Initial heat-current decay versus thermal transport at a three-body resonance in a one-dimensional Fermi gas
Abstract
We theoretically study kinetic relaxation and heat transport in a dilute one-dimensional spinless Fermi gas near a three-body resonance. The full vacuum amplitude of a finite-range interaction enters the linearized Boltzmann collision operator. The resonance position that maximizes the initial heat-current decay rate lies above the one that minimizes the integrated relaxation time. At higher resonance energies, coupling among momentum moments transfers heat-current weight to a slow mode. A faster initial decay can therefore coexist with slower subsequent relaxation and a larger low-frequency heat response. The dissipative responses at two resonance positions reverse their ordering at least twice as frequency increases. Bounds on the full collision operator confirm both reversals. A fourth-moment distortion exhibits the same separation of relaxation scales and provides a probe through the momentum distribution.
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BibTeX
@misc{guo2026initial,
title = {{Initial heat-current decay versus thermal transport at a three-body resonance in a one-dimensional Fermi gas}},
author = {Yixin Guo},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07615},
eprint = {2611.07615},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07615},
}
RIS
TY - UNPB
TI - Initial heat-current decay versus thermal transport at a three-body resonance in a one-dimensional Fermi gas
AU - Yixin Guo
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07615
UR - https://arxiv.org/abs/2611.07615
AB - We theoretically study kinetic relaxation and heat transport in a dilute one-dimensional spinless Fermi gas near a three-body resonance. The full vacuum amplitude of a finite-range interaction enters the linearized Boltzmann collision operator. The resonance position that maximizes the initial heat-current decay rate lies above the one that minimizes the integrated relaxation time. At higher resonance energies, coupling among momentum moments transfers heat-current weight to a slow mode. A faster initial decay can therefore coexist with slower subsequent relaxation and a larger low-frequency heat response. The dissipative responses at two resonance positions reverse their ordering at least twice as frequency increases. Bounds on the full collision operator confirm both reversals. A fourth-moment distortion exhibits the same separation of relaxation scales and provides a probe through the momentum distribution.
ER -