کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10481934 933248 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Adiabatic thermostatistics of the two parameter entropy and the role of Lambert's W-function in its applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Adiabatic thermostatistics of the two parameter entropy and the role of Lambert's W-function in its applications
چکیده انگلیسی
A unified framework to describe the adiabatic class of ensembles in the generalized statistical mechanics based on Schwämmle-Tsallis two parameter (q,q′) entropy is proposed. The generalized form of the equipartition theorem, virial theorem and the adiabatic theorem are derived. Each member of the class of ensembles is illustrated using the classical nonrelativistic ideal gas and we observe that the heat functions could be written in terms of the Lambert's W-function in the large N limit. In the microcanonical ensemble we study the effect of gravitational field on classical nonrelativistic ideal gas and a system of hard rods in one dimension and compute their respective internal energy and specific heat. We found that the specific heat can take both positive and negative values depending on the range of the deformation parameters, unlike the case of one parameter Tsallis entropy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 392, Issue 19, 1 October 2013, Pages 4299-4315
نویسندگان
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