Nonlinear effects in thermal wave propagation near zero absolute temperature |
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Affiliation: | 1. Department of Materials Science & Engineering, Yonsei University, Seoul 03722, Republic of Korea;2. Advanced Materials and Processing R&D Group, Korea Institute of Industrial Technology, Incheon 21999, Republic of Korea |
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Abstract: | The nonlinear theory of thermal wave propagation at low temperatures, i.e. in the realm of hyperbolic heat conduction, is discussed with regard to implications of experimental data and numerical calculations. Simplifying assumptions of earlier approaches are replaced by a consequent nonlinear thermodynamics. The effects of nonlinearity on the solution behavior are investigated. In particular, Lax conditions on shock waves are analyzed and temperature ranges of admissibility for discontinuities are identified. |
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