Stochastic growth dynamics and composite defects in quenched immiscible binary condensates

Coarsening dynamics of binary Bose condensates.

We study the dynamics of domain formation and coarsening in a binary Bose-Einstein condensate that is quenched across a miscible-immiscible phase transition. The late-time evolution of the system is universal and governed by scaling laws for the correlation functions. We numerically determine the scaling forms and extract the critical exponents that describe the growth rate of domain size and a...

Computer simulations of domain growth and phase separation in two-dimensional binary immiscible fluids using dissipative particle dynamics.

We investigate the dynamical behavior of binary fluid systems in two dimensions using dissipative particle dynamics. We find that following a symmetric quench the domain size R(t) grows with time t according to two distinct algebraic laws R(t) ∼ t: at early times n = 1 2 , while for later times n = 2 3 . Following an asymmetric quench we observe only n = 1 2 , and if momentum conservation is vi...

Structural transitions and arrest of domain growth in sheared binary immiscible fluids and microemulsions.

We investigate spinodal decomposition and structuring effects in binary immiscible and ternary amphiphilic fluid mixtures under shear by means of three-dimensional lattice Boltzmann simulations. We show that the growth of individual fluid domains can be arrested by adding surfactant to the system, thus forming a bicontinuous microemulsion. We demonstrate that the maximum domain size and the tim...

Stochastic Growth in Schumpeterian Dynamics

This paper discusses three key elements of stochastic growth in the Schumpeterian dynamics. These elements comprise the new entry of firms in an industry, the displacement of the old technology by the new and the nonlinear impact of learning by doing on the growth of innovating firms. Each of these elements has important implications for the new theory of endogenous growth. * Department of Econ...

Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics