C5340 Nonequilibrium systems

Faculty of Science
Autumn 2007 - for the purpose of the accreditation
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
Teacher(s)
prof. RNDr. Igor Kučera, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Igor Kučera, DrSc.
Department of Biochemistry – Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Igor Kučera, DrSc.
Prerequisites
Students must have completed the basic courses on mathemathics and physical chemistry.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 23 fields of study the course is directly associated with, display
Course objectives
The course summarizes principal axioms of classical equilibrium thermodynamics and explains the principles of of non-equilibrium thermodynamics. The introduced mathematical apparatus is applied to common non-equilibrium processes, especially to transport phenomena. Wihin the area of nonlinear phenomena, emphasis is on understanding the bases of periodic and chaotic behaviour. Simplified theoretical models are also used to analyse the mechanisms of metabolic regulation and prebiotic evolution.
Syllabus
  • A. Introduction to the thermodynamics of irreversible processes 1. Entropy production 2. Phenomenological equations and Onsager reciprocal relations 3. Evolution criteria and stability of stationary states 4. Solution of selected problems B. Thermodynamic analysis of coupled processes 1. Energy conversion 2. Osmosis and electrokinetic phenomena 3. Thermoelectric phenomena C. Mathematical modeling of nonlinear dynamic systems 1. Basic terms; attractors 2. Bifurcations 3. Spatial pattern formation 4. Oscillating Belousov-Zhabotinsky reaction 5. Metabolic control analysis 6. Prebiotic evolution
Literature
  • FISCHER, Oldřich. Nerovnovážné soustavy : termodynamika nevratných chemických a buněčných procesů. Edited by Igor Kučera. 1. vyd. Praha: Státní pedagogické nakladatelství, 1987, 154 s. info
  • ATKINS, P. W. Physical chemistry. 6th ed. Oxford: Oxford University Press, 1998, xvi, 1014. ISBN 0198501013. info
  • COVENEY, Peter V. and Roger HIGHFIELD. Šíp času :cesta vědou za rozluštěním největší záhady lidstva. 1. vyd. Ostrava: Oldag, 1995, 472 s., [1. ISBN 80-85954-08-7. info
  • GLEICK, James. Chaos :vznik nové vědy. Translated by Jaroslav Sedlář - Renata Kamenická. [1. vyd.]. Brno: Ando Publishing, 1996, 349 s. ISBN 80-86047-04-0. info
Assessment methods (in Czech)
Jednosemestrová přednáška v rozsahu 2 hod týdně. Zahrnuje i praktickou demonstraci počítačového modelování a vzniku prostorových a časových struktur při reakci Bělousova a Žabotinského. Základem zkoušky (kolokvia)je písemný test.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.