https://doi.org/10.1140/epjb/s10051-025-00866-w
Regular Article - Statistical and Nonlinear Physics
Inverse temperature dependent energy diffusion in positive and negative temperature regimes for the 1d coupled rotator lattice with bounded kinetic energy
Department of Physics, Institute of Systems Science, College of Information Science and Engineering, Huaqiao University, 361021, Xiamen, China
Received:
2
November
2024
Accepted:
13
January
2025
Published online:
3
February
2025
The negative temperature with Boltzmann description can be realized in Hamiltonian with bounded energy terms such as the 1d coupled rotator lattice with bounded kinetic energy. Normal heat conduction behavior has also been found for this 1d nonlinear lattice model. In this paper, we will systematically investigate the energy diffusion behavior for such 1d nonlinear lattice in both the positive and negative temperature regimes via equilibrium diffusion method. Normal energy diffusion is confirmed with Gaussian fitting and inverse temperature dependent energy diffusion constants are obtained over the whole temperature range.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
