Publication

Gauge factor of thick-film resistors: Outcomes of the variable-range-hopping model

Peter Ryser, Claudio Grimaldi
2000
Journal Articles

Abstract

Despite a large amount of data and numerous theoretical proposals, the microscopic mechanism of ransport in thick-film resistors remains unclear. However, recent low-temperature measurements point toward a possible variable-range-hopping mechanism of transport. Here, we examine how such a mechanism affects the gauge factor of thick-film resistors. We find that at sufficiently low temperatures T, for which the resistivity follows the Mott’s law R(T);exp(T0 /T)1/4, the gauge factor ~GF! is proportional to (T0 /T)1/4. Moreover, the inclusion of Coulomb gap effects leads to GF;(T08/T)1/2 at lower temperatures. In addition, we study a simple model which generalizes the variable-range-hopping mechanism by taking into account the finite mean intergrain spacing. Our results suggest a possible experimental verification of the validity of the variable-range hopping in thick-film resistors.

Official source

https://infoscience.epfl.ch/entities/publication/6020f589-4b9b-4d85-95f3-8e734ad2aa5b

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Peter Ryser, Claudio Grimaldi
2000
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/6020f589-4b9b-4d85-95f3-8e734ad2aa5b

About this result

Related concepts (27)

Microscopic scale

The microscopic scale () is the scale of objects and events smaller than those that can easily be seen by the naked eye, requiring a lens or microscope to see them clearly. In physics, the microscopic scale is sometimes regarded as the scale between the macroscopic scale and the quantum scale. Microscopic units and measurements are used to classify and describe very small objects. One common microscopic length scale unit is the micrometre (also called a micron) (symbol: μm), which is one millionth of a metre.

Microscopic reversibility

The principle of microscopic reversibility in physics and chemistry is twofold: First, it states that the microscopic detailed dynamics of particles and fields is time-reversible because the microscopic equations of motion are symmetric with respect to inversion in time (T-symmetry); Second, it relates to the statistical description of the kinetics of macroscopic or mesoscopic systems as an ensemble of elementary processes: collisions, elementary transitions or reactions.

Temperature

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer. Thermometers are calibrated in various temperature scales that historically have relied on various reference points and thermometric substances for definition. The most common scales are the Celsius scale with the unit symbol °C (formerly called centigrade), the Fahrenheit scale (°F), and the Kelvin scale (K), the latter being used predominantly for scientific purposes.