arXiv subjects

Pai Liu

Publications and source records attributed to Pai Liu.

20 records · Page 2Linked to original sources

arXiv2018

Variational Autoencoding the Lagrangian Trajectories of Particles in a Combustion System

We introduce a deep learning method to simulate the motion of particles trapped in a chaotic recirculating flame. The Lagrangian trajectories of particles, captured using a high-speed camera and subsequently reconstructed in 3-dimensional space, were used to train a variational autoencoder (VAE) which comprises multiple layers of convolutional neural networks. We show that the trajectories, which are statistically representative of those determined in experiments, can be generated using the VAE network. The performance of our model is evaluated with respect to the accuracy and generalization of the outputs.

stat.ML↗

arXiv2018

Universal Kinetics of the Sol-to-Gel Transition

A comprehensive theory encompassing the kinetics of sol-to-gel transition is yet to be formulated due to break-down of the mean-field Smoluchowski Equation. Using high temporal-resolution Monte Carlo simulation of irreversible aggregation systems, we show that this transition has three distinct regimes with kinetic exponent z ranging between 1 and 2, corresponding to aggregation of sol clusters proceeding to the ideal gel point (IGP); z ranging between 2 and 5.7 for gelation of sol clusters beyond IGP; and z ranging between 2 and 3.5 for a hitherto unidentified regime involving aggregation of gels when monomer-dense. We further establish universal power-law scaling relationships that connect the kinetics of these three regimes.

cond-mat.soft↗