Diffusion equation generalized for modeling of chladni patterns

Grabec, Igor (author), Sok, Nikolaj (author)

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.

• Language: English
• Keywords: Chladni patterns, vibration driven random walk, diffusion process
• Work type: Article
• Typology: 1.05 - Popular Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: Str. 284-286
• Numbering: Vol. 69, no. 5/6
• PID: 20.500.12556/RUL-146704
• UDC: 519.2
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2022.507
• COBISS.SI-ID: 154997251
• Publication date in RUL: 08.06.2023

GRABEC, Igor and SOK, Nikolaj, 2023, Diffusion equation generalized for modeling of chladni patterns. Strojniški vestnik [online]. 2023. Vol. 69, no. 5/6, p. 284–286. [Accessed 14 April 2025]. DOI 10.5545/sv-jme.2022.507. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=146704

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Zveza strojnih inženirjev in tehnikov Slovenije [etc.], = Association of Mechanical Engineers and Technicians of Slovenia [etc.
• ISSN: 0039-2480
• COBISS.SI-ID: 762116

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Title: Difuzijska enačba posplošena za modeliranje Chladnijevih vzorcev
• Keywords: Chladnijevi vzorci, naključno gibanje delcev povzročeno z vibracijami, difuzijski proces

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P2-0241
• Name: Sinergetika kompleksnih sistemov in procesov