Long Mean Free Path Modifications of Electron Heat Conduction

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TL;DRAbstract

Abstract The Spitzer‐Härm parallel electron heat conductivity begins to fail even at surprisingly large values of collisionality because the energy squared dependence of the mean free path results in contributions from electrons not satisfying the short mean free path expansion. Self‐similar solutions of model problems are employed to demonstrate that exponentially small, non‐expandable modifications that cannot be retained in conventional treatments are the cause of the departure of heat transport from its Spitzer‐Härm value.

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Abstract The Spitzer‐Härm parallel electron heat conductivity begins to fail even at surprisingly large values of collisionality because the energy squared dependence of the mean free path results in contributions from electrons not satisfying the short mean free path expansion. Self‐similar solutions of model problems are employed to demonstrate that exponentially small, non‐expandable modifications that cannot be retained in conventional treatments are the cause of the departure of heat transport from its Spitzer‐Härm value.

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