Boltzmann Transport Equation is solved numerically to model phonon transport in a subcontinuum domain in order to study heat transfer in thin film semiconductors. The phonon distribution function is modified to get an Energy equation from the Boltzmann Transport Equation. Gray form of the Energy equation is solved in the Relaxation time approximation to get the Phonon Energy Density distributio...

In this paper, we introduce a new algorithm called `bits-back coding' that makes stochastic source codes ef"cient. For a given one-to-many source code, we show that this algorithm can actually be more ef"cient than the algorithm that always picks the shortest codeword. Optimal ef"ciency is achieved when codewords are chosen according to the Boltzmann distribution based on the codeword lengths. ...

There is considerable debate about the utility of statistical mechanics in predicting diversity patterns in terms of life history traits. Here, I reflect on this debate and show that a community is controlled by the balance of two opposite forces: the entropic part (the natural tendency of the system to be in the configuration with the highest possible entropy) and environmental, ecological and...

Electro-osmotic flow is studied by nonequilibrium molecular dynamics simulations in a model system chosen to elucidate various factors affecting the velocity profile and facilitate comparison with existing continuum theories. The model system consists of spherical ions and solvent, with stationary, uniformly charged walls that make a channel with a height of 20 particle diameters. We find that ...

An autoencoder network uses a set of recognition weights to convert an input vector into a code vector. It then uses a set of generative weights to convert the code vector into an approximate reconstruction of the input vector. We derive an objective function for training autoencoders based on the Minimum Description Length (MDL) principle. The aim is to minimize the information required to des...

We study the dynamics of relaxation and thermalization in an exactly solvable model with the goal of understanding the e ects of o -shell processes. The focus is to compare the exact evolution of the distribution function with di erent approximations to the relaxational dynamics: Boltzmann, non-Markovian and Markovian quantum kinetics. The time evolution of the occupation number or distribution...

In this paper, we introduce a new algorithm called ‘bits-back coding’ that makes stochastic source codes efficient. For a given one-to-many source code, we show that this algorithm can actually be more efficient than the algorithm that always picks the shortest codeword. Optimal efficiency is achieved when codewords are chosen according to the Boltzmann distribution based on the codeword length...

Brendan J. Frey and Geoorey E. Hinton 1997. EEcient stochastic source coding and an application to a Bayesian network source model. The Computer Journal 40, 157{165. In this paper, we introduce a new algorithm called \bits-back coding" that makes stochastic source codes eecient. For a given one-to-many source code, we show that this algorithm can actually be more eecient than the algorithm that...

The Boltzmann transport equation is commonly considered to be the best semi-classical description of carrier transport in semiconductors, providing precise information about the distribution of carriers with respect to time (one dimension), location (three dimensions), and momentum (three dimensions). However, numerical solutions for the seven-dimensional carrier distribution functions are very...

Pair annihilation of heavy stable particle that occurs in the early universe is investigated, and quantum kinetic equation for the momentum distribution of the annihilating particle is derived, using the influence functional method. A bosonic field theory model is used to describe the pair annihilation in the presence of decay product particles making up a thermal environment. A crossing symmet...