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Statistical Mechanical Foundation of Weber–Fechner Laws
Journal of Statistical Physics ( IF 1.6 ) Pub Date : 2021-03-01 , DOI: 10.1007/s10955-021-02726-0
Christian Maes

Weber–Fechner laws are phenomenological relations describing a logarithmic relation between perception and sensory stimulus in a great variety of organisms. While firmly established, a theoretical argument for those laws in terms of relevant models or from statistical physics is largely missing. We present such a discussion in terms of response theory for nonequilibrium systems, where the induced displacement or current, which stands for the perceived stimulus, crucially depends on the change in time-symmetric reactivities. Stationary nonequilibria may indeed generate extra currents by changing the dynamical activity. The argument finishes by understanding how the extra dynamical activity logarithmically encodes the actual stimulus.



中文翻译:

韦伯–费希纳定律的统计力学基础

韦伯–费希纳定律是现象学关系,描述了各种生物体的知觉和感觉刺激之间的对数关系。尽管已经确立,但从相关模型或统计物理学角度来看,对于这些定律的理论论证已大为缺失。我们在非平衡系统的响应理论方面进行了这样的讨论,在该理论中,代表感知到的刺激的感应位移或电流主要取决于时间对称反应性的变化。平稳的不平衡可能确实会通过改变动力活动而产生额外的电流。通过理解额外的动态活动如何对数编码实际刺激来结束争论。

更新日期:2021-03-01
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