Non-diffusive relaxation of a transient thermal grating analyzed with the Boltzmann transport equation

Journal of Applied Physics

Volumn 114, Issue 10, 2013, Pages

  Collins, Kimberlee C ^a   Maznev, Alexei A ^b   Tian, Zhiting ^a   Esfarjani, Keivan ^c   Nelson, Keith A ^b   Chen, Gang ^a  

^a Massachusetts Institute of Technology   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATE MODEL; BOLTZMANN TRANSPORT EQUATION; EXPONENTIAL DECAYS; HEAT DIFFUSION EQUATIONS; PHONON DISPERSIONS; PHONON MEAN FREE PATH; SPECTRAL SOLUTIONS; TRANSIENT THERMAL GRATING;

PERIODIC STRUCTURES;

PHONONS;

EID: 84884960246     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4820572     Document Type: Article

References (31)

1. P. G. Sverdrup, S. Sinha, M. Asheghi, S. Uma, and K. E. Goodson, Appl. Phys. Lett. 78, 3331 (2001). 10.1063/1.1371536
2. Y. K. Koh and D. G. Cahill, Phys. Rev. B 76, 075207 (2007). 10.1103/PhysRevB.76.075207
3. M. E. Siemens, Q. Li, R. Yang, K. A. Nelson, E. H. Anderson, M. M. Murnane, and H. C. Kapteyn, Nature Mater. 9, 26 (2010). 10.1038/nmat2568
4. A. J. Minnich, J. A. Johnson, A. J. Schmidt, K. Esfarjani, M. S. Dresselhaus, K. A. Nelson, and G. Chen, Phys. Rev. Lett. 107, 095901 (2011). 10.1103/PhysRevLett.107.095901
5. J. A. Johnson, A. A. Maznev, M. T. Bulsara, E. A. Fitzgerald, T. C. Harman, S. Calawa, C. J. Vineis, G. Turner, and K. A. Nelson, J. Appl. Phys. 111, 023503 (2012). 10.1063/1.3675467
6. J. A. Johnson, A. A. Maznev, J. Cuffe, J. K. Eliason, A. J. Minnich, T. Kehoe, C. M. S. Torres, G. Chen, and K. A. Nelson, Phys. Rev. Lett. 110, 025901 (2013). 10.1103/PhysRevLett.110.025901
7. K. T. Regner, D. P. Sellan, Z. Su, C. H. Amon, A. J. H. McGaughey, and J. A. Malen, Nat. Commun. 4, 1640 (2013). 10.1038/ncomms2630
8. A. S. Henry and G. Chen, J. Comput. Theor. Nanosci. 5, 141 (2008). 10.1166/jctn.2008.001 (Pubitemid 351314393)
9. K. Esfarjani, G. Chen, and H. T. Stokes, Phys. Rev. B 84, 085204 (2011). 10.1103/PhysRevB.84.085204
10. A. J. Minnich, G. Chen, S. Mansoor, and B. S. Yilbas, Phys. Rev. B 84, 235207 (2011). 10.1103/PhysRevB.84.235207
11. C. L. Tien and G. Chen, J. Heat Transfer 116, 799 (1994). 10.1115/1.2911450
12. G. Chen, J. Heat Transfer 118, 539 (1996). 10.1115/1.2822665
13. A. Majumdar, J. Heat Transfer 115, 7 (1993). 10.1115/1.2910673
14. S. V. J. Narumanchi, J. Y. Murthy, and C. H. Amon, J. Heat Transfer 126, 946 (2004). 10.1115/1.1833367 (Pubitemid 40355504)
15. A. Mittal and S. Mazumder, J. Heat Transfer 132, 052402 (2010). 10.1115/1.4000447
16. D. P. Sellan, J. E. Turney, A. J. H. McGaughey, and C. H. Amon, J. Appl. Phys. 108, 113524 (2010). 10.1063/1.3517158
17. H. J. Eichler, P. Günter, and D. W. Pohl, Laser-Induced Dynamic Gratings (Springer-Verlag, Berlin, 1986), Vol. 50.
18. J. A. Rogers, Y. Yang, and K. A. Nelson, Appl. Phys. A 58, 523 (1994). 10.1007/BF00332448
19. J. A. Rogers, A. A. Maznev, M. J. Banet, and K. A. Nelson, Annu. Rev. Mater. Sci. 30, 117 (2000). 10.1146/annurev.matsci.30.1.117
20. A. A. Maznev, J. A. Johnson, and K. A. Nelson, Phys. Rev. B 84, 195206 (2011). 10.1103/PhysRevB.84.195206
21. A. J. Minnich, Phys. Rev. Lett. 109, 205901 (2012). 10.1103/PhysRevLett. 109.205901
22. J.-P. M. Péraud and N. G. Hadjiconstantinou, Phys. Rev. B 84, 205331 (2011). 10.1103/PhysRevB.84.205331
23. Z. Tian, J. Garg, K. Esfarjani, T. Shiga, J. Shiomi, and G. Chen, Phys. Rev. B 85, 184303 (2012). 10.1103/PhysRevB.85.184303
24. G. Chen, Nanoscale Energy Transport and Conversion (Oxford University Press, Inc., 2005).
25. W. Press, Numerical Recipes in Fortran 77: The Art of Scientific Computing, Fortran Numerical Recipes (Cambridge University Press, 1992).
26. H. Wang, Y. Pei, A. D. LaLonde, and G. J. Snyder, Adv. Mater. 23, 1366 (2011). 10.1002/adma.201004200
27. Y. Ju and K. Goodson, Appl. Phys. Lett. 74, 3005 (1999). 10.1063/1.123994
28. C. Dames and G. Chen, Thermoelectrics Handbook: Macro to Nano, edited by, D. M. Rowe, (Taylor Francis Group, 2006).
29. F. Yang and C. Dames, Phys. Rev. B 87, 035437 (2013). 10.1103/PhysRevB.87.035437
30. M. Grant and S. Boyd, CVX: Matlab software for disciplined convex programming, version 2.0 beta, CVX Research, Inc.., 2012, see http://cvxr.com/cvx.
31. M. Grant and S. Boyd, in Recent Advances in Learning and Control, Lecture Notes in Control and Information Sciences, edited by, V. Blondel, S. Boyd, and, H. Kimura, (Springer-Verlag Limited, 2008), pp. 95-110.