Naslov
Probabilities and statistical mechanics of large and small systems

Autori
Kuić, Domagoj

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Physics & Philosophy, The Fifth Conference, Basic Concepts of Physics, Book of Abstracts, Split, 7–8 July 2016 / Gabriela Bašić, Luka Boršić, Ljudevit Hanžek, Dragan Poljak, Ivana Skuhala Karasman, Franjo Sokolić, Berislav Žarnić / Gabriela Bašić, Luka Boršić, Ljudevit Hanžek, Dragan Poljak, Ivana Skuhala Karasman, Franjo Sokolić, Berislav Žarnić - Split, 2016

Skup
The Fifth PHYSICS & PHILOSOPHY Conference "Basic Concepts of Physics", University of Split - Croatia, 7--8 July 2016

Mjesto i datum
Split, Hrvatska, 07.07.2016. - 08.07.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
probabilities; statistical mechanics; nonequilibrium theory; Crooks fluctuation theorem; Jarzynski nonequilibrium work relation; strong system - environment coupling; thermodynamic potentials

Sažetak
It is known that statistical mechanics reproduces the thermodynamic properties of large systems in equilibrium. Standard examples are thermodynamic potentials derived in statistical mechanics for systems described by microcanonical, canonical or grand canonical ensemble. However, use of these ensembles is generally based on the assumption that the interaction of the system with its environment is weak, and therefore, the correlations existing between the degrees of freedom of the two can be neglected. This effectively means the statistical independence of the system and environment microscopic degrees of freedom. On the other hand, for „very small“ systems driven out of thermodynamic equilibrium by external forcing, the assumption of weak interaction between the system and its environment compared to the bare system Hamiltonian is not always justified. By following the approach of [1], which extends the validity of the Crooks fluctuation theorem [2] and the Jarzynski nonequilibrium work relation [3] to the quantum systems strongly coupled with their environments, we explain how that leads to a reformulation of the standard statistical mechanics expressions for thermodynamic quantities like free energy and entropy. This raises also interesting questions about the additivity and extensivity of these quantities. [1] M. Campisi, P. Talkner, P. Hanggi, Phys. Rev. Lett. 102, 210401 (2009) [2] G.E. Crooks, Phys. Rev. E 60, 2721 (1999) [3] C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997) [4] D. Kuić, Eur. Phys. J. B 89, 124 (2016)

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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