Universality away from critical points in two-dimensional phase transitions
The p-state clock model in two dimensions is a system of discrete rotors with a quasiliquid
phase in a region<? format?> T 1< T< T 2 for<? format?> p> 4. We show that, for p> 4 and
above a temperature T eu, all macroscopic thermal averages become identical to those of
the continuous rotor (p=∞). This collapse of thermodynamic observables creates a regime of
extended universality in the phase diagram and an emergent symmetry, not present in the
Hamiltonian. For p≥ 8, the collapse starts in the quasiliquid phase and makes the transition …
phase in a region<? format?> T 1< T< T 2 for<? format?> p> 4. We show that, for p> 4 and
above a temperature T eu, all macroscopic thermal averages become identical to those of
the continuous rotor (p=∞). This collapse of thermodynamic observables creates a regime of
extended universality in the phase diagram and an emergent symmetry, not present in the
Hamiltonian. For p≥ 8, the collapse starts in the quasiliquid phase and makes the transition …
The -state clock model in two dimensions is a system of discrete rotors with a quasiliquid phase in a region <?format ?>T1<T<T2 for <?format ?>p>4. We show that, for and above a temperature , all macroscopic thermal averages become identical to those of the continuous rotor (). This collapse of thermodynamic observables creates a regime of extended universality in the phase diagram and an emergent symmetry, not present in the Hamiltonian. For , the collapse starts in the quasiliquid phase and makes the transition at identical to the Berezinskii-Kosterlitz-Thouless (BKT) transition of the continuous rotor. For , the transition at is below and no longer a BKT transition. The results generate a range of experimental predictions, such as the motion of magnetic domain walls, and limits on macroscopic distinguishability of different microscopic interactions.
American Physical Society以上显示的是最相近的搜索结果。 查看全部搜索结果