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https://hdl.handle.net/20.500.14365/4671
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DC Field | Value | Language |
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dc.contributor.author | Tsallis, Constantino | - |
dc.contributor.author | Lima, Henrique Santos | - |
dc.contributor.author | Tırnaklı, Uğur | - |
dc.contributor.author | Eroğlu, Deniz | - |
dc.date.accessioned | 2023-06-19T20:56:11Z | - |
dc.date.available | 2023-06-19T20:56:11Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0167-2789 | - |
dc.identifier.issn | 1872-8022 | - |
dc.identifier.uri | https://doi.org/10.1016/j.physd.2023.133681 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.14365/4671 | - |
dc.description.abstract | We numerically study the thermal transport in the classical inertial nearest-neighbor XY ferromagnet in d = 1, 2, 3, the total number of sites being given by N = Ld, where L is the linear size of the system. For the thermal conductance sigma, we obtain sigma(T, L)L delta(d)= A(d) e-B(d) [L gamma (d)T ]eta(d) (with ez q(d) q equivalent to [1+(1-q)z]1/(1-q); ez1 = ez; A(d) > 0; B(d) > 0; q(d) > 1; eta(d) > 2; delta >= 0; gamma(d) > 0), for all values of L gamma(d)T for d = 1, 2, 3. In the L -> infinity limit, we have sigma proportional to 1/L rho sigma(d) with rho sigma(d) = delta(d)+gamma(d)eta(d)/[q(d)-1]. The material conductivity is given by kappa = sigma Ld proportional to 1/L rho kappa(d) (L -> infinity) with rho kappa(d) = rho sigma(d) - d. Our numerical results are consistent with 'conspiratory' d-dependences of (q, eta, delta, gamma), which comply with normal thermal conductivity (Fourier law) for all dimensions.(c) 2023 Published by Elsevier B.V. | en_US |
dc.description.sponsorship | CNPq (Brazilian agency); Faperj (Brazilian agency); BAGEP Award of the Science Academy, Turkey | en_US |
dc.description.sponsorship | We acknowledge fruitful remarks by G. Benedek, E.P. Borges and S. Miret Artes, as well as partial financial support from CNPq and Faperj (Brazilian agencies) . The numerical calculations reported in this paper were partially performed at TUBITAK ULAKBIM, High Performance and Grid Computing Center (TRUBA resources) . U.T. is a member of the Science Academy, Bilim Akademisi, Turkey. D.E. was supported by the BAGEP Award of the Science Academy, Turkey. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Physica D-Nonlinear Phenomena | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Nonextensive statistical mechanics | en_US |
dc.subject | Langevin dynamics | en_US |
dc.subject | Linear transport phenomena | en_US |
dc.subject | Irreversibility | en_US |
dc.subject | Conduction | en_US |
dc.title | First-Principle Validation of Fourier's Law in D=1, 2, 3 Classical Systems | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.physd.2023.133681 | - |
dc.identifier.scopus | 2-s2.0-85147730951 | - |
dc.department | İzmir Ekonomi Üniversitesi | en_US |
dc.identifier.volume | 446 | en_US |
dc.identifier.wos | WOS:000995633300001 | - |
dc.institutionauthor | … | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q1 | - |
dc.identifier.wosquality | Q1 | - |
item.openairetype | Article | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
crisitem.author.dept | 02.03. Physics | - |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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