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  2. Phase transition - Wikipedia

    en.wikipedia.org/wiki/Phase_transition

    In physics, chemistry, and other related fields like biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another. Commonly the term is used to refer to changes among the basic states of matter: solid, liquid, and gas, and in rare cases, plasma.

  3. Quantum phase transition - Wikipedia

    en.wikipedia.org/wiki/Quantum_phase_transition

    Appearance. In physics, a quantum phase transition (QPT) is a phase transition between different quantum phases (phases of matter at zero temperature). Contrary to classical phase transitions, quantum phase transitions can only be accessed by varying a physical parameter—such as magnetic field or pressure—at absolute zero temperature.

  4. Berezinskii–Kosterlitz–Thouless transition - Wikipedia

    en.wikipedia.org/wiki/Berezinskii–Kosterlitz...

    The Berezinskii–Kosterlitz–Thouless (BKT) transition is a phase transition of the two-dimensional (2-D) XY model in statistical physics. It is a transition from bound vortex-antivortex pairs at low temperatures to unpaired vortices and anti-vortices at some critical temperature. The transition is named for condensed matter physicists Vadim ...

  5. Topological order - Wikipedia

    en.wikipedia.org/wiki/Topological_order

    The phase transition between a liquid and a crystal is a transition that reduces the continuous translation symmetry of the liquid to the discrete symmetry of the crystal. Such a change in symmetry is called symmetry breaking. The essence of the difference between liquids and crystals is therefore that the organizations of atoms have different ...

  6. Quantum critical point - Wikipedia

    en.wikipedia.org/wiki/Quantum_critical_point

    Appearance. A quantum critical point is a point in the phase diagram of a material where a continuous phase transition takes place at absolute zero. A quantum critical point is typically achieved by a continuous suppression of a nonzero temperature phase transition to zero temperature by the application of a pressure, field, or through doping.

  7. Quantum Heisenberg model - Wikipedia

    en.wikipedia.org/wiki/Quantum_Heisenberg_model

    Quantum Heisenberg model. The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically. It is related to the prototypical Ising model, where at each site ...

  8. Quantum phases - Wikipedia

    en.wikipedia.org/wiki/Quantum_phases

    Quantum phases are quantum states of matter at zero temperature. Even at zero temperature a quantum-mechanical system has quantum fluctuations and therefore can still support phase transitions. As a physical parameter is varied, quantum fluctuations can drive a phase transition into a different phase of matter.

  9. Sublimation (phase transition) - Wikipedia

    en.wikipedia.org/wiki/Sublimation_(phase_transition)

    Sublimation is the transition of a substance directly from the solid to the gas state, without passing through the liquid state. [ 1 ] The verb form of sublimation is sublime, or less preferably, sublimate. [ 2 ]Sublimate also refers to the product obtained by sublimation. [ 2 ][ 3 ] The point at which sublimation occurs rapidly (for further ...