First-Principle Validation of Fourier's Law in D=1, 2, 3 Classical Systems

dc.authorid TIRNAKLI, Ugur/0000-0002-1104-0847
dc.authorid Santos Lima, Henrique/0000-0002-3833-0190
dc.authorwosid TIRNAKLI, Ugur/K-6866-2012
dc.contributor.author Tsallis, Constantino
dc.contributor.author Eroğlu, Deniz
dc.contributor.author Lima, Henrique Santos
dc.contributor.author Tirnakli, Ugur
dc.contributor.author Eroglu, Deniz
dc.contributor.other Molecular Biology and Genetics
dc.date.accessioned 2023-10-19T15:11:40Z
dc.date.available 2023-10-19T15:11:40Z
dc.date.issued 2023
dc.department-temp [Tsallis, Constantino; Lima, Henrique Santos] Ctr Brasileiro Pesquisas Fis, Rua Xavier Sigaud 150, BR-22290180 Rio de Janeiro, Brazil; [Tsallis, Constantino; Lima, Henrique Santos] Natl Inst Sci & Technol Complex Syst, Rua Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ, Brazil; [Tsallis, Constantino] St Fe Inst, 1399 Hyde Pk Rd, Santa Fe, NM 87501 USA; [Tsallis, Constantino] Complex Sci Hub Vienna, Josefstadter Str 39, A-1080 Vienna, Austria; [Tirnakli, Ugur] Izmir Univ Econ, Fac Arts & Sci, Dept Phys, TR-35330 Izmir, Turkiye; [Eroglu, Deniz] Kadir Has Univ, Fac Engn & Nat Sci, TR-34083 Istanbul, Turkiye en_US
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.identifier.citationcount 2
dc.identifier.doi 10.1016/j.physd.2023.133681 en_US
dc.identifier.issn 0167-2789
dc.identifier.issn 1872-8022
dc.identifier.scopus 2-s2.0-85147730951 en_US
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1016/j.physd.2023.133681
dc.identifier.uri https://hdl.handle.net/20.500.12469/5159
dc.identifier.volume 446 en_US
dc.identifier.wos WOS:000995633300001 en_US
dc.identifier.wosquality Q1
dc.khas 20231019-WoS en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Physica D-Nonlinear Phenomena en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 2
dc.subject Nonextensive statistical mechanics en_US
dc.subject Conduction En_Us
dc.subject Langevin dynamics en_US
dc.subject Linear transport phenomena en_US
dc.subject Conduction
dc.subject Irreversibility 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.wos.citedbyCount 2
dspace.entity.type Publication
relation.isAuthorOfPublication 5bae555f-a8aa-4b95-bcfe-54cc47812e13
relation.isAuthorOfPublication.latestForDiscovery 5bae555f-a8aa-4b95-bcfe-54cc47812e13
relation.isOrgUnitOfPublication 71ce8622-7449-4a6a-8fad-44d881416546
relation.isOrgUnitOfPublication.latestForDiscovery 71ce8622-7449-4a6a-8fad-44d881416546

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
5159.pdf
Size:
521.03 KB
Format:
Adobe Portable Document Format
Description:
Tam Metin / Full Text