科研之友
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摘要
An analytical solution is given for the self-heating conduction equation of a suspended one-dimensional (1D) object. The conductivity of the 1D object is given by combining Umklapp and second-order three-phonon processes. Using this analytical solution, several relations among some important parameters are discussed and are shown to be consistent with existing experimental results. A method to retrieve the coefficients for thermal conductivity is proposed for a general thermal conductor without knowing the detailed temperature profile along the 1D object.
