What question did this study set out to answer?

To establish a rigorous mathematical derivation of the maximum entropy production principle from an information-theoretic framework and clarify its connection to the fluctuation theorem.

May 10, 2005Journal of Physics A Mathematical and General

Maximum entropy production and the fluctuation theorem

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Authors

RDRoderick C. DewarAustralian National University

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Implication

Theoretical analysis reveals maximum entropy production follows from the fluctuation theorem in non-equilibrium systems, indicating it reflects the most probable macroscopic flux state.

Key Points

To establish a rigorous mathematical derivation of the maximum entropy production principle from an information-theoretic framework and clarify its connection to the fluctuation theorem.
Formulated non-equilibrium statistical mechanics using maximum information entropy (MaxEnt) with anti-symmetric constraints on phase-space paths.
Used the fluctuation theorem to extend the orthogonality property of maximum information entropy directly to entropy production.
Evaluated the resulting variational principle against classical frameworks of irreversible processes, including those by Onsager, Prigogine, and Ziegler.
Showed that the fluctuation theorem enables the formal derivation of maximum entropy production (MEP) as an intrinsic mathematical feature of MaxEnt probability distributions.
Demonstrated that MEP governs unconstrained macroscopic fluxes by selecting the configuration with the highest statistical probability.
Identified that the MaxEnt formulation recovers upper bound transport principles under specific physical constraints.

Cite This Study

Roderick C. Dewar (2005) studied this question.

synapsesocial.com/papers/6a0f0dce8a6cf2089022afb3 https://doi.org/10.1088/0305-4470/38/21/l01

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Implication

Theoretical analysis reveals maximum entropy production follows from the fluctuation theorem in non-equilibrium systems, indicating it reflects the most probable macroscopic flux state.

Maximum entropy production and the fluctuation theorem

Discussion

Member takes

Implication

Key Points

Cite This Study

Maximum entropy production and the fluctuation theorem

Discussion

Member takes

Implication

Key Points

Cite This Study

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