A thermodynamic ceiling on dissipation-accelerated escape under broken detailed balance
沈雨田 1孙秀婷 2刘伟庭3
作者信息
1. 新昌县天姥实验室
2. 同济大学航空航天工程与应用力学学院
3. 浙江大学机械工程学院
折叠
Abstract
Equilibrium intuition holds that added dissipation can only stabilise an attractor against noise-driven escape; we show this is a consequence of detailed balance, and that once detailed balance is broken a suitably directed dissipation increment can instead accelerate rare escape — but no faster than a sharp thermodynamic ceiling, supN[λmax(K)]+/Si≤1/(128 a13), exact for linear (Ornstein–Uhlenbeck) dynamics with isotropic noise, dual to the thermodynamic uncertainty relation and saturated by a clean 7:1 geometry. We prove the bound, sharp constant included, in the small-coupling limit in every dimension, fully for two modes, and fully for d=3 at all couplings by an exact, machine-verifiable rational certificate with no floating-point step; d≥4 is conjectured, supported by an exact reduction and >107-configuration numerics. Isotropic noise is load-bearing — for general noise the ratio is unbounded — so Q=I is a genuine non-equilibrium condition rather than a normalisation. We validate the law in high-fidelity trajectory simulations of a non-reciprocal RLC circuit and an active-acoustic dimer, recovering the 7:1 rule and the entropy ceiling from trajectory data, and give pre-registered protocols for its laboratory measurement.
沈雨田,孙秀婷,刘伟庭.A thermodynamic ceiling on dissipation-accelerated escape under broken detailed balance[EB/OL].(2026-07-14)[2026-07-15].https://sinoxiv.napstic.cn/article/26062116.
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