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Diffusion

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Prediction of self-diffusion coefficients of chemically diverse pure liquids by all-atom molecular dynamics simulations.

Journal of computational chemistry
Molecular self-diffusion coefficients underlie various kinetic properties of the liquids involved in chemistry, physics, and pharmaceutics. In this study, 547 self-diffusion coefficients are calculated based on all-atom molecular dynamics (MD) simula...

Pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms.

Neural networks : the official journal of the International Neural Network Society
This paper investigates the pinning synchronization of stochastic neutral memristive neural networks with reaction-diffusion terms. Firstly, two novel pinning controllers, which contain both current state and past state, are designed. Subsequently, i...

Lag H synchronization in coupled reaction-diffusion neural networks with multiple state or derivative couplings.

Neural networks : the official journal of the International Neural Network Society
This paper mainly attempts to discuss lag H synchronization in multiple state or derivative coupled reaction-diffusion neural networks without and with parameter uncertainties. Firstly, we respectively propose two types of reaction-diffusion neural n...

Global Mittag-Leffler synchronization of coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks via sliding mode control.

Chaos (Woodbury, N.Y.)
This paper studies the sliding mode control method for coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks on a directed non-strongly connected topology. A novel fractional integral sliding mode surface and the corresponding...

A class of doubly stochastic shift operators for random graph signals and their boundedness.

Neural networks : the official journal of the International Neural Network Society
A class of doubly stochastic graph shift operators (GSO) is proposed, which is shown to exhibit: (i) lower and upper L-boundedness for locally stationary random graph signals, (ii) L-isometry for i.i.d. random graph signals with the asymptotic increa...

Machine learning of pair-contact process with diffusion.

Scientific reports
The pair-contact process with diffusion (PCPD), a generalized model of the ordinary pair-contact process (PCP) without diffusion, exhibits a continuous absorbing phase transition. Unlike the PCP, whose nature of phase transition is clearly classified...

Bayesian deep learning for error estimation in the analysis of anomalous diffusion.

Nature communications
Modern single-particle-tracking techniques produce extensive time-series of diffusive motion in a wide variety of systems, from single-molecule motion in living-cells to movement ecology. The quest is to decipher the physical mechanisms encoded in th...

Machine Learning Diffusion Monte Carlo Energies.

Journal of chemical theory and computation
We present two machine learning methodologies that are capable of predicting diffusion Monte Carlo (DMC) energies with small data sets (≈60 DMC calculations in total). The first uses voxel deep neural networks (VDNNs) to predict DMC energy densities ...

Synchronization of hybrid switching diffusions delayed networks via stochastic event-triggered control.

Neural networks : the official journal of the International Neural Network Society
In this paper, the synchronization problem of stochastic complex networks with time delays and hybrid switching diffusions (SCNTH) is concerned based on event-triggered control. Therein, a new class of event-triggered function is proposed for the con...

Topology, vorticity, and limit cycle in a stabilized Kuramoto-Sivashinsky equation.

Proceedings of the National Academy of Sciences of the United States of America
A noisy stabilized Kuramoto-Sivashinsky equation is analyzed by stochastic decomposition. For values of the control parameter for which periodic stationary patterns exist, the dynamics can be decomposed into diffusive and transverse parts which act o...