Exploring the Difference between KT and Ferro-Para Phase Transitions

In summary, KT and Ferro-Para phase transitions are two types of phase transitions with different order parameters and transition temperatures. While KT transitions have a continuous order parameter and occur at a critical temperature, Ferro-Para transitions have a discrete order parameter and occur at a Curie temperature. The occurrence of these transitions is influenced by factors like temperature, pressure, and external magnetic fields. It is possible for a material to undergo both KT and Ferro-Para phase transitions simultaneously, which can be observed and studied through various experimental techniques.
  • #1
wdlang
307
0
i cannot see the reason

what makes KT phase transition different from the ferro-para phase transition of the 2D ising model?
 
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  • #2


There is no local order parameter in the KT transition, so it's "topological" rather than "symmetry breaking".

http://www.itp.uzh.ch/~llucas/projects/proseminar.pdf [Broken]
http://www.phy.cuhk.edu.hk/course/2011-2012/1/phys5510/download/0/Ch11%20KT%20transition.pdf [Broken]
http://www.mit.edu/~levitov/8.334/notes/XYnotes1.pdf
 
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1. What is the difference between KT and Ferro-Para phase transitions?

KT and Ferro-Para phase transitions are two types of phase transitions that occur in materials. The main difference between them is the nature of the order parameter. In KT transitions, the order parameter is continuous and can vary smoothly, while in Ferro-Para transitions, the order parameter is discrete and can only take on certain values.

2. How do KT and Ferro-Para phase transitions differ in terms of temperature?

KT and Ferro-Para phase transitions also differ in terms of the temperature at which they occur. KT transitions happen at a critical temperature, above which the material is in the disordered phase. In contrast, Ferro-Para transitions occur at a Curie temperature, below which the material exhibits ferromagnetic or paramagnetic behavior.

3. What factors influence the occurrence of KT and Ferro-Para phase transitions?

The occurrence of KT and Ferro-Para phase transitions is influenced by various factors such as temperature, pressure, and external magnetic fields. For example, the transition temperature can be altered by applying pressure or changing the strength of the magnetic field.

4. Can KT and Ferro-Para phase transitions occur simultaneously in a material?

Yes, it is possible for a material to undergo both KT and Ferro-Para phase transitions at the same time. This is known as a mixed or hybrid phase transition and can happen in certain materials with complex ordering behavior.

5. How are KT and Ferro-Para phase transitions studied and observed in materials?

KT and Ferro-Para phase transitions are studied and observed through various experimental techniques, such as X-ray diffraction, neutron scattering, and thermal analysis. These techniques allow scientists to measure changes in the order parameter and track the transition temperatures of materials.

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