Short time corrections to random phase approximation in thermal conduction |
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| Affiliation: | 1. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91009, USA;2. Department of Earth, Atmospheric, and Planetary Sciences, Purdue University, 550 Stadium Mall Dr., West Lafayette, IN 47907, USA;3. Planetary Science Institute, 1700 East Fort Lowell, Suite 106, Tucson, AZ 85719, USA;4. Northern Arizona University, 537 S Beaver St, Flagstaff, AZ 86011-6010, USA;5. CNRS UMR 6112 Laboratoire de Planétologie et Géodynamique, Université de Nantes, 44330 Nantes, France;6. U.S. Geological Survey, Astrogeology Science Center, 2255 N. Gemini Drive, Flagstaff, AZ 86001, USA;7. Lunar and Planetary Laboratory, University of Arizona, 1629 E University Blvd, Tucson, AZ 85721, USA;8. Department of Geological Sciences, Stanford University, 450 Jane Stanford Way, Stanford, CA 94305, USA;9. Colgate University, 13 Oak Dr., Hamilton, NY 13346, USA;10. National History Museum, Cromwell Rd, South Kensington, London SW7 5BD, United Kingdom;11. Laboratory for Atmospheric and Space Physics, University of Colorado – Boulder, 1234 Innovation Dr., Boulder, CO 80303, USA;12. U.S. Naval Research Laboratory, 4555 Overlook Ave. S.W., Washington, DC 20375, USA;13. Independent researcher |
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| Abstract: | ![]()
Conduction of heat is often described in the random phase approximation (RPA), referring to phonon number but neglecting phases. At is found in several solvable one-dimensional models that there are corrections to RPA at short times t, including a quantum correction which may be irregular as t→0+. |
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