2017
DOI: 10.48550/arxiv.1708.05066
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From rods to blobs: When geometry is irrelevant for heat diffusion

Matthew Frick,
Swapnil Gupta,
John Bechhoefer

Abstract: Thermal systems are an attractive setting for exploring the connections between the lumpedelement approximations of elementary circuit theory and the partial-differential field equations of mathematical physics, a topic that has been neglected in physics curricula. In a calculation suitable for an undergraduate course in mathematical physics, we show that the response function between an oscillating heater and temperature probe has a smooth crossover between a low-frequency, "lumpedelement" regime where the sy… Show more

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