A thermodynamical study of the clockwork hypothesis proposed by E. Schrodinger

Etsuro Ito, Eiji Shiomitsu, Hideo Suzuki

Research output: Contribution to journalArticle

Abstract

In the present study, the 'clockwork' hypothesis proposed by Schrodinger was examined from the viewpoint of thermodynamics. Firstly, noticing a unidirectional transfer of entropy in a heat engine, the logic was briefly explained about a close relation between this entropy transfer and an irreversible cycle performed by a working body. Next, paying attention to two fundamental differences between a heat engine and a biological system, we considered an isolated system A(Σ) consisting of three one-component systems (A(i), A, A(o)) and noted a case that the same molecules as the component ones flowed quasistatically into A(i) from the outside. Then, the unidirectional flows of the molecules, energy and entropy, which were induced by the above inflow in A(Σ), were formulated on the basis of the equilibrium thermodynamics for an open system. Furthermore, it was clarified that the fundamental equation for these flows is the Schrodinger inequality and that the necessary-sufficient condition for this inequality is the existence of an irreversible cycle performed by A. Here A corresponds to a working body in a heat engine. It was, thus, concluded that the 'clockwork' hypothesis by Schrodinger is considered to be reasonable for a biological system composed of various irreversible subsystems. Copyright (C) 2000 Elsevier Science B.V.

Original languageEnglish
Pages (from-to)85-93
Number of pages9
JournalBiophysical Chemistry
Volume86
Issue number1
DOIs
Publication statusPublished - 2000 Jul 31
Externally publishedYes

Fingerprint

heat engines
Heat engines
Entropy
Hot Temperature
Biological systems
entropy
Thermodynamics
cycles
Molecules
Open systems
thermodynamic equilibrium
logic
molecules
thermodynamics
energy

Keywords

  • Clausius inequality
  • Clockwork
  • Irreversible cycle
  • Negative entropy
  • Schrodinger inequality

ASJC Scopus subject areas

  • Biochemistry
  • Physical and Theoretical Chemistry
  • Biophysics

Cite this

A thermodynamical study of the clockwork hypothesis proposed by E. Schrodinger. / Ito, Etsuro; Shiomitsu, Eiji; Suzuki, Hideo.

In: Biophysical Chemistry, Vol. 86, No. 1, 31.07.2000, p. 85-93.

Research output: Contribution to journalArticle

Ito, Etsuro ; Shiomitsu, Eiji ; Suzuki, Hideo. / A thermodynamical study of the clockwork hypothesis proposed by E. Schrodinger. In: Biophysical Chemistry. 2000 ; Vol. 86, No. 1. pp. 85-93.
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