We investigate the relationship between the mixing times of the Glauber dynamics of a statistical mechanical system with its thermodynamic equilibrium structure. For this we consider the mean-field Blume-Capel model, one of the simplest statistical mechanical models that exhibits the following intricate phase transition structure: within a two dimensional parameter space there exists a curve at...

Lagrangian PDF investigations are performed of the Sandia piloted flame E and the Cabra H2/N2 lifted flame to help develop a deeper understanding of local extinction, re-ignition and auto-ignition in these flames, and of the PDF models’ abilities to represent these phenomena. Lagrangian particle time series are extracted from the PDF model calculations and are analyzed. In the analysis of the r...

Mount Bidkhan stratovolcano is located in the central Iranian volcanic belt. It is composed of several types of pyroclastic deposits, lava flows and intrusive bodies. Textural and chemical characteristics of plagioclase phenocrysts from the eruptive products volcanic edifice, record complex magma mixing events over the lifetime of the volcano. Evidences such as xenocrystic high Al+Ti clinopyrox...

We present a numerical model of two fluid mixing based on hyperbolic equations having complete state variables (velocity, pressure, temperature) for each fluid. The model is designed for the study of acceleration driven mixing layers in a chunk mix regime dominated by large scale coherent mixing structures. The numerical solution of the model is validated by comparison to the incompressible lim...

Let {Y :n ~ o} be a Harris-recurrent Markov chain on a general state n space. It is shown that {Y J is strong mixing, provided there exists a n stationary probability distribution ~(.) for {Y}. We use this result to n establish that certain stationary autoregressive moving average processes are strong mixing. Necessary and sufficient conditions for a first order autoregressive process to be uni...

Concentric mixing experiments with velocity ratios of up to 6 have been completed using hardwood pulp of 1.0, 1.9, and 2.9% consistency and water. Qualitative observations reveal that by increasing the velocity ratio, the inner jet spread angle is found to be larger (i.e., the jet spreads faster) and the downstream mixing region is more uniform. Furthermore, local consistency measurements show ...

We present a study of two-point spectral turbulence model (Local Wave-Number or LWN model) for the Rayleigh-Taylor (RT) instability. The outcomes are compared with statistical quantities extracted from three-dimensional simulation RT problem. These simulations initialized high wavenumber perturbations at interface heavy fluid placed on top light so that density gradient is in direction opposite...

We use a 3D computational model to study the fluid transport and mixing due to the beating of an infinite array of cilia. In accord with recent experiments, we observe two distinct regions: a fluid transport region above the cilia and a fluid mixing region below the cilia tip. The metachronal wave due to phase differences between neighboring cilia is known to enhance the fluid transport above t...