Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7683
Title: The validity of the third law of thermodynamics for the Renyi and homogeneous entropies
Authors: Bağcı, Gökhan Barış
Keywords: Generalized thermodynamics
Third law
Renyi entropy
Homogeneous entropy
Concavity
Normalization
Issue Date: 2015
Publisher: Elsevier Science Bv
Abstract: Bento et al. (2015) recently proposed to use the third law of thermodynamics as a test for the generalized entropies, since the third law should be respected by any statistical mechanical entropy regardless of the explicit form of the Hamiltonian. We first consider the Renyi entropy which is the sole additive generalized entropy, and show that it violates the third law for q > 1. Interestingly, this is exactly the interval where the Renyi entropy is neither concave nor convex. We then consider the homogeneous entropy and show that it also violates the third law for 0 < q < 1. This implies that the homogeneous entropy cannot be used as a generalized statistical mechanical entropy, since the aforementioned interval is the only interval for which the homogeneous entropy yields normalizable distributions. (C) 2015 Elsevier By. All rights reserved.
URI: https://doi.org/10.1016/j.physa.2015.05.115
https://hdl.handle.net/20.500.11851/7683
ISSN: 0378-4371
1873-2119
Appears in Collections:Malzeme Bilimi ve Nanoteknoloji Mühendisliği Bölümü / Department of Material Science & Nanotechnology Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Show full item record

CORE Recommender

SCOPUSTM   
Citations

7
checked on Sep 23, 2022

WEB OF SCIENCETM
Citations

7
checked on Sep 24, 2022

Page view(s)

6
checked on Feb 6, 2023

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.