多种群网络电阻波动中相关衰减的调节
Tuning the Correlation Decay in the Resistance Fluctuations of Multi-Species Networks
摘要：
提出了一种新的网络模型来描述无序材料中的$1/f^α$电阻噪声，适用于宽范围的$α$值（$0< α< 2$）。更准确地说，我们考虑了一个薄电阻器的电阻波动与颗粒结构在不同的稳态：从近平衡到远离平衡条件。该系统已被建模为由不同种类的电阻器制成的网络，其区别在于它们的电阻、温度系数以及与断裂和恢复的热激活过程相关的能量。的电阻波动的相关行为进行了分析，作为一个函数的温度和施加的电流，在频域和时域。对于噪声频率指数，该模型在低电流下提供$0< α< 1$，在欧姆状态下，$α$与温度成反比地减小，并且在高电流下提供$1< α<2$，在非欧姆状态下。由于阈值电流与非线性的开始也取决于温度，所提出的模型定性地解释了在许多实验中观察到的$α$对温度和电流的复杂行为。相应地，在时域中，电阻波动的自关联函数表现出受外部条件调节的多种行为。
英文摘要：
A new network model is proposed to describe the $1/f^α$ resistance noise in disordered materials for a wide range of $α$ values ($0< α< 2$). More precisely, we have considered the resistance fluctuations of a thin resistor with granular structure in different stationary states: from nearly equilibrium up to far from equilibrium conditions. This system has been modelled as a network made by different species of resistors, distinguished by their resistances, temperature coefficients and by the energies associated with thermally activated processes of breaking and recovery. The correlation behavior of the resistance fluctuations is analyzed as a function of the temperature and applied current, in both the frequency and time domains. For the noise frequency exponent, the model provides $0< α< 1$ at low currents, in the Ohmic regime, with $α$ decreasing inversely with the temperature, and $1< α<2$ at high currents, in the non-Ohmic regime. Since the threshold current associated with the onset of nonlinearity also depends on the temperature, the proposed model qualitatively accounts for the complicate behavior of $α$ versus temperature and current observed in many experiments. Correspondingly, in the time domain, the auto-correlation function of the resistance fluctuations displays a variety of behaviors which are tuned by the external conditions.
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