Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/4671
Title: First-principle validation of Fourier's law in d=1, 2, 3 classical systems
Authors: Tsallis, Constantino
Lima, Henrique Santos
Tırnaklı, Uğur
Eroğlu, Deniz
Keywords: Nonextensive statistical mechanics
Langevin dynamics
Linear transport phenomena
Irreversibility
Conduction
Publisher: Elsevier
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.
URI: https://doi.org/10.1016/j.physd.2023.133681
https://hdl.handle.net/20.500.14365/4671
ISSN: 0167-2789
1872-8022
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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