Diffusion Equation Generalized for Modeling of Chladni Patterns

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GRABEC, Igor ;SOK , Nikolaj  .
Diffusion Equation Generalized for Modeling of Chladni Patterns. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 69, n.5-6, p. 284-286, april 2023. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/diffusion-equation-generalized-for-modeling-of-chladni-patterns/>. Date accessed: 14 nov. 2024. 
doi:http://dx.doi.org/10.5545/sv-jme.2022.507.
Grabec, I., & Sok , N.
(2023).
Diffusion Equation Generalized for Modeling of Chladni Patterns.
Strojniški vestnik - Journal of Mechanical Engineering, 69(5-6), 284-286.
doi:http://dx.doi.org/10.5545/sv-jme.2022.507
@article{sv-jmesv-jme.2022.507,
	author = {Igor  Grabec and Nikolaj   Sok },
	title = {Diffusion Equation Generalized for Modeling of Chladni Patterns},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {69},
	number = {5-6},
	year = {2023},
	keywords = {Chladni patterns; vibration driven random walk; diffusion process; },
	abstract = {Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.},
	issn = {0039-2480},	pages = {284-286},	doi = {10.5545/sv-jme.2022.507},
	url = {https://www.sv-jme.eu/sl/article/diffusion-equation-generalized-for-modeling-of-chladni-patterns/}
}
Grabec, I.,Sok , N.
2023 April 69. Diffusion Equation Generalized for Modeling of Chladni Patterns. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 69:5-6
%A Grabec, Igor 
%A Sok , Nikolaj  
%D 2023
%T Diffusion Equation Generalized for Modeling of Chladni Patterns
%B 2023
%9 Chladni patterns; vibration driven random walk; diffusion process; 
%! Diffusion Equation Generalized for Modeling of Chladni Patterns
%K Chladni patterns; vibration driven random walk; diffusion process; 
%X Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.
%U https://www.sv-jme.eu/sl/article/diffusion-equation-generalized-for-modeling-of-chladni-patterns/
%0 Journal Article
%R 10.5545/sv-jme.2022.507
%& 284
%P 3
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 69
%N 5-6
%@ 0039-2480
%8 2023-04-14
%7 2023-04-14
Grabec, Igor, & Nikolaj   Sok .
"Diffusion Equation Generalized for Modeling of Chladni Patterns." Strojniški vestnik - Journal of Mechanical Engineering [Online], 69.5-6 (2023): 284-286. Web.  14 Nov. 2024
TY  - JOUR
AU  - Grabec, Igor 
AU  - Sok , Nikolaj  
PY  - 2023
TI  - Diffusion Equation Generalized for Modeling of Chladni Patterns
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2022.507
KW  - Chladni patterns; vibration driven random walk; diffusion process; 
N2  - Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.
UR  - https://www.sv-jme.eu/sl/article/diffusion-equation-generalized-for-modeling-of-chladni-patterns/
@article{{sv-jme}{sv-jme.2022.507},
	author = {Grabec, I., Sok , N.},
	title = {Diffusion Equation Generalized for Modeling of Chladni Patterns},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {69},
	number = {5-6},
	year = {2023},
	doi = {10.5545/sv-jme.2022.507},
	url = {https://www.sv-jme.eu/sl/article/diffusion-equation-generalized-for-modeling-of-chladni-patterns/}
}
TY  - JOUR
AU  - Grabec, Igor 
AU  - Sok , Nikolaj  
PY  - 2023/04/14
TI  - Diffusion Equation Generalized for Modeling of Chladni Patterns
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 69, No 5-6 (2023): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2022.507
KW  - Chladni patterns, vibration driven random walk, diffusion process, 
N2  - Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.
UR  - https://www.sv-jme.eu/sl/article/diffusion-equation-generalized-for-modeling-of-chladni-patterns/
Grabec, Igor, AND Sok , Nikolaj .
"Diffusion Equation Generalized for Modeling of Chladni Patterns" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 69 Number 5-6 (14 April 2023)

Avtorji

Inštitucije

  • University of Ljubljana, Faculty of Mechanical Engineering, Slovenia 1
  • University of Ljubljana, Faculty of Computer and Information Science, Slovenia 2

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 69(2023)5-6, 284-286
© The Authors 2023. CC BY 4.0 Int.

https://doi.org/10.5545/sv-jme.2022.507

Random walk of particles during Chladni pattern formation is macroscopically treated as a diffusion process. The corresponding generalized diffusion equation is formulated based upon the generator of vibration driven random walk by following Einstein’s treatment of Brownian motion.

Chladni patterns; vibration driven random walk; diffusion process;