Some thermodynamic aspects of development and bistability in complex multistage systems

Stanisław Sieniutycz

Abstract

Following our earlier presentations at CSNSS workshops we continue considerations on extremum properties of entropy and its associates in complex systems. In particular, we transform the well-known extremum principle for a thermodynamic potential of a physical system into the extremum principle for an entropy-based complexity in a biological system with variable number of states, thus making it possible to investigate processes of biological development and evolution. The results imply that the increase in the number of states is governed by the gradient of the complexity function based on information-theoretic entropy. Tensor form of the associated dynamics is obtained. For the assumed model of complexity, some developmental processes may progress in a relatively undisturbed manner, whereas other ones may terminate in a rapid way due to inherent instabilities. We show that these features can be predicted when describing complex evolutions in terms of variational principles for shortest paths along with suitable transversality conditions. Reversible modification of states appears as a basic reference frame.
Author Stanisław Sieniutycz (FCPE / DSP)
Stanisław Sieniutycz,,
- Department of Separation Processes
Journal seriesOpen Systems & Information Dynamics, ISSN 1230-1612
Issue year2000
Vol7
No4
Pages309-326
Publication size in sheets0.85
Keywords in Englishapplications of mathematics, information and communication, circuits, mechanical engineering, statistical physics, systems theory, control
ASJC Classification2610 Mathematical Physics; 2613 Statistics and Probability; 3109 Statistical and Nonlinear Physics
DOIDOI:10.1023/A:1011398803876
URL http://download.springer.com/static/pdf/510/art%253A10.1023%252FA%253A1011398803876.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1023%2FA%3A1011398803876&token2=exp=1485859536~acl=%2Fstatic%2Fpdf%2F510%2Fart%25253A10.1023%25252FA%25253A1011398803876.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1023%252FA%253A1011398803876*~hmac=46a7db12735acb9fb81eef93b18ace6b7d9f1bc79fd2f80e1e0de051df56acb9
Languageen angielski
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Sieniutycz S. - Some Thermodynamic Aspects....pdf 285.45 KB
Score (nominal)25
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.868; WoS Impact Factor: 2006 = 1.033 (2) - 2007=0.973 (5)
Citation count*3 (2020-09-18)
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