2005, 1. Aufl., Springer series on atomic, optical, and plasma physics, ISBN 3540652841, Volume 25, xi, 525

This book deals with the statistical theory of strongly coupled Coulomb systems. After an elementary introduction to the physics of nonideal plasmas, a...

Statistical thermodynamics | Transport theory | Plasma (Ionized gases) | Quantum statistics | Atoms, Molecules, Clusters and Plasmas | Physics

Statistical thermodynamics | Transport theory | Plasma (Ionized gases) | Quantum statistics | Atoms, Molecules, Clusters and Plasmas | Physics

Book

EPL, ISSN 0295-5075, 04/2018, Volume 122, Issue 1, p. 10002

We point out a formal analogy between lattice kinetic propagators and Haldane-Wu fractional statistics. The analogy could be used to compute the partition...

PHYSICS, MULTIDISCIPLINARY | BOLTZMANN-EQUATION | GAS | Physics - Computational Physics

PHYSICS, MULTIDISCIPLINARY | BOLTZMANN-EQUATION | GAS | Physics - Computational Physics

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2010, Volume 389, Issue 1, pp. 47 - 51

Based on the generalized Boltzmann equation and the reverse function of the distribution function, we investigate the two-parameter generalized statistics and...

Generalized Boltzmann equation | Parameter | Generalized statistics | PHYSICS, MULTIDISCIPLINARY | SELF-GRAVITATING SYSTEMS | FIELD | LONG-RANGE INTERACTIONS | DEFORMED STATISTICS | ENTROPIES | NONEXTENSIVE PARAMETER | Boltzmann equation | Mathematical analysis | Boltzmann transport equation | Statistical mechanics | Complex systems | Statistics | Distribution functions | Physics - Statistical Mechanics

Generalized Boltzmann equation | Parameter | Generalized statistics | PHYSICS, MULTIDISCIPLINARY | SELF-GRAVITATING SYSTEMS | FIELD | LONG-RANGE INTERACTIONS | DEFORMED STATISTICS | ENTROPIES | NONEXTENSIVE PARAMETER | Boltzmann equation | Mathematical analysis | Boltzmann transport equation | Statistical mechanics | Complex systems | Statistics | Distribution functions | Physics - Statistical Mechanics

Journal Article

European Physical Journal B, ISSN 1434-6028, 07/2009, Volume 70, Issue 1, pp. 49 - 63

We examine the combinatorial or probabilistic definition ("Boltzmann's principle") of the entropy or cross-entropy function H proportional to ln W or D...

BOSE-EINSTEIN | IDEAL-GAS | PHYSICS, CONDENSED MATTER | EXACT MAXWELL-BOLTZMANN | MECHANICS | FERMI-DIRAC STATISTICS | VIOLENT RELAXATION | FRACTIONAL-STATISTICS | INFORMATION-THEORY | PRINCIPLE | QUANTUM-THEORY | Physics - Statistical Mechanics

BOSE-EINSTEIN | IDEAL-GAS | PHYSICS, CONDENSED MATTER | EXACT MAXWELL-BOLTZMANN | MECHANICS | FERMI-DIRAC STATISTICS | VIOLENT RELAXATION | FRACTIONAL-STATISTICS | INFORMATION-THEORY | PRINCIPLE | QUANTUM-THEORY | Physics - Statistical Mechanics

Journal Article

5.
Full Text
An extensive study of Bose–Einstein condensation in liquid helium using Tsallis statistics

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2018, Volume 497, pp. 272 - 284

Realistic scenario can be represented by general canonical ensemble way better than the ideal one, with proper parameter sets involved. We study the...

Bose–Einstein condensation | Liquid helium | Tsallis statistics | SYSTEM | PHYSICS, MULTIDISCIPLINARY | NONEXTENSIVE STATISTICS | HEAT | LEVY DISTRIBUTIONS | MECHANICS | BOLTZMANN | THERMODYNAMICS | THERMOSTATISTICS | SUPERSTATISTICS | Bose-Einstein condensation | ENTROPY | Physics - Statistical Mechanics

Bose–Einstein condensation | Liquid helium | Tsallis statistics | SYSTEM | PHYSICS, MULTIDISCIPLINARY | NONEXTENSIVE STATISTICS | HEAT | LEVY DISTRIBUTIONS | MECHANICS | BOLTZMANN | THERMODYNAMICS | THERMOSTATISTICS | SUPERSTATISTICS | Bose-Einstein condensation | ENTROPY | Physics - Statistical Mechanics

Journal Article

The European Physical Journal C, ISSN 1434-6044, 9/2018, Volume 78, Issue 9, pp. 1 - 12

The freeze-out of massless particles is investigated. The effects due to quantum statistics, Fermi-Dirac or Bose-Einstein, of all particles relevant for the...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | NEUTRINOS | SPECTRA | PHYSICS, PARTICLES & FIELDS | Statistics | Cosmic background radiation | Dark matter (Astronomy) | Boltzmann transport equation | Approximation | Density | Quantum statistics | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | Quantum Gases | High Energy Physics | Astrophysics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | NEUTRINOS | SPECTRA | PHYSICS, PARTICLES & FIELDS | Statistics | Cosmic background radiation | Dark matter (Astronomy) | Boltzmann transport equation | Approximation | Density | Quantum statistics | Physics - High Energy Physics - Phenomenology | Phenomenology | High Energy Physics - Phenomenology | Quantum Gases | High Energy Physics | Astrophysics | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2018, Volume 510, pp. 486 - 491

Nonextensive hydrodynamic equations and Zakharov equations are derived by moment equation and two time-scale methods, respectively. The conserved quantities...

Conserved quantities | Collapse scalar law | Self-similar solution | Nonextensive hydrodynamic equations | Nonlinear behavior | Nonextensive statistics | Nonextensive Zakharov equations | INSTABILITY | PHYSICS, MULTIDISCIPLINARY | MODEL | VELOCITY DISTRIBUTION | COLLISIONS | OPTICAL LATTICES | DISTRIBUTIONS | BOLTZMANN-GIBBS STATISTICS

Conserved quantities | Collapse scalar law | Self-similar solution | Nonextensive hydrodynamic equations | Nonlinear behavior | Nonextensive statistics | Nonextensive Zakharov equations | INSTABILITY | PHYSICS, MULTIDISCIPLINARY | MODEL | VELOCITY DISTRIBUTION | COLLISIONS | OPTICAL LATTICES | DISTRIBUTIONS | BOLTZMANN-GIBBS STATISTICS

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2015, Volume 440, pp. 176 - 184

Stimulated Raman scattering (SRS) in a collisionless plasma was analytically and numerically investigated in the context of nonextensive statistics proposed by...

Nonextensive statistics | Electron plasma wave | Stimulated Raman scattering | PHYSICS, MULTIDISCIPLINARY | MAGNETIZED PLASMA | PHYSICS BASIS | LORENTZIAN DISTRIBUTION | MAGNETOSPHERE | BOLTZMANN-GIBBS STATISTICS | PLASMA-OSCILLATIONS | ELECTRON VELOCITY DISTRIBUTION | DISPERSION FUNCTION | ACOUSTIC-WAVES | KAPPA-DISTRIBUTIONS

Nonextensive statistics | Electron plasma wave | Stimulated Raman scattering | PHYSICS, MULTIDISCIPLINARY | MAGNETIZED PLASMA | PHYSICS BASIS | LORENTZIAN DISTRIBUTION | MAGNETOSPHERE | BOLTZMANN-GIBBS STATISTICS | PLASMA-OSCILLATIONS | ELECTRON VELOCITY DISTRIBUTION | DISPERSION FUNCTION | ACOUSTIC-WAVES | KAPPA-DISTRIBUTIONS

Journal Article

Water Resources Research, ISSN 0043-1397, 11/2007, Volume 43, Issue 12, pp. W12S02 - n/a

To reconstruct complex porous media, such as carbonates, we propose a two‐step approach to combine different types of images: microtomography at the resolution...

General or miscellaneous | Physical Properties of Rocks | Permeability and porosity | Transport properties | Microstructure | reconstruction | lattice Boltzmann method | pore‐scale modeling | multiple‐point statistics | microtomography | ENVIRONMENTAL SCIENCES | STOCHASTIC RECONSTRUCTION | SANDSTONES | WATER RESOURCES | POROUS-MEDIA | LIMNOLOGY | FLOW | PREDICTION

General or miscellaneous | Physical Properties of Rocks | Permeability and porosity | Transport properties | Microstructure | reconstruction | lattice Boltzmann method | pore‐scale modeling | multiple‐point statistics | microtomography | ENVIRONMENTAL SCIENCES | STOCHASTIC RECONSTRUCTION | SANDSTONES | WATER RESOURCES | POROUS-MEDIA | LIMNOLOGY | FLOW | PREDICTION

Journal Article

Astrophysical Journal, ISSN 0004-637X, 01/2017, Volume 834, Issue 2

Big Bang nucleosynthesis (BBN) theory predicts the abundances of the light elements D, {sup 3}He, {sup 4}He, and {sup 7}Li produced in the early universe. The...

VELOCITY | ELEMENT ABUNDANCE | STATISTICS | NUCLEONS | BOLTZMANN STATISTICS | COSMOLOGY | PLASMA | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | ASTROPHYSICS | HELIUM 4 | HELIUM 3 | NUCLEOSYNTHESIS | LITHIUM 7 | UNIVERSE | VISIBLE RADIATION

VELOCITY | ELEMENT ABUNDANCE | STATISTICS | NUCLEONS | BOLTZMANN STATISTICS | COSMOLOGY | PLASMA | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | ASTROPHYSICS | HELIUM 4 | HELIUM 3 | NUCLEOSYNTHESIS | LITHIUM 7 | UNIVERSE | VISIBLE RADIATION

Journal Article

KINETIC AND RELATED MODELS, ISSN 1937-5093, 04/2019, Volume 12, Issue 2, pp. 323 - 346

The study of quantum quasi-particles at low temperatures including their statistics, is a frontier area in modern physics. In a seminal paper Haldane [10]...

MATHEMATICS | MATHEMATICS, APPLIED | PARTICLES | quantum Boltzmann equation | CAUCHY-PROBLEM | HOMOGENEOUS BOLTZMANN | low temperature kinetic theory | Anyon | WEAK SOLUTIONS | Haldane statistics

MATHEMATICS | MATHEMATICS, APPLIED | PARTICLES | quantum Boltzmann equation | CAUCHY-PROBLEM | HOMOGENEOUS BOLTZMANN | low temperature kinetic theory | Anyon | WEAK SOLUTIONS | Haldane statistics

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 04/2015, Volume 142, Issue 13, p. 134113

It is important that any dynamics method approaches the correct population distribution at long times. In this paper, we derive a one-body reduced density...

STATE REPRESENTATION | JUNCTIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TIME-DEPENDENT TRANSPORT | SYSTEMS | RELAXATION | EQUATION | RANDOM-PHASE-APPROXIMATION | BALANCE | Perturbation theory | Boltzmann distribution | Electron transitions | Equations of motion | Time dependence | Occupation | Electron states | Kinetic equations | Mathematical analysis | Fermi-Dirac statistics | Mathematical models | Pauli exclusion principle | Population distribution | Electron density | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ELECTRONS | EQUATIONS OF MOTION | HOLES | FERMI STATISTICS | CHANNELING | ATOMIC MODELS | DENSITY MATRIX | MOLECULES | PERTURBATION THEORY | ELECTRON DENSITY | TIME DEPENDENCE | KINETIC EQUATIONS

STATE REPRESENTATION | JUNCTIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | TIME-DEPENDENT TRANSPORT | SYSTEMS | RELAXATION | EQUATION | RANDOM-PHASE-APPROXIMATION | BALANCE | Perturbation theory | Boltzmann distribution | Electron transitions | Equations of motion | Time dependence | Occupation | Electron states | Kinetic equations | Mathematical analysis | Fermi-Dirac statistics | Mathematical models | Pauli exclusion principle | Population distribution | Electron density | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ELECTRONS | EQUATIONS OF MOTION | HOLES | FERMI STATISTICS | CHANNELING | ATOMIC MODELS | DENSITY MATRIX | MOLECULES | PERTURBATION THEORY | ELECTRON DENSITY | TIME DEPENDENCE | KINETIC EQUATIONS

Journal Article

Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 2007, Volume 55, Issue 1, pp. 91 - 131

Because the uncertainty in current empirical safety factors for structural strength is far larger than the relative errors of structural analysis, improvements...

Random strength | Safety factors | Failure probability | Nonlocal damage | Maxwell–Boltzmann statistics | Maxwell-Boltzmann statistics | FIBER-BUNDLES | PHYSICS, CONDENSED MATTER | THRESHOLD STRENGTH | DAMAGE EVOLUTION | MATERIALS SCIENCE, MULTIDISCIPLINARY | NONLOCAL THEORY | FAILURE | CONCRETE | random strength | safety factors | DISTRIBUTIONS | FIBROUS MATERIALS | LAMINAR CERAMICS | nonlocal damage | MECHANICS | failure probability | BUNDLES PROBABILITY MODEL | Safety regulations | Statistics | Analysis | Nanotechnology

Random strength | Safety factors | Failure probability | Nonlocal damage | Maxwell–Boltzmann statistics | Maxwell-Boltzmann statistics | FIBER-BUNDLES | PHYSICS, CONDENSED MATTER | THRESHOLD STRENGTH | DAMAGE EVOLUTION | MATERIALS SCIENCE, MULTIDISCIPLINARY | NONLOCAL THEORY | FAILURE | CONCRETE | random strength | safety factors | DISTRIBUTIONS | FIBROUS MATERIALS | LAMINAR CERAMICS | nonlocal damage | MECHANICS | failure probability | BUNDLES PROBABILITY MODEL | Safety regulations | Statistics | Analysis | Nanotechnology

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2017, Volume 346, pp. 497 - 513

We compare three thermodynamically consistent numerical fluxes known in the literature, appearing in a Voronoï finite volume discretization of the van...

van Roosbroeck system | Diffusion enhancement | Semiconductor device simulation | Flux discretization | Degenerate semiconductors | Finite volume method | Scharfetter–Gummel scheme | Nonlinear diffusion | Fermi–Dirac statistics | DIFFUSION EQUATIONS | MODEL | PHYSICS, MATHEMATICAL | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Scharfetter-Gummel scheme | Fermi-Dirac statistics | Comparative analysis | Thermodynamics | Statistics | Semiconductors | CHARGE CARRIERS | DENSITY OF STATES | BOLTZMANN STATISTICS | SEMICONDUCTOR DEVICES | NONLINEAR PROBLEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | BOUNDARY-VALUE PROBLEMS | EXACT SOLUTIONS | FERMI STATISTICS | CONTINUITY EQUATIONS | SEMICONDUCTOR MATERIALS | ANALYTICAL SOLUTION

van Roosbroeck system | Diffusion enhancement | Semiconductor device simulation | Flux discretization | Degenerate semiconductors | Finite volume method | Scharfetter–Gummel scheme | Nonlinear diffusion | Fermi–Dirac statistics | DIFFUSION EQUATIONS | MODEL | PHYSICS, MATHEMATICAL | SCHEME | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Scharfetter-Gummel scheme | Fermi-Dirac statistics | Comparative analysis | Thermodynamics | Statistics | Semiconductors | CHARGE CARRIERS | DENSITY OF STATES | BOLTZMANN STATISTICS | SEMICONDUCTOR DEVICES | NONLINEAR PROBLEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | BOUNDARY-VALUE PROBLEMS | EXACT SOLUTIONS | FERMI STATISTICS | CONTINUITY EQUATIONS | SEMICONDUCTOR MATERIALS | ANALYTICAL SOLUTION

Journal Article

The European Physical Journal C, ISSN 1434-6044, 11/2018, Volume 78, Issue 11, pp. 1 - 10

We evaluate the transport properties such as shear viscosity ($$\eta $$ η ), bulk viscosity ($$\zeta $$ ζ ) and their ratios over entropy density (s) for...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | ELEMENTARY | HYDRODYNAMICAL DESCRIPTION | TEMPERATURE | BOLTZMANN TRANSPORT-EQUATION | POWER LAWS | COEFFICIENTS | PLUS PB COLLISIONS | FLOW | PARTICLE SPECTRA | ENTROPY | PHYSICS, PARTICLES & FIELDS | Bulk density | Viscosity | Compressibility | Equilibrium | Statistics | Relaxation time | Baryons | Hadrons | Organic chemistry | Shear viscosity | Energy dissipation | Dependence | Boltzmann transport equation | Cutoffs | Chemical potential | Transport

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | ELEMENTARY | HYDRODYNAMICAL DESCRIPTION | TEMPERATURE | BOLTZMANN TRANSPORT-EQUATION | POWER LAWS | COEFFICIENTS | PLUS PB COLLISIONS | FLOW | PARTICLE SPECTRA | ENTROPY | PHYSICS, PARTICLES & FIELDS | Bulk density | Viscosity | Compressibility | Equilibrium | Statistics | Relaxation time | Baryons | Hadrons | Organic chemistry | Shear viscosity | Energy dissipation | Dependence | Boltzmann transport equation | Cutoffs | Chemical potential | Transport

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2002, Volume 305, Issue 1, pp. 19 - 26

The classical statistics of Boltzmann and Gibbs will be discussed. As pointed out long ago by Einstein, there is a connection of the statistics applicable to a...

Einstein | Gibbs | Dynamics | Statistics | Boltzmann | Tsallis | dynamics | COUETTE-TAYLOR FLOW | MECHANICS | PHYSICS, MULTIDISCIPLINARY | statistics

Einstein | Gibbs | Dynamics | Statistics | Boltzmann | Tsallis | dynamics | COUETTE-TAYLOR FLOW | MECHANICS | PHYSICS, MULTIDISCIPLINARY | statistics

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2019, Volume 518, pp. 1 - 12

We have determined the entropy, the total energy, and the specific heat of the systems consisting of hydrogen molecules. The calculations were conducted in the...

Nonextensive Tsallis statistics | Small number of elements | Hydrogen molecule | Ab initio calculations | ENERGY | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | QUANTUM | HEAT | MECHANICS | BOLTZMANN-GIBBS STATISTICS | FERROMAGNETISM | FRAMEWORK | PARAMETER-Q | ENTROPY

Nonextensive Tsallis statistics | Small number of elements | Hydrogen molecule | Ab initio calculations | ENERGY | GROUND-STATE | PHYSICS, MULTIDISCIPLINARY | QUANTUM | HEAT | MECHANICS | BOLTZMANN-GIBBS STATISTICS | FERROMAGNETISM | FRAMEWORK | PARAMETER-Q | ENTROPY

Journal Article

Boundary-Layer Meteorology, ISSN 0006-8314, 8/2017, Volume 164, Issue 2, pp. 161 - 181

The applicability of outer-layer scaling is examined by numerical simulation of a developing neutral boundary layer over a realistic building geometry of...

Urban boundary layer | Very large streaky structures | Earth Sciences | Outer-layer scaling | Top-down mechanism | Lattice-Boltzmann method | Atmospheric Sciences | Atmospheric Protection/Air Quality Control/Air Pollution | Meteorology | CHANNEL FLOW | MODEL | SURFACE-ROUGHNESS | MEAN FLOW | SUBLAYER | AREA | LARGE-EDDY SIMULATION | GENERATION | SCALE | ROUGH-WALL | METEOROLOGY & ATMOSPHERIC SCIENCES | Turbulence | Models | Numerical analysis | Statistics | Turbulent flow | Statistical analysis | Computer simulation | Methodology | Urban areas | Boundary layer height | Graphics processing units | Roughness | Graphics | Simulation | Vortices | Atmospheric boundary layer | Computer applications | Scaling | Formulae | Oceanic eddies | Structures | Mathematical models | Height | Width

Urban boundary layer | Very large streaky structures | Earth Sciences | Outer-layer scaling | Top-down mechanism | Lattice-Boltzmann method | Atmospheric Sciences | Atmospheric Protection/Air Quality Control/Air Pollution | Meteorology | CHANNEL FLOW | MODEL | SURFACE-ROUGHNESS | MEAN FLOW | SUBLAYER | AREA | LARGE-EDDY SIMULATION | GENERATION | SCALE | ROUGH-WALL | METEOROLOGY & ATMOSPHERIC SCIENCES | Turbulence | Models | Numerical analysis | Statistics | Turbulent flow | Statistical analysis | Computer simulation | Methodology | Urban areas | Boundary layer height | Graphics processing units | Roughness | Graphics | Simulation | Vortices | Atmospheric boundary layer | Computer applications | Scaling | Formulae | Oceanic eddies | Structures | Mathematical models | Height | Width

Journal Article