Rigorous relations of nonequilibrium statistical physics are discussed. An arbitrary system brought into a strongly nonequilibrium state by an external time-dependent impact is considered. Based on the Hamiltonian formalism of classical mechanics, the Bochkov—Kuzovlev equality, the Jarzynski equality, and Crooks reversal relations valid for fluctuations in the work done on a system are derived. Verification of these equalities in mechanical experiments with a torsion pendulum and biological objects (folded ribonucleic acids) is described.

PACS: 05.20.−y, 05.40.−a, 05.70.Ln (all) DOI: 10.3367/UFNe.0181.201106d.0647 URL: https://ufn.ru/en/articles/2011/6/d/ 000296147800004 2-s2.0-80052821488 2011PhyU...54..625P Citation: Pitaevskii L P "Rigorous results of nonequilibrium statistical physics and their experimental verification" Phys. Usp. 54 625–632 (2011) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 18th, April 2011 Оригинал: Питаевский Л П «Строгие результаты неравновесной статистической физики и их экспериментальная проверка» УФН 181 647–654 (2011); DOI: 10.3367/UFNr.0181.201106d.0647