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Exploring temperature at the nano-scale

Thermodynamics was developed in the mid 19th century to explain how steam engines worked in terms of macroscopic variables such as temperature, pressure and heat. Boltzmann and Gibbs later established the microscopic foundations of thermodynamics in terms of the statistical mechanics of large numbers (~1023) of atoms and molecules. But with today's increasing interest in nano-scale devices, it is crucial to ask if the concept of temperature is valid for systems that contain a relatively small numbers of atoms? According to a recent study by Michael Hartmann and Gunter Mahler of the University of Stuttgart and Ortwin Hess of the University of Surrey, the answer to this question is "no" (Phys. Rev. Lett. 93 080402).

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