| Abstract: |
| Random currents due to thermal fluctuations of charge carriers about an equilibrium are omnipresent and usually undesirable. If these random currents can be measured while selectively heating a conductive body, we show that one can obtain an internal functional similar to that in acousto-electric tomography. A Gauss-Newton based algorithm can then recover the conductivity, including in the complex case and when the data comes from a simulation based on a random current density. We also give a condition for local uniqueness of the inverse problem for complex conductivities. |
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