Abstract
In this paper the quantum heat transport in a Planck gas in the presence of the potential (other than the thermal one) is investigated. The new quantum heat transport equation which generalizes our potential-free QHT is developed. The thermal wave solution of QHT for a Planck gas is obtained and a condition for distortionless propagation of thermal wave is formulated. It is argued that the initial conditions of the Beginning (i.e., at t=0) are smeared in the time scale of the Planck time.
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REFERENCES
M. Kozlowski and J. Marciak-Kozlowska, Found. Phys. Lett. 10, 295 (1997).
E. Nelson, Phys. Rev. 150, 1079 (1966).
M. S. Carslaw and J. C. Jaeger, Operational Methods in Applied Mathematics (Oxford University Press, Oxford, 1953).
The classical hyperbolic heat transport equation has been discussed also in: D. Jou, J. Casas, and G. Lebon, Extended Irreversible Thermodynamics (Springer, New York, 1993); D. Y. Tzou, Macro-to Miscroscale Heat Transfer (Taylor & Francis, Washington, 1997).
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Kozlowski, M., Marciak-Kozlowska, J. The Smearing Out of the Thermal Initial Conditions Created in a Planck Era. Found Phys Lett 10, 599–603 (1997). https://doi.org/10.1023/A:1022453420610
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DOI: https://doi.org/10.1023/A:1022453420610