase transition in Molecular Dynamics simulations

Thermodynamics There is no problem with simulating a phase transition. There is only a problem with calculating thermodynamic averages during a phase transition. Short simple answer: I don't know ...
  • 4,066
3 votes
Accepted

Martensitic transformation, start and finish temperatures

This seems to be a typo in the paper. As they mention in the introduction, austenite is the "hot" phase of this compound, so it should form on heating martensite. In their experiments, they ...
  • 14.3k

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