高维确定性系统中的可加性原理
Additivity Principle in High-dimensional Deterministic Systems
摘要：
可加性原理（AP），由Bodineau和Derrida [Phys. Rev. Lett. Vol.92，180601（2004）]，讨论了三维无序谐振晶格中热传导的情况，以考虑确定性动力学、更高维度和不同输运状态的影响，即，弹道、扩散和反常输运。计算了热传导的累积母函数，并与AP给出的计算结果进行了比较。在扩散制度，我们发现一个明确的协议与猜想，即使系统是高维的。令人惊讶的是，即使在异常制度的CGF也很好地拟合的AP。低维系统也进行了研究和三维的有效性的重要性强调。
英文摘要：
The additivity principle (AP), conjectured by Bodineau and Derrida [Phys. Rev. Lett. vol.92, 180601 (2004)], is discussed for the case of heat conduction in three-dimensional disordered harmonic lattices to consider the effects of deterministic dynamics, higher dimensionality, and different transport regimes, i.e., ballistic, diffusive, and anomalous transport. The cumulant generating function (CGF) for heat transfer is accurately calculated, and compared with the one given by the AP. In the diffusive regime, we find a clear agreement with the conjecture even if the system is high-dimensional. Surprisingly even in the anomalous regime the CGF is also well fitted by the AP. Lower dimensional systems are also studied and the importance of three-dimensionality for the validity is stressed.
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