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Absolute Entropies and the Third Law of Thermodynamics01:23

Absolute Entropies and the Third Law of Thermodynamics

Ludwig Edward Boltzmann developed a definition for entropy, which stated that absolute entropy is proportional to the natural logarithm of the number of possible combinations of particles. Entropy stands alone among state functions as the only one whose absolute values can be determined.Consider a gas sample confined to a container. As the container expands, the energy levels of gas molecules become more closely spaced. This increases the number of available energy states, thereby increasing...
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Macroscopic constraints for the minimum entropy production principle.

Matteo Polettini1

  • 1Dipartimento di Fisica, Università di Bologna, Bologna, Italy. polettini@bo.infn.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
PubMed
Summary

This study identifies constraints preventing system relaxation, revealing that steady states follow a minimum entropy production principle in linear systems. This principle aligns with Prigogine

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Thermodynamics
  • Network Theory

Background:

  • Understanding system relaxation and steady states is crucial in non-equilibrium thermodynamics.
  • Schnakenberg's observables are key to analyzing system constraints.

Purpose of the Study:

  • To identify Schnakenberg's observables as constraints preventing system relaxation.
  • To demonstrate that steady states satisfy a minimum entropy production principle in the linear regime.
  • To connect this principle to invariant states and Prigogine's formulation.

Main Methods:

  • Analysis of general network-based systems.
  • Application to master equation systems.
  • Illustrative example for principle validation.

Main Results:

  • Schnakenberg's observables are identified as constraints hindering relaxation.
  • Linear regime steady states adhere to a minimum entropy production principle.
  • The principle is shown to be consistent with Prigogine's original formulation.

Conclusions:

  • The minimum entropy production principle offers a new perspective on invariant states in master equation systems.
  • This work clarifies the relationship between system constraints, steady states, and entropy production.
  • Analogies and differences with maximum entropy production principles are discussed.