In 3D q-state Potts models quenched across first-order transitions, energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, implying a characteristic time τ where ln τ ≈ (ρ_s/δ)^{2/3} as δ → 0⁺, supported by numerics in the q=6 case.
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Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.
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Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models
In 3D q-state Potts models quenched across first-order transitions, energy density scales as a function of ρ = (ln t)^{3/2} δ with a discontinuity at ρ_s > 0, implying a characteristic time τ where ln τ ≈ (ρ_s/δ)^{2/3} as δ → 0⁺, supported by numerics in the q=6 case.
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Non-equilibrium scaling across first-order transitions with relativistic scalar fields
Fast driving across first-order transitions in relativistic scalar fields produces temperature- and dimension-independent finite-time scaling matching mean-field theory, crossing over to Kibble-Zurek scaling near criticality and nucleation-dominated dynamics at low temperatures.