کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759715 896489 2009 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on the applicability of recurrence theorems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
A note on the applicability of recurrence theorems
چکیده انگلیسی

We investigate the applicability of Poincaré’s and the quantum recurrence theorems to the physical systems such as a container filled with a gas from a physical perspective. We discuss certain difficulties with regard to the definition of the Hamiltonian for such systems and the existence of one-to-one mappings as solutions to the equations of motion. We examine a typical proof of Poincaré’s recurrence theorem and notice that a key part of the proof appeals to the motion of a neighborhood of finite volume in a phase space and this neighborhood possesses infinite kinetic energy, raising another question concerning the applicability of the theorem to physical systems. The same situations also present themselves in the application of Liouville’s theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 14, Issue 6, June 2009, Pages 2587–2591
نویسندگان
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