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Generalized Maxwell–Boltzmann Distribution for Rotating Spinning Particle Gas
AbstractWe consider statistical mechanics of rotating ideal gas of non-relativistic spinning particles. Applying the Gibbs canonical distribution...
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The autoregressive neural network architecture of the Boltzmann distribution of pairwise interacting spins systems
Autoregressive Neural Networks (ARNNs) have shown exceptional results in generation tasks across image, language, and scientific domains. Despite...
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Maxwell–Boltzmann and Druyvesteyn Distribution Functions Expressing the Particle Velocity and the Energy in Sheath Plasmas
The energy distribution of particles in a gaseous system is well understood through the implementation of a statistical tool, namely, the...
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Poisson-Boltzmann Theory with Solvent Structure
In this chapter we will further lift one key simplification made in the Poisson-Boltzmann equation which is the consideration of the solvent as a...
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Anomaly detection speed-up by quantum restricted Boltzmann machines
Quantum machine learning promises to revolutionize traditional machine learning by efficiently addressing hard tasks for classical computation. While...
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Toward learning Lattice Boltzmann collision operators
AbstractIn this work, we explore the possibility of learning from data collision operators for the Lattice Boltzmann Method using a deep learning...
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Extending the dynamic temperature range of Boltzmann thermometers
Lanthanide-doped (nano)crystals are an important class of materials in luminescence thermometry. The working mechanism of these thermometers is...
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Coupled Simplified Lattice Boltzmann Method Study on Thermal Flows
In this chapter, the effect of heated length and temperature gradient orientation on the mixed convection flow in a lid-driven cavity is numerically...
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One-Step Simplified Lattice Boltzmann Method and Its Application to Multiphase Flow
This chapter introduces a one-step simplified lattice Boltzmann method (NOSLBM) for simulating multiphase flows with large density ratios and complex...
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Boltzmann Entropy of a Freely Expanding Quantum Ideal Gas
We study the time evolution of the Boltzmann entropy of a microstate during the non-equilibrium free expansion of a one-dimensional quantum ideal...
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Can Energy Direct Probability? Energy, Entropy, and the Boltzmann Distribution
The organizing principles that directed the probabilistic self-assembly of life are the State functions and their behavior under transformations of...
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Constructing coarse-grained skyrmion potentials from experimental data with Iterative Boltzmann Inversion
In an effort to understand skyrmion behavior on a coarse-grained level, skyrmions are often described as 2D quasiparticles evolving according to the...
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Boltzmann collision operator for polyatomic gases in agreement with experimental data and DSMC method
This paper is concerned with the Boltzmann equation based on a continuous internal energy variable to model polyatomic gases with constant specific...
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Lattice Boltzmann Modeling of Complex Fluids: Colloidal Suspensions and Fluid Mixtures
The study of complex fluid dynamics requires development of numerical tools that capture the essentials of the dynamic coupling among the different...
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Statistical Mechanics: Boltzmann Factors, PCR, and Brownian Ratchets
This chapter presents “statistical mechanics” and the Boltzmann factor. Chemists and biochemists often call similar material “physical chemistry.”...
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Study of the Heat Transfer and Simulation Through a Nanotube for Distribution Function D2Q9 Using the Lattice Boltzmann Method
Nanotubes-based nanofluidsoffer unique thermal and thermoelectric capabilities, opening up new possibilities in electronic device thermal control. In...
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Multi-line Boltzmann regression for near-electronvolt temperature and CO sensing via MHz-rate infrared laser absorption spectroscopy
A mid-infrared laser absorption technique is developed for sensing of temperature and carbon monoxide (CO) number density from 2000 K to above...
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One ion to catch them all: Targeted high-precision Boltzmann thermometry over a wide temperature range with Gd3+
Ratiometric luminescence thermometry with trivalent lanthanide ions and their 4f n energy levels is an emerging technique for non-invasive remote...
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Magneto-convective Al2O3/Cu–Water hybrid nanofluid flow in a heated enclosure containing non-Darcy porous medium: lattice Boltzmann simulation
The present article deals with the incompressible magnetohydrodynamic (MHD) hybrid nanofluid flow through a heated enclosure containing a non-Darcy...
