Geodesic
The Fourier law for a one-dimensional crystal
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 34-38

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For a large number of particles, an analytic representation is obtained for the heat flux of a one-dimensional harmonic crystal. It is shown that the heat flux from one particle to an another one is not linked with the temperature difference between them, i.e. the classical Fourier law is not. 
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     author = {M. A. Guzev},
     title = {The {Fourier} law for a one-dimensional crystal},
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M. A. Guzev. The Fourier law for a one-dimensional crystal. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 34-38. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a4/