https://doi.org/10.1140/epjb/s10051-021-00247-z
Regular Article - Statistical and Nonlinear Physics
Energy diffusion of simple networks under the spatiotemporal thermostats
1
Faculty of Science, Kunming University of Science and Technology, 650500, Kunming, People’s Republic of China
2
College of Science, Xi’an University of Science and Technology, 710054, Xi’an, People’s Republic of China
3
Paul M. Rady Department of Mechanical Engineering and Department of Physics, University of Colorado, 80309-0427, Boulder, CO, USA
Received:
30
August
2021
Accepted:
9
November
2021
Published online:
2
December
2021
We investigate the energy transport in simple networks consisting of one-dimensional nonlinear chain with self-coupled loop. The impacts of the loop length and coupling strength on the heat flux and spatiotemporal correlation functions of energy–momentum fluctuations are discussed via Langevin thermostats generated by spatiotemporal noise. For thermostats at different temperatures, the spatiotemporal ones can weaken the total heat flux of the system in comparison with the normal Langevin ones. The total heat flux will increase when the dispersal kernel or the loop length or the coupling strength increases, while the heat flux in the loop does not change as the dispersal kernel or the loop length increases, and decrease as the coupling strength increases. Then the underlying mechanism of heat flux can be well explained by the phonon spectra and Fourier’s law. For the thermostats at the same temperatures, it is shown that the peak of the propagating front for the trunk (PT) and the peak of the propagating front from the coupling position to the outer trunk (PC) do not change almost for the normal Langevin and spatiotemporal thermostats. The PT decreases and PC increases when the loop length or coupling strength increases. Our results may contribute to further understanding of thermal information appearing in coupled nanotubes, polymer chains and biological networks.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
