Energy diffusion of simple networks under the spatiotemporal thermostats

Shuan Wang, Chunhua Zeng (), Fengzao Yang, Kezhao Xiong () and Baowen Li
Additional contact information
Shuan Wang: Kunming University of Science and Technology
Chunhua Zeng: Kunming University of Science and Technology
Fengzao Yang: Kunming University of Science and Technology
Kezhao Xiong: Xi’an University of Science and Technology
Baowen Li: University of Colorado

The European Physical Journal B: Condensed Matter and Complex Systems, 2021, vol. 94, issue 12, 1-8

Abstract: Abstract 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. Graphical abstract Heat flux J vs the coupling strength k. The red circle, blue triangle and green five-pointed star refer to the total heat flux, heat flux in the self-coupled loop and shortcut, respectively. The length of the FPU- $$\beta $$ β lattice $$N = 500,$$ N = 500 , coupling at $$i = 151, j =350$$ i = 151 , j = 350 .

Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1140/epjb/s10051-021-00247-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:94:y:2021:i:12:d:10.1140_epjb_s10051-021-00247-z

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/s10051-021-00247-z

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().