caa a22 4500 467901732 CHVBK 20180406152820.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10699-005-6283-0 doi (NATIONALLICENCE)springer-10.1007/s10699-005-6283-0 Badino Massimiliano Department of Philosophy, University of Genoa, via Balbi 4, 16126, Genoa, Italy aut The Foundational Role of Ergodic Theory [Elektronische Daten] [Massimiliano Badino] The foundation of statistical mechanics and the explanation of the success of its methods rest on the fact that the theoretical values of physical quantities (phase averages) may be compared with the results of experimental measurements (infinite time averages). In the 1930s, this problem, called the ergodic problem, was dealt with by ergodic theory that tried to resolve the problem by making reference above all to considerations of a dynamic nature. In the present paper, this solution will be analyzed first, highlighting the fact that its very general nature does not duly consider the specificities of the systems of statistical mechanics. Second, Khinchin's approach will be presented, that starting with more specific assumptions about the nature of systems, achieves an asymptotic version of the result obtained with ergodic theory. Third, the statistical meaning of Khinchin's approach will be analyzed and a comparison between this and the point of view of ergodic theory is proposed. It will be demonstrated that the difference consists principally of two different perspectives on the ergodic problem: that of ergodic theory puts the state of equilibrium at the center, while Khinchin's attempts to generalize the result to non-equilibrium states. Springer, 2006 ergodic problem nationallicence ergodic theory nationallicence Khinchin nationallicence statistical mechanics nationallicence Foundations of Science Kluwer Academic Publishers 11/4(2006-12-01), 323-347 1233-1821 11:4<323 2006 11 10699 https://doi.org/10.1007/s10699-005-6283-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10699-005-6283-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Badino Massimiliano Department of Philosophy, University of Genoa, via Balbi 4, 16126, Genoa, Italy aut NATIONALLICENCE 773 0- Foundations of Science Kluwer Academic Publishers 11/4(2006-12-01), 323-347 1233-1821 11:4<323 2006 11 10699 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer