论文标题

Weber-Fechner法律的统计机械基础

Statistical mechanical foundation of Weber-Fechner laws

论文作者

Maes, Christian

论文摘要

尽管已经牢固地建立了感知和刺激之间的现象学关系,但在相关模型或统计物理学方面,韦伯和菲切纳定律的理论论点在很大程度上被缺少。我们在非平衡系统的响应理论方面进行了这样的讨论,其中诱导的位移或电流代表感知的刺激,这至关重要地取决于时间对称性反应性的变化。静止的非问题确实可以通过改变动力学活性来产生额外的电流。该论点是通过理解额外动态活动如何对数编码实际刺激来结束的。

Even though the phenomenological relations between perception and stimulus have been firmly established, a theoretical argument for Weber's and Fechner's law 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.

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