What Are Examples of Exotic Order-Disorder Phase Transitions?

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Discussion Overview

The discussion revolves around examples and theoretical frameworks related to exotic order-disorder phase transitions, particularly focusing on scenarios where a thermodynamic system transitions from a highly ordered state to a disordered state as the order parameter reaches a critical value. The conversation explores the implications of such transitions within the context of Landau's theory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes that a thermodynamic system may become unstable in a highly ordered state, suggesting that the order parameter can sharply vanish during a transition.
  • Another participant questions how this scenario differs from a standard first-order transition in Landau theory, proposing a model involving the movement of potential minima.
  • A third participant clarifies that in their understanding, the minimum of the potential moves to the right, contrasting with the typical leftward movement in standard first-order transitions.
  • A different participant claims to have identified examples of such transitions in substances like bismuth and ice, where increasing pressure at a fixed temperature leads to a decrease in the melting point, suggesting a unique behavior of the order parameter.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the proposed exotic transitions and their relation to standard first-order transitions, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

The discussion includes assumptions about the behavior of order parameters and the stability of ordered states, which may depend on specific definitions and conditions not fully explored in the posts.

reterty
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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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