Year: 2026
Type: preprint
Abstract: We examine the spectral dissipation-coherence trade-off inequality conjectured by Oberreiter {\it et al}. [Phys. Rev. E 106, 014106 (2022)], stating that the coherent number, defined from the second largest eigenvalue, provides a lower bound on the stationary entropy production per unit oscillation. We disprove this conjecture by explicitly constructing a counterexample, which accompanies finite coherent number with vanishing stationary entropy production. This model also excludes a wide class of thermodynamic bound with the real and imaginary parts of the second largest eigenvalue of the transition rate matrix. Our result implies that the second largest eigenvalue does not necessarily characterize the degree of coherent oscillation.
Source: arXiv (Cornell University)
Author: Shiraishi, Naoto
Institution: The University of Tokyo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G2493344581
OpenAlex ID: W7214716795