洛伦兹模型中的局部细致平衡：以狂暴爆发取代蝴蝶效应
Local Detailed Balance in the Lorenz Model: Replaces the Butterfly with Frenetic Bursting
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中文总结 AI 辅助
该研究修正洛伦兹模型以满足局部细致平衡，识别热力学力与熵产生率，产生充电-放电式弛豫振荡，以狂暴爆发集中活动与熵产生。
中文摘要 AI 辅助
洛伦兹系统是对流不稳定的典型低阶模型，然而其耗散项和驱动项从未依据明确的热力学核算进行检验或构建。我们推导出一种修正，使其满足向非平衡稳态宏观弛豫的局部细致平衡条件，从而识别出所产生流的热力学力、熵产生率和狂暴度。所得模型产生从静止不动点向稳健的大振幅弛豫振荡的转变，与用于厄尔尼诺-南方涛动的充电-放电振荡器范式高度类似。该系统在漫长的近乎可逆的充电阶段与短暂的剧烈狂暴放电爆发之间交替，在爆发期间，周期中几乎所有的活动和熵产生都集中于此。
英文摘要
The Lorenz system is the canonical low-order model of convective instability, yet its dissipative and driving terms have never been checked against, nor constructed from, an explicit thermodynamic bookkeeping. We derive a modification that satisfies the local-detailed-balance condition for macroscopic relaxation toward nonequilibrium steady states, thereby identifying the thermodynamic force, entropy-production rate and frenesy of the resulting flow. The resulting model produces a transition from a quiescent fixed point to a robust, large-amplitude relaxation oscillation, closely analogous to recharge-discharge oscillator paradigms used for the El Nino-Southern Oscillation. The system alternates between a long, nearly reversible recharge phase and a brief, violently frenetic discharge burst, during which essentially all of the cycle's activity and entropy production is concentrated.
发表机构
- Department of Physics and Astronomy, KU Leuven（KU鲁汶大学物理与天文学系）
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