TY - JOUR

T1 - Modelling non-equilibrium thermodynamic systems from the Speed-Gradient principle

AU - Khantuleva, Tatiana A.

AU - Shalymov, Dmitry S.

PY - 2016

Y1 - 2016

N2 - The application of the Speed-Gradient (SG) principle to the non-equilibrium distribution systems far away from thermodynamic equilibrium is investigated. The options for applying the SG-principle to describe the non-equilibrium transport processes in real-world environments are discussed. Investigation of nonequilibrium system’s evolution at different scale levels via the SG-principle allows for a fresh look at the thermodynamics problems associated with the behavior of the system entropy. Generalized dynamic equations for finite and infinite number of constraints are proposed. It is shown that the stationary solution to the equations, resulted from the SG-principle, is entirely coincide to the locally-equilibrium distribution function obtained by Zubarev. New approach to describe time evolution of systems far from equilibrium is proposed based on application of the SG-principle at intermediate scale level of the system internal structure. The problem of the high-rate shear flow of viscous fluid near the rigi

AB - The application of the Speed-Gradient (SG) principle to the non-equilibrium distribution systems far away from thermodynamic equilibrium is investigated. The options for applying the SG-principle to describe the non-equilibrium transport processes in real-world environments are discussed. Investigation of nonequilibrium system’s evolution at different scale levels via the SG-principle allows for a fresh look at the thermodynamics problems associated with the behavior of the system entropy. Generalized dynamic equations for finite and infinite number of constraints are proposed. It is shown that the stationary solution to the equations, resulted from the SG-principle, is entirely coincide to the locally-equilibrium distribution function obtained by Zubarev. New approach to describe time evolution of systems far from equilibrium is proposed based on application of the SG-principle at intermediate scale level of the system internal structure. The problem of the high-rate shear flow of viscous fluid near the rigi

KW - differential entropy, maximum entropy principle, speed-gradient principle

M3 - Article

VL - 375

JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

SN - 0962-8428

IS - 2088

M1 - 20160220

ER -