A specification of the Maxwell-Rayleigh-Heisenberg approach to modelling fluids for bioelectronic applications

DOI10.1016/j.mcm.2003.09.044zbMath1121.76374OpenAlexW2061163518MaRDI QIDQ815355

N. E. Zubov

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.09.044

zbMATH Keywords

Rayleigh's dissipation functionHeisenberg's uncertainty principleItô's stochastic differential equationdistribution function for nonzero-volume disparate particles with the spin mixturesMaxwell's single-particle probability density

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (1)

Associations and dissociations with time-dependent reaction coefficients in finite polymer mixtures: the model and analytical-numerical method for solution by successive approximations

Cites Work

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• The generalized kinetic modelling of a multicomponent ``real-life fluid by means of a single distribution function
• The generalized-kinetics-based equilibrium distribution function for composite particles
• On the generators of quantum dynamical semigroups
• Fuzzy dynamics as an alternative to statistical mechanics
• Stochastic continuum mechanics -- a thermodynamic-limit-free alternative to statistical mechanics: equilibrium of isothermal ideal isotropic uniform fluid.
• Modelling and simulating the effect of cytokines on the immune response to tumor cells.
• Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition
• A Statistical Theory of Linear Dissipative Systems, II
• CHAOTIC BEHAVIOR OF FRICTION FORCE
• MODELLING OF THE IMMUNE RESPONSE: CONCEPTUAL FRAMEWORKS AND APPLICATIONS
• GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
• MODELLING OF HIGH-DIMENSIONAL DIFFUSION STOCHASTIC PROCESS WITH NONLINEAR COEFFICIENTS FOR ENGINEERING APPLICATIONS — PART II: APPROXIMATIONS FOR COVARIANCE AND SPECTRAL DENSITY OF STATIONARY PROCESS
• Irreversibility in Heisenberg Spin Systems. II. Approximate Solution of the High-Temperature Kinetic Equations
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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