Physics Letters A, ISSN 0375-9601, 2006, Volume 356, Issue 4, pp. 366 - 370

The loop algebra L ( sl 2 ) symmetry is found in a sector of the nilpotent Bazhanovâ€“Stroganov model. The Drinfeld polynomial of a L ( sl 2 ) -degenerate...

Bethe ansatz | Drinfeld polynomial | Onsager algebra | Bazhanovâ€“Stroganov model | Loop algebras | Superintegrable chiral Potts model | Bazhanov-Stroganov model | superintegrable chiral Potts model | PHYSICS, MULTIDISCIPLINARY | EXCITATION SPECTRUM | UNITY | CONSERVED CHARGES | ROOTS | 6-VERTEX MODEL | loop algebras

Bethe ansatz | Drinfeld polynomial | Onsager algebra | Bazhanovâ€“Stroganov model | Loop algebras | Superintegrable chiral Potts model | Bazhanov-Stroganov model | superintegrable chiral Potts model | PHYSICS, MULTIDISCIPLINARY | EXCITATION SPECTRUM | UNITY | CONSERVED CHARGES | ROOTS | 6-VERTEX MODEL | loop algebras

Journal Article

2.
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A New Coal-Permeability Model: Internal Swelling Stress and Fractureâ€“Matrix Interaction

Transport in Porous Media, ISSN 0169-3913, 3/2010, Volume 82, Issue 1, pp. 157 - 171

We have developed a new coal-permeability model for uniaxial strain and constant confining-stress conditions. The model is unique in that it explicitly...

Geotechnical Engineering | Earth Sciences | Coal permeability | Hydrogeology | Rock mechanics | Civil Engineering | Industrial Chemistry/Chemical Engineering | CO 2 geological sequestration | Enhanced coalbed methane recovery | Classical Continuum Physics | geological sequestration | POROSITY | BEHAVIOR | ONSAGERS RECIPROCITY RELATIONS | CHEMO-MECHANICAL PHENOMENA | 2-SCALE MODEL | SIMULATION | EXPANSIVE CLAYS | ENGINEERING, CHEMICAL | MEDIA | CO2 geological sequestration | Methane | Permeability | Analysis | Laboratory tests | Fractures | Model testing | Deformation | Swelling | Seams | Coal transport | Apertures | Shrinkage | Stresses | Fracture mechanics | Basins | Coal | Transport | Strain

Geotechnical Engineering | Earth Sciences | Coal permeability | Hydrogeology | Rock mechanics | Civil Engineering | Industrial Chemistry/Chemical Engineering | CO 2 geological sequestration | Enhanced coalbed methane recovery | Classical Continuum Physics | geological sequestration | POROSITY | BEHAVIOR | ONSAGERS RECIPROCITY RELATIONS | CHEMO-MECHANICAL PHENOMENA | 2-SCALE MODEL | SIMULATION | EXPANSIVE CLAYS | ENGINEERING, CHEMICAL | MEDIA | CO2 geological sequestration | Methane | Permeability | Analysis | Laboratory tests | Fractures | Model testing | Deformation | Swelling | Seams | Coal transport | Apertures | Shrinkage | Stresses | Fracture mechanics | Basins | Coal | Transport | Strain

Journal Article

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On a two-relaxation-time D2Q9 lattice Boltzmann model for the Navierâ€“Stokes equations

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2018, Volume 492, pp. 1570 - 1580

In this paper, we are concerned with the stability of some lattice kinetic schemes. First, we show that a recently proposed lattice kinetic scheme is a...

Two-relaxation-time | Lattice kinetic schemes | Lattice Boltzmann models | Stability criteria | Onsager-like relation | SCHEME | HEAT-TRANSFER | PHYSICS, MULTIDISCIPLINARY | NEWTONIAN FLUID-FLOWS | STABILITY | DISPERSION | Analysis | Electrical equipment and supplies industry

Two-relaxation-time | Lattice kinetic schemes | Lattice Boltzmann models | Stability criteria | Onsager-like relation | SCHEME | HEAT-TRANSFER | PHYSICS, MULTIDISCIPLINARY | NEWTONIAN FLUID-FLOWS | STABILITY | DISPERSION | Analysis | Electrical equipment and supplies industry

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 01/2019, Volume 178, pp. 366 - 380

We give new results of the phase transition of dilute colloidal solutions of rod-like molecules in dimension Dâ‰¥3. For the low concentration of particles in a...

Onsager model | Liquid crystal | Degree theory | Topological methods | Phase transition | MATHEMATICS | MATHEMATICS, APPLIED | STATES | EQUILIBRIA | SPHERE | ENSEMBLES | SMOLUCHOWSKI-EQUATION

Onsager model | Liquid crystal | Degree theory | Topological methods | Phase transition | MATHEMATICS | MATHEMATICS, APPLIED | STATES | EQUILIBRIA | SPHERE | ENSEMBLES | SMOLUCHOWSKI-EQUATION

Journal Article

Journal of Physics Condensed Matter, ISSN 0953-8984, 11/2014, Volume 26, Issue 46, pp. 463101 - 60

Hard models for particle interactions have played a crucial role in the understanding of the structure of condensed matter. In particular, they help to explain...

Hard-body models | Liquid crystals | Phase transitions | ISOTROPIC-NEMATIC TRANSITION | PHYSICS, CONDENSED MATTER | MEAN FIELD-THEORY | phase transitions | FUNDAMENTAL MEASURE-THEORY | EQUATION-OF-STATE | FREE-ENERGY MODEL | hard-body models | FRANK ELASTIC-CONSTANTS | ONSAGER-TYPE THEORY | liquid crystals | MONTE-CARLO-SIMULATION | DENSITY-FUNCTIONAL THEORY | SMECTIC-A TRANSITION | Fluids | Liquids | Phases | Computational fluid dynamics | Condensed matter | Anisotropy | Fluid flow | Mathematical models | Three dimensional

Hard-body models | Liquid crystals | Phase transitions | ISOTROPIC-NEMATIC TRANSITION | PHYSICS, CONDENSED MATTER | MEAN FIELD-THEORY | phase transitions | FUNDAMENTAL MEASURE-THEORY | EQUATION-OF-STATE | FREE-ENERGY MODEL | hard-body models | FRANK ELASTIC-CONSTANTS | ONSAGER-TYPE THEORY | liquid crystals | MONTE-CARLO-SIMULATION | DENSITY-FUNCTIONAL THEORY | SMECTIC-A TRANSITION | Fluids | Liquids | Phases | Computational fluid dynamics | Condensed matter | Anisotropy | Fluid flow | Mathematical models | Three dimensional

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 1, pp. 152 - 165

We study the 2D Doiâ€“Onsager models with general potential kernel, with special emphasis on the classical Onsager kernel. Through application of topological...

Bifurcation | Lerayâ€“Schauder degree | Rigid rod-like polymers | Stability | Doiâ€“Onsager model | Phase transition | Doi-Onsager model | Leray-Schauder degree | POLYMERS | MATHEMATICS, APPLIED | STATES | SPHERE | ENSEMBLES | MATHEMATICS | SYMMETRY | EQUILIBRIA | SMOLUCHOWSKI-EQUATION

Bifurcation | Lerayâ€“Schauder degree | Rigid rod-like polymers | Stability | Doiâ€“Onsager model | Phase transition | Doi-Onsager model | Leray-Schauder degree | POLYMERS | MATHEMATICS, APPLIED | STATES | SPHERE | ENSEMBLES | MATHEMATICS | SYMMETRY | EQUILIBRIA | SMOLUCHOWSKI-EQUATION

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 04/2014, Volume 89, Issue 4, p. 043013

We introduce amethod for the numerical determination of the steady-state response of complex charged porous media to pressure, salt concentration, and electric...

SOLID-STATE NANOPORES | EXPANSIVE CLAYS | IONIC TRANSPORT | SINGLE | BOUNDARY-CONDITIONS | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | ONSAGERS RECIPROCITY RELATIONS | CHEMO-MECHANICAL PHENOMENA | 2-SCALE MODEL | PHYSICS, MATHEMATICAL | FLOW | Modeling and Simulation | Earth Sciences | Computer Science | Geophysics | Mechanics | Mechanics of the fluids | Fluids mechanics | Sciences of the Universe | Engineering Sciences | Physics | Environmental Sciences | Global Changes

SOLID-STATE NANOPORES | EXPANSIVE CLAYS | IONIC TRANSPORT | SINGLE | BOUNDARY-CONDITIONS | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | ONSAGERS RECIPROCITY RELATIONS | CHEMO-MECHANICAL PHENOMENA | 2-SCALE MODEL | PHYSICS, MATHEMATICAL | FLOW | Modeling and Simulation | Earth Sciences | Computer Science | Geophysics | Mechanics | Mechanics of the fluids | Fluids mechanics | Sciences of the Universe | Engineering Sciences | Physics | Environmental Sciences | Global Changes

Journal Article

Advances in Water Resources, ISSN 0309-1708, 01/2015, Volume 75, pp. 31 - 52

â€¢Treatment of ions of finite size in the nano-pores of a swelling clay.â€¢The homogenization is applied to upscale the nanoscopic problem.â€¢A new modified form of...

Expansive clays | Contaminant transport | Homogenization | Statistical Mechanics | Poromechanics | Swelling pressure | Statistical mechanics | MEAN SPHERICAL MODEL | ONSAGERS RECIPROCITY RELATIONS | CHEMO-MECHANICAL PHENOMENA | WATER RESOURCES | 2-SCALE MODEL | IMAGE INTERACTIONS | INTEGRAL-EQUATION | CHARGED HARD-SPHERES | DIFFUSION | INHOMOGENEOUS COULOMB FLUIDS | Thermodynamics | Models | Numerical analysis | Animal behavior | Clays | Fluids | Law | Computational fluid dynamics | Swelling | Fluid flow | Mathematical models | Nanostructure | Bulk transporters | Engineering Sciences

Expansive clays | Contaminant transport | Homogenization | Statistical Mechanics | Poromechanics | Swelling pressure | Statistical mechanics | MEAN SPHERICAL MODEL | ONSAGERS RECIPROCITY RELATIONS | CHEMO-MECHANICAL PHENOMENA | WATER RESOURCES | 2-SCALE MODEL | IMAGE INTERACTIONS | INTEGRAL-EQUATION | CHARGED HARD-SPHERES | DIFFUSION | INHOMOGENEOUS COULOMB FLUIDS | Thermodynamics | Models | Numerical analysis | Animal behavior | Clays | Fluids | Law | Computational fluid dynamics | Swelling | Fluid flow | Mathematical models | Nanostructure | Bulk transporters | Engineering Sciences

Journal Article

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Nonequilibrium dynamics of a spin-3/2 Blume-Capel model with quenched random crystal field

Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 04/2013, Volume 332, pp. 28 - 37

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two-dimensional square...

Nonequilibrium phase transition | Quenched random crystal field | Onsager theory of irreversible thermodynamic | SYSTEM | PHYSICS, CONDENSED MATTER | RELAXATION PHENOMENA | BEHAVIOR | MATERIALS SCIENCE, MULTIDISCIPLINARY | SUSCEPTIBILITY | MAGNETIC-RELAXATION | ISING-MODEL | IRREVERSIBLE-PROCESSES | PHASE-TRANSITION POINT | RECIPROCAL RELATIONS | SUPERCONDUCTORS | Magnetization | Thermodynamics | Analysis | Physics - Statistical Mechanics

Nonequilibrium phase transition | Quenched random crystal field | Onsager theory of irreversible thermodynamic | SYSTEM | PHYSICS, CONDENSED MATTER | RELAXATION PHENOMENA | BEHAVIOR | MATERIALS SCIENCE, MULTIDISCIPLINARY | SUSCEPTIBILITY | MAGNETIC-RELAXATION | ISING-MODEL | IRREVERSIBLE-PROCESSES | PHASE-TRANSITION POINT | RECIPROCAL RELATIONS | SUPERCONDUCTORS | Magnetization | Thermodynamics | Analysis | Physics - Statistical Mechanics

Journal Article

Geochimica et Cosmochimica Acta, ISSN 0016-7037, 01/2019, Volume 244, pp. 366 - 382

We present a transport-reaction model (TRACTION) specifically designed to account for non-ideal transport effects in the presence of thermodynamic (e.g....

Onsager model | Pitzer model | Transport-reaction model | Sulfate mineral paragenesis | Mercator mud volcano | CHEMICAL-EQUILIBRIUM MODEL | SOLUTION BEHAVIOR | INTERACTION PARAMETERS | OSMOTIC COEFFICIENTS | THERMODYNAMIC MODEL | MINERAL SOLUBILITIES | ELECTROLYTE-SOLUTIONS | GEOCHEMISTRY & GEOPHYSICS | ACTIVITY-COEFFICIENTS | NATURAL-WATERS | IRREVERSIBLE-PROCESSES | Thermodynamics | Rock-salt | Analysis | Gypsum | Electrolytes | Volcanoes | Precipitation (Meteorology) | Sulfates | Leaching | Sea-water | Salinity

Onsager model | Pitzer model | Transport-reaction model | Sulfate mineral paragenesis | Mercator mud volcano | CHEMICAL-EQUILIBRIUM MODEL | SOLUTION BEHAVIOR | INTERACTION PARAMETERS | OSMOTIC COEFFICIENTS | THERMODYNAMIC MODEL | MINERAL SOLUBILITIES | ELECTROLYTE-SOLUTIONS | GEOCHEMISTRY & GEOPHYSICS | ACTIVITY-COEFFICIENTS | NATURAL-WATERS | IRREVERSIBLE-PROCESSES | Thermodynamics | Rock-salt | Analysis | Gypsum | Electrolytes | Volcanoes | Precipitation (Meteorology) | Sulfates | Leaching | Sea-water | Salinity

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2011, Volume 390, Issue 1, pp. 31 - 42

A microscopic interface condition for condensing/evaporating interfaces is developed by combining a velocity dependent condensation probability [T. Tsuruta, H....

Kinetic theory | Accommodation coefficient | Liquidâ€“vapor interface | Condensation coefficient | Onsager relations | Liquidvapor interface | OPEN GASEOUS SYSTEMS | Liquid-vapor interface | PHYSICS, MULTIDISCIPLINARY | ARBITRARY RAREFACTION | CASIMIR RECIPROCITY RELATIONS | THERMODYNAMICS | KINETIC-THEORY | COEFFICIENT | CONDENSATION | Phase boundaries | Condensing | Mathematical models | Evaporation | Accommodation | Deviation | INT | Mass transfer

Kinetic theory | Accommodation coefficient | Liquidâ€“vapor interface | Condensation coefficient | Onsager relations | Liquidvapor interface | OPEN GASEOUS SYSTEMS | Liquid-vapor interface | PHYSICS, MULTIDISCIPLINARY | ARBITRARY RAREFACTION | CASIMIR RECIPROCITY RELATIONS | THERMODYNAMICS | KINETIC-THEORY | COEFFICIENT | CONDENSATION | Phase boundaries | Condensing | Mathematical models | Evaporation | Accommodation | Deviation | INT | Mass transfer

Journal Article

Modern Physics Letters B, ISSN 0217-9849, 08/2019, Volume 33, Issue 22, p. 1950258

We have presented the time-dependent behaviors of a spin-1 Ising model (with both bilinear and biquadratic interactions) in the neighborhood of the equilibrium...

HIDDEN-VARIABLES | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | CARLO RENORMALIZATION-GROUP | relaxation times | QUADRUPOLE PHASE-TRANSITIONS | PHYSICS, MATHEMATICAL | EMERY-GRIFFITHS MODEL | MONTE-CARLO | Spin-1 Ising model | path probability method | NONEQUILIBRIUM BEHAVIOR | MAGNETIC-RELAXATION | Onsager theory | CLUSTER VARIATION METHOD | ORDER PARAMETERS | UNSTABLE SOLUTIONS

HIDDEN-VARIABLES | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | CARLO RENORMALIZATION-GROUP | relaxation times | QUADRUPOLE PHASE-TRANSITIONS | PHYSICS, MATHEMATICAL | EMERY-GRIFFITHS MODEL | MONTE-CARLO | Spin-1 Ising model | path probability method | NONEQUILIBRIUM BEHAVIOR | MAGNETIC-RELAXATION | Onsager theory | CLUSTER VARIATION METHOD | ORDER PARAMETERS | UNSTABLE SOLUTIONS

Journal Article

Optical Memory and Neural Networks, ISSN 1060-992X, 1/2018, Volume 27, Issue 1, pp. 10 - 22

For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental...

critical temperature | magnetization | free boundary conditions | Computer Science | Information Storage and Retrieval | Onsager solution | 2D Isinig model | finite-size lattice | computer simulations | spin systems | analytic expressions | Complexity | Thermodynamics | Monte Carlo method | Computer-generated environments | Algorithms | Magnetization | Computer simulation | Models

critical temperature | magnetization | free boundary conditions | Computer Science | Information Storage and Retrieval | Onsager solution | 2D Isinig model | finite-size lattice | computer simulations | spin systems | analytic expressions | Complexity | Thermodynamics | Monte Carlo method | Computer-generated environments | Algorithms | Magnetization | Computer simulation | Models

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 06/2012, Volume 85, Issue 6, p. 061107

The entropy production in classical irreversible thermodynamics is expressed as a bilinear form of generalized (driving) forces and conjugated (driven) fluxes,...

HEAT | ONSAGER | NONEQUILIBRIUM | RHEOLOGICAL PROPERTIES | TEMPERATURE | PHYSICS, FLUIDS & PLASMAS | SYSTEMS | CONDUCTION | EXTENDED IRREVERSIBLE THERMODYNAMICS | OPTIMIZATION | PHYSICS, MATHEMATICAL | RECIPROCAL RELATIONS | Entropy | Energy Transfer | Hot Temperature | Models, Chemical | Thermal Conductivity | Computer Simulation

HEAT | ONSAGER | NONEQUILIBRIUM | RHEOLOGICAL PROPERTIES | TEMPERATURE | PHYSICS, FLUIDS & PLASMAS | SYSTEMS | CONDUCTION | EXTENDED IRREVERSIBLE THERMODYNAMICS | OPTIMIZATION | PHYSICS, MATHEMATICAL | RECIPROCAL RELATIONS | Entropy | Energy Transfer | Hot Temperature | Models, Chemical | Thermal Conductivity | Computer Simulation

Journal Article

Nonlinearity, ISSN 0951-7715, 10/2018, Volume 31, Issue 12, pp. 5441 - 5462

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one...

diffusive macroscopic equations | Onsager coefficients | nonequilibrium stationary states | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | FLUCTUATIONS | Physics - Statistical Mechanics

diffusive macroscopic equations | Onsager coefficients | nonequilibrium stationary states | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | FLUCTUATIONS | Physics - Statistical Mechanics

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 01/2018, Volume 59, Issue 1

For the class of quantum integrable models generated from the qâˆ’Onsager algebra, a basis of bispectral multivariable qâˆ’orthogonal polynomials is exhibited. In...

RESPECT | XXZ SPIN CHAIN | ALGEBRAIC BETHE-ANSATZ | CONSERVED CHARGES | EQUATIONS | ONSAGERS ALGEBRA | SYSTEMS | ORTHOGONAL POLYNOMIALS | PHYSICS, MATHEMATICAL | OPERATORS | 2 LINEAR TRANSFORMATIONS

RESPECT | XXZ SPIN CHAIN | ALGEBRAIC BETHE-ANSATZ | CONSERVED CHARGES | EQUATIONS | ONSAGERS ALGEBRA | SYSTEMS | ORTHOGONAL POLYNOMIALS | PHYSICS, MATHEMATICAL | OPERATORS | 2 LINEAR TRANSFORMATIONS

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 05/2013, Volume 87, Issue 5, p. 053011

Since Kolmogorov proposed his phenomenological theory of hydrodynamic turbulence in 1941, the description of the mechanism leading to the energy cascade and...

INTERMITTENCY | ONSAGER | CHAOS | PHYSICS, FLUIDS & PLASMAS | CASCADE | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | LARGE DEVIATIONS | EULER EQUATION | Hydrodynamics | Rheology - methods | Models, Statistical | Nonlinear Dynamics | Computer Simulation

INTERMITTENCY | ONSAGER | CHAOS | PHYSICS, FLUIDS & PLASMAS | CASCADE | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | LARGE DEVIATIONS | EULER EQUATION | Hydrodynamics | Rheology - methods | Models, Statistical | Nonlinear Dynamics | Computer Simulation

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2012, Volume 391, Issue 10, pp. 2948 - 2956

The sound attenuation phenomena is investigated for a spin- 3/2 Ising model on the Bethe lattice in terms of the recursion relations by using the Onsager...

Spin- 3/2 | Sound attenuation | Onsager coefficients | Bethe lattice | Spin- 32 | Spin-3/2 | ULTRASONIC-ATTENUATION | TEMPERATURE-DEPENDENCE | PHYSICS, MULTIDISCIPLINARY | MAGNETIC CRITICAL POINT | CRITICAL BEHAVIORS | BLUME-CAPEL MODEL | PHASE-TRANSITIONS | EMERY-GRIFFITHS MODEL | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | RECURSION METHOD | Couples | Fluctuation | Lattices | Decay | Ising model | Magnetic fields | Coefficients

Spin- 3/2 | Sound attenuation | Onsager coefficients | Bethe lattice | Spin- 32 | Spin-3/2 | ULTRASONIC-ATTENUATION | TEMPERATURE-DEPENDENCE | PHYSICS, MULTIDISCIPLINARY | MAGNETIC CRITICAL POINT | CRITICAL BEHAVIORS | BLUME-CAPEL MODEL | PHASE-TRANSITIONS | EMERY-GRIFFITHS MODEL | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | RECURSION METHOD | Couples | Fluctuation | Lattices | Decay | Ising model | Magnetic fields | Coefficients

Journal Article