The maximum entropy production principle: two basic questions

Area of Science:

• Thermodynamics
• Statistical Physics
• Ecological Systems
• Environmental Science

Background:

• Maximum entropy production (MEP) is widely applied in ecological and environmental systems.
• Current applications predominantly rely on principles from thermodynamics and statistical physics.
• The foundational basis and provability of the MEP principle remain subjects of discussion.

Purpose of the Study:

• To briefly discuss the maximum entropy production principle.
• To investigate the potential of MEP as a basis for non-equilibrium thermodynamics and statistical mechanics.
• To present a new, concise proof for the maximum entropy production principle.

Main Methods:

• Review of existing applications of the maximum entropy production principle.
• Theoretical discussion on the role of MEP in non-equilibrium thermodynamics and statistical mechanics.
• Development and presentation of a novel, concise mathematical proof for the MEP principle.

Main Results:

• A new, concise proof for the maximum entropy production principle is adduced.
• The study addresses the question of whether MEP can serve as a foundational principle for non-equilibrium statistical mechanics.
• The discussion highlights the principle's relevance beyond traditional thermodynamic applications.

Conclusions:

• The presented proof offers a more concise approach to validating the maximum entropy production principle.
• The principle's potential as a fundamental basis for non-equilibrium thermodynamics and statistical mechanics is explored.
• This work contributes to a deeper understanding of the maximum entropy production principle in complex systems.