Equilibrium Distributions in Open and Closed Statistical Systems

التفاصيل البيبلوغرافية
العنوان: Equilibrium Distributions in Open and Closed Statistical Systems
المؤلفون: Lopez-Ruiz, Ricardo, Sanudo, Jaime, Calbet, Xavier
سنة النشر: 2010
المجموعة: Mathematics
Nonlinear Sciences
Condensed Matter
Statistics
مصطلحات موضوعية: Nonlinear Sciences - Chaotic Dynamics, Condensed Matter - Statistical Mechanics, Mathematics - Statistics Theory
الوصف: In this communication, the derivation of the Boltzmann-Gibbs and the Maxwellian distributions is presented from a geometrical point of view under the hypothesis of equiprobability. It is shown that both distributions can be obtained by working out the properties of the volume or the surface of the respective geometries delimited in phase space by an additive constraint. That is, the asymptotic equilibrium distributions in the thermodynamic limit are independent of considering open or closed homogeneous statistical systems.
Comment: 5 pages, 0 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1001.3327
رقم الأكسشن: edsarx.1001.3327
قاعدة البيانات: arXiv