The Planck and Boltzmann Constants as Similar Generic Indicators of Stochasticity: Some Conceptual Implications of Quantum—Nonquantum Analogies

Dumitru, Spiridon

doi:10.4006/1.3029039

Cited by 6 publications

(15 citation statements)

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“…This kind of relations, in our opinion [9][10][11][12][13][14], are completely similar with the well known Heisenberg's ("uncertainty") relations from quantum mechanics.…”

Section: Thermodynamic Inequalities For Systems In the Presence Osupporting

confidence: 78%

“…At this point we wish to add the following connected remarks. The mentioned idea regarding k was firstly promoted in the work [10] of one of us. In the same work was revealed the similarity of the Boltzmann's constant k with the Planck's constant h. The last one has the signification of generic indicator of quantum stochasticity.…”

Section: Summary Conclusion and Connected Remarksmentioning

confidence: 99%

“…In the case of the quantum statistical systems k and h appear together in the expressions of the fluctuation parameters. This means that such systems are endowed with twofold stochasticity (for more details see [10]).…”

Section: Summary Conclusion and Connected Remarksmentioning

confidence: 99%

“…Our description is done in a phenomenological manner. We will appeal to usual procedures of phenomenological theory [2,4,7,8] as well as some ideas inspired by our earlier works on fluctuations [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Fluctuations in the presence of fields: Phenomenological Gaussian approximation and a class of thermodynamic inequalities

Dumitru

Boer²

2001

Phys. Rev. E

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The fluctuations of thermodynamic systems in the presence of the fields are considered. The approach is of phenomenological nature and developed in a Gaussian approximation. The cases of a magnetizable continuum in a magnetoquasistatic field, as well as the so called discrete systems are used to exemplify the study. In the latter case one finds that the fluctuation estimators depend both on the intrinsic properties of the system and on the characteristics of the environment. Following earlier ideas of one of the authors we present a class of thermodynamic inequalities for the systems investigated in this paper. In the case of two variables these inequalities are nonquantum analogs of the well known quantum Heisenberg "uncertainty" relations. In this context, the fluctuation estimators support the idea that Boltzmann's constant k has the signification of a generic indicator of stochasticity for thermodynamic systems.

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“…This kind of relations, in our opinion [9][10][11][12][13][14], are completely similar with the well known Heisenberg's ("uncertainty") relations from quantum mechanics.…”

Section: Thermodynamic Inequalities For Systems In the Presence Osupporting

confidence: 78%

Section: Summary Conclusion and Connected Remarksmentioning

confidence: 99%

Section: Summary Conclusion and Connected Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fluctuations in the presence of fields: Phenomenological Gaussian approximation and a class of thermodynamic inequalities

Dumitru

Boer²

2001

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…A survey of the mentioned kind was approached by us in the report [3] as well as in its precursor papers [7][8][9][10][11][12][13][14][15] and preprints [16]. Our approaches, summarized in [3], disclose the fact that each of all basic elements (presumptions) of CIUR are troubled by a number of insurmountable shortcomings (unthruths).…”

Section: Shortly On the Ciur Untruthsmentioning

confidence: 99%