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undergraduate thesis
Poisson-Boltzmannova jednadžba i njezine primjene
2018. urn:nbn:hr:166:834168
Čikotić, Josip
University of Split
Faculty of Science
Department of Physics

Cite this document

Čikotić, J. (2018). Poisson-Boltzmannova jednadžba i njezine primjene (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:834168

Čikotić, Josip. "Poisson-Boltzmannova jednadžba i njezine primjene." Undergraduate thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:834168

Čikotić, Josip. "Poisson-Boltzmannova jednadžba i njezine primjene." Undergraduate thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:834168

Čikotić, J. (2018). 'Poisson-Boltzmannova jednadžba i njezine primjene', Undergraduate thesis, University of Split, Faculty of Science, accessed 08 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:834168

Čikotić J. Poisson-Boltzmannova jednadžba i njezine primjene [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2018 [cited 2024 December 08] Available at: https://urn.nsk.hr/urn:nbn:hr:166:834168

J. Čikotić, "Poisson-Boltzmannova jednadžba i njezine primjene", Undergraduate thesis, University of Split, Faculty of Science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:834168

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Metadata
TitlePoisson-Boltzmannova jednadžba i njezine primjene
Title (english)Poisson-Boltzmann equation and its applications
AuthorJosip Čikotić
MentorBernarda Lovrinčević (mentor)
Committee memberBernarda Lovrinčević (predsjednik povjerenstva)
Committee memberLarisa Zoranić (član povjerenstva)
Committee memberMarin Kosović (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2018-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Poisson – Boltzmannova jednadžba je eliptička parcijalna diferencijalna jednadžba drugog reda koja nam pomaže da razumijemo utjecaj elektrostatskih interakcija na ione u otopinama. Služeći se alatima iz klasične fizike - Poissonovom jednadžbom i Boltzmannovom distribucijom, možemo opisati i razumjeti razne ionske efekte u otopini. Uz određene aproksimacije, izveli smo i riješili Poisson – Boltzmannovu jednadžbu, te pokazali neke njezine primjene. Uz pomoć Debye – Hückelove i Gouy – Chapmanove teorije došli smo do rješenja Poisson – Boltzmannove jednadžbe, električnog potencijala, te objasnili neke ionske efekte poput neidealnosti ionske otopine i tzv. dvostrukog ionskog sloja. Na kraju smo razmotrili modifikacije koje je Stern uveo da bi poboljšao Gouy – Chapman teoriju.
Abstract (english)
Poisson – Boltzmann equation is an elliptic second order partial differential equation which helps us to understand how the electrostatic interactions affect the ions in solutions. Using the tools form classical physics, Poisson equation and Boltzmann distribution, we can describe and understand various ion effects in a solution. With certain approximations, we derived and solved Poisson – Boltzmann equation, and showed some of its applications. With the help of Deybe – Hückel and Gouy – Chapman theory we came to the solution of Poisson – Boltzmann equation, electric potential, and explained some ion effects such as nonideality of ionic solution and double ion layer. In the end we considered modificiations which Stern introduced to improve Gouy – Chapman theory.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:834168
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2018-12-14 15:58:17