A Monte Carlo simulation for phonon transport within silicon structures at nanoscales with heat generation

International Journal of Heat and Mass Transfer

Volumn 54, Issue 9-10, 2011, Pages 1825-1838

  Wong, Basil T ^a   Francoeur, Mathieu ^b   Pinar Menguc M ^c,d  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Malaysia)

^b University of Utah   (United States)

^c OZYEGIN UNIVERSITY   (Turkey)

^d UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Ballistic transport; Heat diffusion equation; Heat generation; Monte Carlo; Near field thermal radiation; Phonon transport; Silicon thin film; The Fourier law

Indexed keywords

BALLISTIC TRANSPORTS; FOURIER LAW; HEAT DIFFUSION EQUATION; MONTE CARLO; NEAR-FIELD; PHONON TRANSPORT; SILICON THIN FILM;

BALLISTICS; COMPUTER SIMULATION; DIFFUSION; ELECTRON BEAMS; HEAT GENERATION; HEAT RADIATION; LASER BEAM EFFECTS; MONTE CARLO METHODS; NANOSTRUCTURED MATERIALS; PARTIAL DIFFERENTIAL EQUATIONS; PHONONS; TEMPERATURE DISTRIBUTION; THERMOANALYSIS; THIN FILMS; TRANSPORT PROPERTIES;

SEMICONDUCTING SILICON COMPOUNDS;

EID: 79952281079     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.10.039     Document Type: Article

References (51)

1. N.W. Ashcroft, and N.D. Mermin Solid State Physics 1976 Saunders Company Philadelphia
2. G. Chen Nanoscale Energy Transport and Conversion 2005 Oxford Press New York
3. F.P. Incropera, and D.P. DeWitt Fundamentals of Heat and Mass Transfer 4th ed. 1996 John Wiley & Sons New York
4. J.M. Ziman Principles of the Theory of Solids 1964 Cambridge University Press Cambridge
5. A. Aste, R. Vahldieck, and M. Rohner Full hydrodynamic simulation of GaAs MESFET's Int. J. Numerical Model. Electron. Netw. Device. Field. 17 2004 43 59
6. J. Lai, and A. Majumdar Concurrent thermal and electrical modeling of sub-micrometer silicon devices J. Appl. Phys. 79 9 1996 7353 7361 (Pubitemid 126628966)
7. A. Majumdar C.L. Tien, Microscale Energy Transport 1998 Begell House New York 1 93
8. K. Tomizawa Numerical Simulation of Submicron Semiconductor Devices 1993 Artech House, Inc. Norwood
9. B.T. Wong, and M.P. Mengü Nanoscale Thermal Transport for Applications in Micro/Nanomachining 2008 Springer
10. D.Y. Tzou Macro- to Microscale Heat Transfer 1997 Taylor & Francis Washington, DC
11. B.T. Wong, M.P. Mengü, and R.R. Vallance Nanoscale thermal transport induced by electron-beam Int. J. Heat Mass Transfer 50 2007 5099 5107 (Pubitemid 350180869)
12. B.T. Wong, and M.P. Mengü Analysis of electrical and thermal responses of n-doped silicon to an impinging electron beam and Joule heating Int. J. Heat Mass Transfer 52 11-12 2009 2632 2645
13. A.A. Joshi, and A. Majumdar Transient ballistic and diffusive phonon heat transport in thin films J. Appl. Phys. 74 1 1993 31 39
14. S. Mazumder, and A. Majumdar Monte Carlo study of phonon transport in solid thin films including dispersion and polarization J. Heat Transfer 123 2001 749 759 (Pubitemid 32770644)
15. G. Chen Ballistic-diffusive equations for transient heat conduction from nano to macroscales J. Heat Transfer 124 2002 320 328 (Pubitemid 34416297)
16. D. Lacroix, K. Joulain, and D. Lemonnier Monte Carlo transient phonon transport in silicon and germanium at nanoscales Phys. Rev. B 72 2005 064305
17. J. Randrianalisoa, and D. Baillis Monte Carlo simulation of steady-state microscale phonon heat transport J. Heat Transfer 130 2008 072404
18. L.-C. Liu, M.-J. Huang, Thermal conductivity modeling of micro- and nanoporous silicon, Int. J. Therm. Sci. (2010), (in press)
19. Z. Wang, R. Zhao, and Y. Chen Monte Carlo simulation of phonon transport in variable cross-section nanowires Sci. China Technol. Sci. 53 2 2010 429 434
20. M.-J. Huang, T.-C. Tsai, L.-C. Liu, A Study of Phonon Transport in Si/Ge Superlattice Thin Films Using a Fast MC Solver, Journal of Electronic Materials (2010) DOI: 10.1007/s11664-009-1066-y.
21. C. Cercignani The Boltzmann Equation and Its Applications vol. 67 1988 Springer-Verlag New York, Inc. New York
22. B.T. Wong, and M.P. Mengü Monte Carlo methods in radiative transfer and electron-beam processing J. Quant. Spectrosc. Radiat. Transfer 84 2004 437 450 (Pubitemid 38184900)
23. J.M. Ziman Electrons and Phonons 1960 Oxford University Press London
24. S.-Y. Li, H.-S. Chu, and W.-M. Yan Numerical study of phonon radiative transfer in porous nanostructures Int. J. Heat Mass Transfer 51 2008 3924 3931
25. D. Lacroix, I. Traore, S. Fumeron, and G. Jeandel Phonon transport in silicon, influence of the dispersion properties choice on the description of the anharmonic resistive mechanisms The Eur. Phys. J. B 67 2009 15 25
26. D. Lemonnier Microscale and Nanoscale Heat Transfer S. Volz, Topics Appl. Physics vol. 107 2007 Springer Berlin, Heidelberg 77 106
27. J. Baxter, Z. Bian, G. Chen, D. Danielson, M.S. Dresselhaus, A.G. Fedorov, T.S. Fisher, C.W. Jones, E. Maginn, U. Kortshagen, A. Manthiram, A. Nozik, D.R. Rolison, T. Sands, L. Shi, D. Shollh, and Y. Wu Nanoscale design to enable the revolution in renewable energy Energy Environ. Sci. 2 2009 559 588
28. Z.M. Zhang Nano/Microscale Heat Transfer 2007 McGraw-Hill New York
29. O. Essner, P. Dollfus, S. Galdin-Retailleau, and J. Saint-Martin Improved Monte Carlo algorithm of phonon transport in semiconductor nanodevices J. Phys. Conf. Series 92 2009 012079
30. Q. Hao, G. Chen, and M.-S. Jeng Frequency-dependent Monte Carlo simulations of phonon transport in twodimensional porous silicon with aligned pores J. Appl. Phys. 106 2009 114321
31. M.-S. Jeng, R. Yang, D. Song, and G. Chen Modeling the thermal conductivity and phonon transport in nanoparticle composites using Monte Carlo simulation J. Heat Transfer 130 2008 042410 042411
32. Y. Chen, D. Li, J.R. Lukes, and A. Majumdar Monte Carlo simulation of silicon nanowire thermal conductivity J. Heat Transfer 127 2005 1129 1137 (Pubitemid 43071371)
33. D. Lacroix, K. Joulain, D. Terris, and D. Lemonnier Monte Carlo modeling of phonon transport in nanodevices J. Phys. Conf. Series 92 2007 012078
34. D. Baillis, and J. Randrianalisoa Prediction of thermal conductivity of nanostructures: influence of phonon dispersion approximation Int. J. Heat Mass Transfer 52 2009 2516 2527
35. B.N. Brockhouse Lattice vibration in silicon and germanium Phys. Rev. Lett. 2 6 1959 256 258
36. M.G. Holland Analysis of lattive thermal conductivity Phys. Rev. 132 6 1963 2461 2471
37. R.F. Wood, and G.E. Giles Macroscopi theory of pulse-laser annealing, I. thermal transport and melting Phys. Rev. B 23 6 1981 2923 2942
38. W. Liu, and M. Asheghi Phonon-boundary scattering in ultrathin single-crystal silicon layers Appl. Phys. Lett. 84 19 2004 3819 3821
39. Y. Ju, and K.E. Goodson Phonon scattering in silicon films with thickness of order 100 nm Appl. Phys. Lett. 74 20 1999 3005 3007 (Pubitemid 129561556)
40. M. Asheghi, M. Toulzebaev, K.E. Goodson, Y. Leung, and S. Wong Temperature dependent thermal conductivity of single-crystal silicon layers in SOI substrates J. Heat Transfer 120 1 1998 30 36 (Pubitemid 128594572)
41. W. Liu, and M. Asheghi Thermal conduction in ultrathin pure and doped single crystal silicon layers at high temperatures J. Appl. Phys. 98 12 2005 123523
42. W. Liu, and M. Asheghi Thermal conductivity measurements of ultra-thin single crystal silicon layers J. Heat Transfer 128 1 2006 75 83
43. D. Terris, K. Joulain, D. Lemonnier, D. Lacroix, and P. Chantrenne Prediction of the thermal conductivity anisotropy of Si nanofilms - Results of several numerical methods Int. J. Therm. Sci. 48 2009 1467 1476
44. S.M. Rytov, Y.A. Kravtsov, and V.I. Tatarskii Principles of Statistical Radiophysics 3: Elements of Random Fields 1989 Springer Berlin, Heidelberg, New York
45. M. Francoeur, and M.P. Mengü Role of fluctuational electrodynamics in near-field radiative heat transfer J. Quant. Spectrosc. Radiat. Transfer 109 2008 280 293 (Pubitemid 350002251)
46. M. Francoeur, M.P. Mengü, and R. Vaillon Local density of electromagnetic states within a nanometric gap formed between thin films supporting surface phonon polaritons J. Appl. Phys. 107 2010 034313
47. M. Francoeur, M.P. Mengü, and R. Vaillon Solution of near-field thermal radiation in one-dimensional layered media using dyadic Green's functions and the scattering matrix method J. Quant. Spectrosc. Radiat. Transfer 110 2009 2002 2018
48. M. Francoeur, M.P. Mengü, and R. Vaillon Near-field radiative heat transfer enhancement via surface phonon polaritons coupling in thin films Appl. Phys. Lett. 93 2008 043109
49. M. Francoeur, M.P. Mengü, and R. Vaillon Spectral tuning of near-field radiative heat flux between two thin silicon carbide films J. Phys. D Appl. Phys. 43 2010 075501
50. C.J. Fu, and Z.M. Zhang Nanoscale radiation heat transfer for silicon at different doping levels Int. J. Heat Mass Transfer 49 2006 1703 1718
51. D.Y. Tzou, and K.S. Chiu Temperature Dependent Thermal Lagging in Ultra Fast Laser Heating International Journal of Heat and Mass Transfer 44 2001 1725 1734