Questions tagged [phase-transitions]

Questions related to phase transitions in matter.

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4
votes
1answer
20 views

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

I want to calculate the difference in Gibbs free energies between a Zr-Cu-Al liquid (composition - Zr 65 Cu 27.5 Al 7.5 at%) and the CuZr2 solid phase as a function of temperature (300 - 1000 K). In ...
18
votes
3answers
598 views

Ising model: How can I spot the critical point?

Consider a zero-field Ising model with $N$ spins and periodic boundary conditions, with the Hamiltonian given by: $$H = -K \sum _{(ij)} s_i s_j\tag{1}$$ in 1D and 2D, where $K = \frac{J}{k_BT}$, where ...
6
votes
1answer
84 views

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

Gibbs free energy, $G$, for a crystalline solid material could be described as: \begin{equation} G\: =\: H_{T=0}\: +\: H_{T>0}\: +\: \text{ZPE}\: -\: T\cdot S, \end{equation} Where $H$ is enthalpy, ...
9
votes
0answers
97 views

Coupling between 1st and 2nd order phase transitions?

I am seeking some models or references on how to couple, or what to take into consideration, while coupling first-order phase transitions (for magnetic systems) and second-order phase transitions, in ...
8
votes
0answers
75 views

How is the phase degradation of concrete modeled? [closed]

Acid attack in concrete is a problem in sewage structures. The phases degrade with the pH change at different pH values. The conditions in sewers is complex: The presence of a combination of acids, ...
20
votes
2answers
186 views

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

I've often had this problem: I have a model that has a phase transition in it, but I don't know what universality class it falls into or what the universality class is called. Is there anywhere on ...