Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory

Nicholas F. Borrelli; Joseph F. Schroeder

doi:doi:10.11648/j.ajmp.20211003.12

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Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory

Nicholas F. Borrelli, Joseph F. Schroeder

Published in American Journal of Modern Physics (Volume 10, Issue 3)

Received: 14 April 2021 Accepted: 7 May 2021 Published: 14 May 2021

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Abstract

An argument is presented in the attempt to link the nucleation phenomenon to a broader interpretation and manifestations termed “Fluctuation and Dissipation theory”. The connection is made that the nucleation phenomenon can be thought of as being developed from “noise” which in the case of glass and crystals is spontaneous as the composition fluctuates. In many ways it will be shown it to have phenomenological similarities to turbulence and the Liesegang phenomenon, and perhaps even to some extent, evolution [1] which all having sudden threshold-like behaviors. In this paper an argument will be made of the common features of these three phenomena by comparing the mathematical equations describing the three phenomena and indicating that they inherently contain the terms that give rise to instability and how this can explained with recourse to fluctuation/dissipation theory.

Published in	American Journal of Modern Physics (Volume 10, Issue 3)
DOI	10.11648/j.ajmp.20211003.12
Page(s)	51-54
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Nucleation, Fluctuation, Glass-ceramics

References

[1]	F. J. Dyson “Infinite in all directions” First Perennial, addition 1988 (Harper Collins).
[2]	G. Wolfram and BH. Beall, Glass-Ceramic Technolgy. Am. Cer. Soc. 2019.
[3]	Marie Guignard et al Structural fluctuations and role of Ti as nucleating agent, J. Non-crystal Solids v 356, 368 (2010).
[4]	F. W, McMillan Glass Ceramics, Academic Press 1979.
[5]	S. D, Stookey US patent 292097`A 1956
[6]	E. D. Zanoto and V. M Fokin, Phil. Teans. R. Soc. Londonv 361, 591, (2003).
[7]	N. F. Borrelli Photosensitive Glasses and Glass-ceramics CRC press 2016.
[8]	D. Landau, Statistical Phys. Butterworth-Wiley 3rd ed, 1980.
[9]	P. W. Milonni, “An Introduction to Quantum Optics and Quantum Fluctuations” Oxford Press, 2019.
[10]	J. Von Neumann, Collected Works Volume 6, Pergamon Press 1963.
[11]	N. F. Borrelli et al; private unpublished data.
[12]	Turing A. M. Phil. Trans. Royal Soc. London, 237(641) 37 (1952).
[13]	K. Awazu “Strained bonds in silica” J. Appl. Phys. 94 (10) 6243 (2003).

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Nicholas F. Borrelli, Joseph F. Schroeder. (2021). Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory. American Journal of Modern Physics, 10(3), 51-54. https://doi.org/10.11648/j.ajmp.20211003.12

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ACS Style

Nicholas F. Borrelli; Joseph F. Schroeder. Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory. Am. J. Mod. Phys. 2021, 10(3), 51-54. doi: 10.11648/j.ajmp.20211003.12

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AMA Style

Nicholas F. Borrelli, Joseph F. Schroeder. Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory. Am J Mod Phys. 2021;10(3):51-54. doi: 10.11648/j.ajmp.20211003.12

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@article{10.11648/j.ajmp.20211003.12,
  author = {Nicholas F. Borrelli and Joseph F. Schroeder},
  title = {Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {3},
  pages = {51-54},
  doi = {10.11648/j.ajmp.20211003.12},
  url = {https://doi.org/10.11648/j.ajmp.20211003.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211003.12},
  abstract = {An argument is presented in the attempt to link the nucleation phenomenon to a broader interpretation and manifestations termed “Fluctuation and Dissipation theory”. The connection is made that the nucleation phenomenon can be thought of as being developed from “noise” which in the case of glass and crystals is spontaneous as the composition fluctuates. In many ways it will be shown it to have phenomenological similarities to turbulence and the Liesegang phenomenon, and perhaps even to some extent, evolution [1] which all having sudden threshold-like behaviors. In this paper an argument will be made of the common features of these three phenomena by comparing the mathematical equations describing the three phenomena and indicating that they inherently contain the terms that give rise to instability and how this can explained with recourse to fluctuation/dissipation theory.},
 year = {2021}
}

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TY  - JOUR
T1  - Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory
AU  - Nicholas F. Borrelli
AU  - Joseph F. Schroeder
Y1  - 2021/05/14
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211003.12
DO  - 10.11648/j.ajmp.20211003.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 51
EP  - 54
PB  - Science Publishing Group
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UR  - https://doi.org/10.11648/j.ajmp.20211003.12
AB  - An argument is presented in the attempt to link the nucleation phenomenon to a broader interpretation and manifestations termed “Fluctuation and Dissipation theory”. The connection is made that the nucleation phenomenon can be thought of as being developed from “noise” which in the case of glass and crystals is spontaneous as the composition fluctuates. In many ways it will be shown it to have phenomenological similarities to turbulence and the Liesegang phenomenon, and perhaps even to some extent, evolution [1] which all having sudden threshold-like behaviors. In this paper an argument will be made of the common features of these three phenomena by comparing the mathematical equations describing the three phenomena and indicating that they inherently contain the terms that give rise to instability and how this can explained with recourse to fluctuation/dissipation theory.
VL  - 10
IS  - 3
ER  -

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Author Information

Nicholas F. Borrelli

Corning Inc. Research Lab. Sullivan Park, New York, USA
Joseph F. Schroeder

Corning Inc. Research Lab. Sullivan Park, New York, USA

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APA Style

Nicholas F. Borrelli, Joseph F. Schroeder. (2021). Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory. American Journal of Modern Physics, 10(3), 51-54. https://doi.org/10.11648/j.ajmp.20211003.12

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ACS Style

Nicholas F. Borrelli; Joseph F. Schroeder. Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory. Am. J. Mod. Phys. 2021, 10(3), 51-54. doi: 10.11648/j.ajmp.20211003.12

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AMA Style

Nicholas F. Borrelli, Joseph F. Schroeder. Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory. Am J Mod Phys. 2021;10(3):51-54. doi: 10.11648/j.ajmp.20211003.12

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@article{10.11648/j.ajmp.20211003.12,
  author = {Nicholas F. Borrelli and Joseph F. Schroeder},
  title = {Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory},
  journal = {American Journal of Modern Physics},
  volume = {10},
  number = {3},
  pages = {51-54},
  doi = {10.11648/j.ajmp.20211003.12},
  url = {https://doi.org/10.11648/j.ajmp.20211003.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20211003.12},
  abstract = {An argument is presented in the attempt to link the nucleation phenomenon to a broader interpretation and manifestations termed “Fluctuation and Dissipation theory”. The connection is made that the nucleation phenomenon can be thought of as being developed from “noise” which in the case of glass and crystals is spontaneous as the composition fluctuates. In many ways it will be shown it to have phenomenological similarities to turbulence and the Liesegang phenomenon, and perhaps even to some extent, evolution [1] which all having sudden threshold-like behaviors. In this paper an argument will be made of the common features of these three phenomena by comparing the mathematical equations describing the three phenomena and indicating that they inherently contain the terms that give rise to instability and how this can explained with recourse to fluctuation/dissipation theory.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Nucleation Phenomena Interpreted by Fluctuation/Dissipation Theory
AU  - Nicholas F. Borrelli
AU  - Joseph F. Schroeder
Y1  - 2021/05/14
PY  - 2021
N1  - https://doi.org/10.11648/j.ajmp.20211003.12
DO  - 10.11648/j.ajmp.20211003.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 51
EP  - 54
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20211003.12
AB  - An argument is presented in the attempt to link the nucleation phenomenon to a broader interpretation and manifestations termed “Fluctuation and Dissipation theory”. The connection is made that the nucleation phenomenon can be thought of as being developed from “noise” which in the case of glass and crystals is spontaneous as the composition fluctuates. In many ways it will be shown it to have phenomenological similarities to turbulence and the Liesegang phenomenon, and perhaps even to some extent, evolution [1] which all having sudden threshold-like behaviors. In this paper an argument will be made of the common features of these three phenomena by comparing the mathematical equations describing the three phenomena and indicating that they inherently contain the terms that give rise to instability and how this can explained with recourse to fluctuation/dissipation theory.
VL  - 10
IS  - 3
ER  -

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