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Kinetic Energy Estimates for the Accuracy of the Time
Kinetic Energy Estimates for the Accuracy of the Time

Berry Curvature as a Multi-Band Effect in Boltzmann Equations
Berry Curvature as a Multi-Band Effect in Boltzmann Equations

Chapter 2 Wave Mechanics and the Schrödinger equation
Chapter 2 Wave Mechanics and the Schrödinger equation

Lectures on Thermodynamics and Statistical Mechanics
Lectures on Thermodynamics and Statistical Mechanics

... These are the lecture notes for the course on Thermodynamics and Statistical Mechanics which I taught during the fall term of 2014, and plan to teach again for the spring term 2016. This is a course meant for upper level undergraduate students in physics, so that is the level at which most topics ...
Multiscale theory of finite-size Bose systems: Implications for collective
Multiscale theory of finite-size Bose systems: Implications for collective

Deriving time dependent Schrödinger equation from Wave
Deriving time dependent Schrödinger equation from Wave

... solution in terms of a function called the wave function. When this equation is solved, it gives two things; namely the wave function Ψ and the energy E, of the particle under consideration. Once the wave function Ψ is known, then everything about the particle is known or can be deduced from the wav ...
Basic Equations - Earth and Space Sciences at the University of
Basic Equations - Earth and Space Sciences at the University of

... The scales of phenomena that we will be interested in are quite large compared to those that modern physicists typically concentrate on. This means that quantum effects and complications such as relativity or Heisenberg’s uncertainty principle are not important. Although some of the phenomena that w ...
Nature physics
Nature physics

... (φ) between the two condensates increased linearly over time due to the chemical potential _(µ) difference between the condensates φ = (µ1 – µ2)t/h . The nonlinear interactions between particles in periodic potentials can also lead to pronounced instabilities that eventually destroy a BEC propagatin ...
Two-magnon instabilities and other surprises in magnetized quantum antiferromagnets Oleg Starykh
Two-magnon instabilities and other surprises in magnetized quantum antiferromagnets Oleg Starykh

The pseudodifferential operator square root of the Klein
The pseudodifferential operator square root of the Klein

sph_404_statistical_physics-_2014_-2015_-2016c_
sph_404_statistical_physics-_2014_-2015_-2016c_

... of non – equilibrium processes. The TES deals with probabilities and mean values which do not depending on time. The TNE processes deals with probabilities and mean values depending on time. The branch of Physics studying non equilibrium processes is called kinetics. This Course Unit comprises two p ...
Orbital ice: An exact Coulomb phase on the diamond lattice
Orbital ice: An exact Coulomb phase on the diamond lattice

... colloidals in optical traps and superconducting vortices in specially fabricated pinning centers [7,8]. A valence bond liquid phase with an ice-like degeneracy is also shown to be the ground state of a spin-1/2 Klein model on the pyrochlore lattice [9]. ...
Derivation of the Equation E=mc2-v3
Derivation of the Equation E=mc2-v3

Spin Conductivity in Two-Dimensional Non
Spin Conductivity in Two-Dimensional Non

Quantum phase transitions in atomic gases and condensed matter
Quantum phase transitions in atomic gases and condensed matter

... detection probability   b b exp iq  ri  rj ...
A stochastic-Lagrangian approach to the Navier–Stokes
A stochastic-Lagrangian approach to the Navier–Stokes

Many-body theory
Many-body theory

... FIG. 1: Graphical representation of one-particle operators. fS (p) is diagonal in momentum space but fS (x) changes the momentum. ...
Document
Document

... In the model of a particle under boundary conditions, an interaction of a particle with its environment represents one or more boundary conditions and, if the interaction restricts the particle to a finite region of space, results in quantization of the energy of the system In general, boundary cond ...
Impurity and soliton dynamics in a Fermi gas with nearest
Impurity and soliton dynamics in a Fermi gas with nearest

Statistical Mechanics That Takes into Account Angular
Statistical Mechanics That Takes into Account Angular

Demonstration 1: Fluid Properties, Viscosity
Demonstration 1: Fluid Properties, Viscosity

... solid, it resists the deforming shearing motion between your hands. You will also notice that if your rub your hands together quickly, you will begin to feel warmth. The friction converts some of the energy of motion between your hands into thermal energy (heat). Friction is also present in all real ...
A Tutorial on Pipe Flow Equations
A Tutorial on Pipe Flow Equations

How to solve Fokker-Planck equation treating mixed eigenvalue
How to solve Fokker-Planck equation treating mixed eigenvalue

Ultrashort light bullets described by the two-dimensional sine
Ultrashort light bullets described by the two-dimensional sine

Phase-controlled localization and directed
Phase-controlled localization and directed

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Lattice Boltzmann methods

Lattice Boltzmann methods (LBM) (or Thermal Lattice Boltzmann methods (TLBM)) is a class of computational fluid dynamics (CFD) methods for fluid simulation. Instead of solving the Navier–Stokes equations, the discrete Boltzmann equation is solved to simulate the flow of a Newtonian fluid with collision models such as Bhatnagar-Gross-Krook (BGK). By simulating streaming and collision processes across a limited number of particles, the intrinsic particle interactions evince a microcosm of viscous flow behavior applicable across the greater mass.
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