Modelling non-equilibrium thermodynamic systems from the speed-gradient principle

Area of Science:

• Physics
• Thermodynamics
• Statistical Mechanics

Background:

• Investigating systems far from thermodynamic equilibrium is crucial for understanding complex phenomena.
• Existing models often struggle to accurately describe non-equilibrium transport processes.
• The speed-gradient (SG) principle offers a potential framework for these systems.

Purpose of the Study:

• To explore the application of the speed-gradient (SG) principle to non-equilibrium systems.
• To discuss the utility of the SG principle in describing real-world non-equilibrium transport.
• To propose a novel approach for modeling systems far from equilibrium.

Main Methods:

• Applying the speed-gradient (SG) principle to analyze system evolution at various scales.
• Developing generalized dynamic equations for systems with finite and infinite constraints.
• Examining the high-rate shear flow of viscous fluid near a rigid plate.

Main Results:

• The SG principle provides a new perspective on system entropy and thermodynamics.
• Stationary solutions derived from the SG principle align with Zubarev's locally equilibrium distribution function.
• The SG principle enables the construction of closed mathematical models for non-equilibrium processes.
• A new approach for describing the time evolution of systems far from equilibrium is proposed.

Conclusions:

• The speed-gradient (SG) principle is a viable and effective tool for analyzing non-equilibrium systems.
• This principle offers a unified approach to understanding transport phenomena and system dynamics.
• The proposed methodology facilitates the development of accurate predictive models for complex systems.