Langevin dynamics of fluctuation-induced first-order phase transitions: Self-consistent Hartree approximation

Langevin dynamics of fluctuation-induced first-order phase transitions: Self-consistent Hartree approximation

The Langevin dynamics of a system with a scalar-order parameter exhibiting a fluctuation-induced firstorder phase transition is solved within the self-consistent Hartree approximation. Competition between interactions on short and long length scales gives rise to spatial modulations in the order parameter, such as stripes in 2d and lamellae in 3d. We show that when the time scale of observation...

Fluctuation Induced First Order Phase Transitions

We study a U(N) × U(N) symmetric scalar field model in four and three dimensions. First, using our data in four dimensions in the weak coupling region, we demonstrate explicitly that the observed first order phase transition is induced by quantum fluctuations. Next, based on the renormalization group and our new simulation results in three dimensions we argue that even if the UA(1) symmetry is ...

Dynamics of Weak First Order Phase Transitions.

The dynamics of weak vs. strong first order phase transitions is investigated numerically for 2+1 dimensional scalar field models. It is argued that the change from a weak to a strong transition is itself a (second order) phase transition, with the order parameter being the equilibrium fractional population difference between the two phases at the critical temperature, and the control parameter...

Self-consistent mean-field theory of asymmetric first-order structural phase transitions.

The paper presents a self-consistent mean-field theory for a lattice-dynamical model that exhibits a firstorder structural phase transition. In this model the phase transition is produced because the high-energy structure has lower vibrational frequencies than those of the low-energy structure. This mechanism produces higher entropy in the higher-energy structure and thereby drives a phase tran...

Fluctuation-Induced First Order Phase Transitions in Type-1.5 Superconductors in Zero External Field