What Are Examples of Exotic Order-Disorder Phase Transitions?

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SUMMARY

This discussion focuses on exotic order-disorder phase transitions, specifically variants of Landau's theory. The author highlights a scenario where a thermodynamic system transitions into a disordered state upon reaching a maximum critical value of the order parameter, contrasting it with standard first-order transitions. Examples of substances exhibiting this behavior include bismuth, antimony, ice, cast iron, and germanium, particularly under conditions of increased pressure at a fixed temperature. The discussion emphasizes the thermodynamic instability of highly ordered states in equilibrium systems.

PREREQUISITES
  • Understanding of Landau's theory of phase transitions
  • Knowledge of thermodynamic principles and order parameters
  • Familiarity with phase diagrams and critical phenomena
  • Basic concepts of point defects in materials science
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  • Research the implications of order-disorder transitions in materials science
  • Study the thermodynamic properties of bismuth and antimony under pressure
  • Explore the role of point defects in phase transitions
  • Investigate the mathematical formulation of Landau theory and its applications
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Physicists, materials scientists, and researchers interested in phase transitions, thermodynamics, and the behavior of materials under varying pressure and temperature conditions.

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I am looking for possible examples and a variant of Landau's theory of phase transitions for an exotic order-disorder phase transition, in which a thermodynamic system jumps into a disordered (or less orderly) state by reaching the maximum critical value of the order parameter. That is, in one phase, with a change in temperature or pressure, the order parameter first gradually increases and then sharply vanishes during the transition. I think that a highly ordered state, even in equilibrium systems, may turn out to be thermodynamically unstable.
 
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Could you say how your scenario is different from a standard first-order transition within Landau theory? I imagine the minimum of a potential (as a function or order parameter) moving the right or left while a local minimum centered at zero lowers in potential until it eventually becomes the global minimum.
 
the minimum of a potential moving the right, whereas in the standart first-order transition within Landau theory it moves left.
 
I think, I found this type of transitions. They are realized by increasing the pressure at a fixed temperature for substances with an anomalous dependence of the melting point on pressure (decreasing it with increasing pressure). Such substances include bismuth, antimony, ice, cast iron and germanium. In this case, the order parameter increases to the left of the transition, since the number of point defects of the Schottky and Frenkel type decreases with increasing pressure.
 

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