Abstract

Since fluctuations can be magnified due to internal interactions under a certain condition, the equal-probability does not hold. The entropy would be defined as S(t)=-k Σr Pr(t) ln Pr(t). From this or S=k ln Ω in an internal condensed process, possible decrease of entropy is calculated. Internal interactions, which bring about inapplicability of the statistical independence, cause possibly decreases of entropy in an isolated system. This possibility is researched for attractive process, internal energy, system entropy and nonlinear interactions, etc. An isolated system may form a self-organized structure probably.

Highlights

  • Usual development of the second law of the thermodynamics was based on an open system, for example, the dissipative structure theory [1]

  • Fort and Llebot [4] proved that the classical entropy does not increase monotonically for an isolated fluid, and considered that the generalized entropy of extended irreversible thermodynamics is more suitable for this fluid

  • In a biological self-organizing process some isolated systems may tend to the order states spontaneously

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Summary

Full Paper

Received: 22 November 2004/ Revised: 7 February 2005 / Accepted: 20 May 2005 / Published: 28 August 2005. Abstract:Since fluctuations can be magnified due to internal interactions under a certain condition, the equal-probability does not hold. From this or S = k ln Ω in an internal condensed process, r possible decrease of entropy is calculated. Internal interactions, which bring about inapplicability of the statistical independence, cause possibly decreases of entropy in an isolated system. This possibility is researched for attractive process, internal energy, system entropy and nonlinear interactions, etc. An isolated system may form a self-organized structure probably

INTRODUCTION
FLUCTUATION MAGNIFIED AND UNEQUAL PROBABILITY
The probability of the particular state r is
From this we derive
According to
DISCUSSION
Full Text
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