Abstract The mixing performance of a water storage tank is important to ensure good drinking quality in distribution system. A tracer study commonly used approach for evaluation but has limitations, such as limited sampling points and inability be applied the full scale at design stage. In practice, time usually estimated by curve measured probe sensor physical study. However, concentration can...

Finding a ground state of given Hamiltonian an Ising model on graph $$G=(V,E)$$ is important but hard problem. The standard approach for this kind problem the application algorithms that rely single-spin-flip Markov chain Monte Carlo methods, such as simulated annealing based Glauber or Metropolis dynamics. In paper, we investigate particular stochastic cellular automata, in which all spins are...

Abstract A novel multiple mapping conditioning (MMC) mixing time scale model for turbulent premixed combustion has been developed. It combines scales the flamelet and distributed flame regimes with aid of a blending function. The function serves two purposes. Firstly, it helps to identify zones where resides associated shall be used. Secondly, uses Karlovitz number regime reduce weighting if nu...

We consider Glauber dynamics for the Ising model on the complete graph on n vertices, known as the Curie-Weiss model. It is well-known that the mixing-time in the high temperature regime (β < 1) has order n logn, whereas the mixing-time in the case β > 1 is exponential in n. Recently, Levin, Luczak and Peres proved that for any fixed β < 1 there is cutoff at time 1 2(1−β)n logn with a window of...

Experiments are presented on pattern formation in the Belousov-Zhabotinsky (BZ) reaction in a blinking vortex flow. Mixing in this flow is chaotic, with nearby tracers separating exponentially with time. The patterns that form in this flow with the BZ reaction mimic chaotic mixing structures seen in passive transport. The behavior is analyzed in terms of a mixing time taum and a characteristic ...