Discrete-scale invariance and complex dimensions

D Sornette - Physics reports, 1998 - Elsevier
We discuss the concept of discrete-scale invariance and how it leads to complex critical
exponents (or dimensions), ie to the log-periodic corrections to scaling. After their initial …

Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows

Y Gan, A Xu, H Lai, W Li, G Sun… - Journal of Fluid Mechanics, 2022 - cambridge.org
The aim of this paper is twofold: the first aim is to formulate and validate a multi-scale
discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal …

Filler-induced composition waves in phase-separating polymer blends

BP Lee, JF Douglas, SC Glotzer - Physical Review E, 1999 - APS
The influence of immobile filler particles (spheres, fibers, platelets) on polymer-blend phase
separation is investigated computationally using a generalization of the Cahn-Hilliard-Cook …

Entropy production in thermal phase separation: a kinetic-theory approach

Y Zhang, A Xu, G Zhang, Y Gan, Z Chen, S Succi - Soft matter, 2019 - pubs.rsc.org
Entropy production during the process of thermal phase-separation of multiphase flows is
investigated by means of a discrete Boltzmann kinetic model. The entropy production rate is …

Phase-separating binary fluids under oscillatory shear

A Xu, G Gonnella, A Lamura - Physical Review E, 2003 - APS
We apply the lattice Boltzmann methods to study the segregation of binary fluid mixtures
under oscillatory shear flow in two dimensions. The algorithm allows to simulate systems …

Kinetics of vapor–liquid and vapor–solid phase separation under gravity

D Davis, BS Gupta - Soft Matter, 2025 - pubs.rsc.org
We study the kinetics of vapor–liquid and vapor–solid phase separation of a hydrodynamics
preserving three-dimensional one-component Lennard Jones system in the presence of an …

Turbulence and coarsening in active and passive binary mixtures

S Berti, G Boffetta, M Cencini, A Vulpiani - Physical review letters, 2005 - APS
Phase separation between two fluids in two dimensions is investigated by means of direct
numerical simulations of coupled Navier-Stokes and Cahn-Hilliard equations. We study the …

Two-scale competition in phase separation with shear

F Corberi, G Gonnella, A Lamura - Physical Review Letters, 1999 - APS
The behavior of a phase separating binary mixture in uniform shear flow is investigated by
numerical simulations and in a renormalization group approach. Results show the …

Morphologies and flow patterns in quenching of lamellar systems with shear

A Xu, G Gonnella, A Lamura - Physical Review E—Statistical, Nonlinear, and …, 2006 - APS
We study the behavior of a fluid quenched from the disordered into the lamellar phase under
the action of a shear flow. The dynamics of the system is described by Navier-Stokes and …

Large scale simulation of block copolymers with cell dynamics

M Pinna, AV Zvelindovsky - The European Physical Journal B, 2012 - Springer
Cell dynamics simulation (CDS) is a fast method to simulate kinetic processes in phase
separating systems of large sizes. We review this method applied to block copolymer …