Novel self-consistent mean field approximation and its application in strong interaction phase transitions

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...

Self - consistent mean field electrodynamics in two and three dimensions

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...

Self-consistent Mean Field Theory in Weakly Ionized Gas

We present a self-consistent mean field theory of the dynamo in 3D and turbulent diffusion in 2D in weakly ionized gas. We find that in 3D, the backreaction does not alter the beta effect while it suppresses the alpha effect when the strength of a mean magnetic field exceeds the critical value Bc ∼ √ νinτn〈v2〉/Rm. Here, νin, τn, and Rm are ion-neutral collision frequency, correlation time of ne...

Bose-Einstein condensation in self-consistent mean-field theory

There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary second-order transition, a first-order transition, even for weakly interacting Bose gas. In the present paper, it is shown that a self-consistent mean-field approach ...