Calculations of System Aging through the Stochastic Entropy

Rocchi, Paolo

doi:10.3390/e8030134

Cited by 7 publications

(5 citation statements)

References 1 publication

(3 reference statements)

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“…In particular we mean to calculate the effects of repairs and maintenance processes under general assumptions. This work follows two articles previously published on the same vein of research [2,3].…”

Section: Introductionmentioning

confidence: 84%

Four Common Properties of Repairable Systems Calculated with the Boltzmann-Like Entropy

Rocchi¹,

Tsitsiashvili²

2012

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Gnedenko, the father of the modern Reliability Theory, first derived some fundamental properties of reliable systems following rigid deductive logic. This paper shares the deductive method and infers four principal properties of repairable/maintainable systems using the Boltzmann-like entropy. In particular we calculate the reparability function and next discuss the physical meanings of the formal results. Lastly we comment on the broad range of applications and researches which can relate to this study.

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Section: Introductionmentioning

confidence: 84%

Four Common Properties of Repairable Systems Calculated with the Boltzmann-Like Entropy

Rocchi¹,

Tsitsiashvili²

2012

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“…The proof is in [10]. We confine our attention to: The meanings of H f and H r can be described as follows: When the functioning state is irreversible, the system S works steadily.…”

Section: A Lesson From Thermodynamicsmentioning

confidence: 99%

Reshaping the Science of Reliability with the Entropy Function

Rocchi

Capacci

2015

Entropy

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Abstract:The present paper revolves around two argument points. As first, we have observed a certain parallel between the reliability of systems and the progressive disorder of thermodynamical systems; and we import the notion of reversibility/irreversibility into the reliability domain. As second, we note that the reliability theory is a very active area of research which although has not yet become a mature discipline. This is due to the majority of researchers who adopt the inductive logic instead of the deductive logic typical of mature scientific sectors. The deductive approach was inaugurated by Gnedenko in the reliability domain. We mean to continue Gnedenko's work and we use the Boltzmann-like entropy to pursue this objective. This paper condenses the papers published in the past decade which illustrate the calculus of the Boltzmann-like entropy. It is demonstrated how the every result complies with the deductive logic and are consistent with Gnedenko's achievements.

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“…Modern theories of aging and senescence (Martin 2002;Zapata et al 2005;Rocchi 2006;Hayflick 2007) take into account some basic mechanisms that include statistical components. Aging results from cell failures that are due to nonenzyme-catalyzed reactions, which, although equally irreversible, are different from healthy metabolic reactions destroying cell components like protein and/or modifying the genetic message by hazardously changing nucleotides of DNA and RNA (Figure 1).…”

Section: Time Arrows Associated With Organism Aging and Biological Ev...mentioning

confidence: 99%

“…Entropy increases in healthy metabolic reactions, aging, and genetic changes, but the occurrence of the last two is not related to their associated entropy increase; it follows from the self-evident assertion that, sooner or later, low-probability events will take place-what is potential will become fact. Aging and genetic variation will fatally take place (Rocchi 2006) and, sometimes, the degradation of the cellular machinery will surpass the healthy metabolic processes. The increase of entropy is a necessary but insufficient condition for aging and genetic variation; and, as has Biological Theory 4(2) 2009 been pointed out by Berry (1995), the irreversibility of evolution is not a consequence of thermodynamic irreversibility.…”

Section: Time Arrows Associated With Organism Aging and Biological Ev...mentioning

confidence: 99%

Time Arrows and Determinism in Biology

Sabater

2009

Biol Theory

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I propose that, in addition to the commonly recognized increase of entropy, two more time arrows influence living beings. The increase of damage reactions, which produce aging and genetic variation, and the decrease of the rate of entropy production involved in natural selection are neglected arrows of time. Although based on the statistical theory of the arrow of time, they are distinguishable from the general arrow of the increase of entropy. Physiology under healthy conditions only obeys the increase of entropy arrow. But aging, death, and evolution are determined by the other time arrows as well. Paradoxes emerge from conflicts among the specific determinisms associated with each arrow. These conflicts, along with uncertainties intrinsic to the low-number statistics of the arrows of damage reactions and decrease of the rate of production of entropy, highlight the limits of determinism at different levels of biology and its dependence on time span and number of organisms. The recognition of the three time arrows opens new perspectives for the problem of compatibility of the flow of time in physics and psychology.

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Calculations of System Aging through the Stochastic Entropy

Abstract: The present research discusses four Ã¢Â€Â˜physicalÃ¢Â€Â™ models of system and calculates thereliability function during systemÃ¢Â€Â™s aging and maturity on the basis of the system structure

Cited by 7 publications

References 1 publication

Four Common Properties of Repairable Systems Calculated with the Boltzmann-Like Entropy

Four Common Properties of Repairable Systems Calculated with the Boltzmann-Like Entropy

Reshaping the Science of Reliability with the Entropy Function

Time Arrows and Determinism in Biology

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