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Dynamical fluctuations in critical regime and across the 1st order phase transition
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abstract
In this proceeding, we study the dynamical evolution of the sigma field within the framework of Langevin dynamics. We find that, as the system evolves in the critical regime, the magnitudes and signs of the cumulants of sigma field, $C_{3}$ and $C_{4}$, can be dramatically different from the equilibrated ones due to the memory effects near $T_c$. For the dynamical evolution across the 1st order phase transition boundary, the supercooling effect leads the sigma field to be widely distributed in the thermodynamical potential, which largely enhances the cumulants $C_3, \ C_4$, correspondingly.
Forward citations
Cited by 2 Pith papers
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Cumulant dynamics in finite-memory diffusion
Finite current relaxation introduces memory effects that suppress, shift, and reshape non-monotonic cumulant behavior relative to instantaneous equilibrium and Fickian diffusion, most visibly in higher-order cumulants.
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Universal non-equilibrium scaling of cumulants across a critical point
The paper extracts universal non-equilibrium scaling functions for the order parameter and its cumulants up to fourth order in a Z2 scalar field theory with Model A dynamics in two and three dimensions.
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