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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 Bazhanov–Stroganov model. The Drinfeld polynomial of a L ( sl 2 ) -degenerate... 
Bethe ansatz | Drinfeld polynomial | Onsager algebra | Bazhanov–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
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
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 D≥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
Journal Article
Journal of Physics Condensed Matter, ISSN 0953-8984, 11/2014, Volume 26, Issue 46, pp. 463101 - 60
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2015, Volume 430, Issue 1, pp. 152 - 165
We study the 2D Doi–Onsager models with general potential kernel, with special emphasis on the classical Onsager kernel. Through application of topological... 
Bifurcation | Leray–Schauder degree | Rigid rod-like polymers | Stability | Doi–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
Journal Article
Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 04/2013, Volume 332, pp. 28 - 37
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2011, Volume 390, Issue 1, pp. 31 - 42
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 08/2019, Volume 33, Issue 22, p. 1950258
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
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
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
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 q−Onsager algebra, a basis of bispectral multivariable q−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
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
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2012, Volume 391, Issue 10, pp. 2948 - 2956
Journal Article