Literature DB >> 16592732

Irreversible processes at nonequilibrium steady states and Lyapounov functions.

G Nicolis1, I Prigogine.   

Abstract

Nonequilibrium stability theory is reviewed. In answer to recent comments by Fox [Fox, R. F. (1979) Proc. Natl. Acad. Sci. USA 76, 2114-2117], it is pointed out that various choices of Lyapounov functions are possible in the nonlinear range of irreversible phenomena.

Year:  1979        PMID： 16592732      PMCID： PMC411801          DOI： 10.1073/pnas.76.12.6060

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN： 0027-8424            Impact factor:   11.205


  4 in total

1.  The thermodynamic stability theory of non-equilibrium States.

Authors:  P Glansdorff; G Nicolis; I Prigogine
Journal:  Proc Natl Acad Sci U S A       Date:  1974-01       Impact factor: 11.205

2.  Fluctuations in nonequilibrium systems.

Authors:  G Nicolis; I Prigogine
Journal:  Proc Natl Acad Sci U S A       Date:  1971-09       Impact factor: 11.205

3.  Irreversible processes at nonequilibrium steady states.

Authors:  R F Fox
Journal:  Proc Natl Acad Sci U S A       Date:  1979-05       Impact factor: 11.205

4.  Qualms regarding the range of validity of the glansdorff-prigogine criterion for stability of non-equilibrium States.

Authors:  J Keizer; R F Fox
Journal:  Proc Natl Acad Sci U S A       Date:  1974-01       Impact factor: 11.205
  4 in total
  2 in total

1.  The "excess entropy" around nonequilibrium steady states, (deltaS)(ss), is not a Liapunov function.

Authors:  R F Fox
Journal:  Proc Natl Acad Sci U S A       Date:  1980-07       Impact factor: 11.205

2.  Assessing biological aging: the origin of deficit accumulation.

Authors:  Arnold Mitnitski; Xiaowei Song; Kenneth Rockwood
Journal:  Biogerontology       Date:  2013-07-17       Impact factor: 4.277
  2 in total

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