MONTE CARLO METHODS FOR SOLVING THE BOLTZMANN TRANSPORT EQUATION
作者： Jean-Philippe M. Peraud , Colin D. Landon , Nicolas G. Hadjiconstantinou
DOI: 10.1615/ANNUALREVHEATTRANSFER.2014007381
关键词: Quantum Monte Carlo 、 Hybrid Monte Carlo 、 Monte Carlo method in statistical physics 、 Monte Carlo method 、 Boltzmann equation 、 Computer science 、 Statistical physics 、 Dynamic Monte Carlo method 、 Monte Carlo molecular modeling 、 Direct simulation Monte Carlo
摘要: We review Monte Carlo methods for solving the Boltzmann equation applications to small-scale transport processes, with particular emphasis on nanoscale heat as mediated by phonons. Our discussion reviews numerical foundations of algorithms, basic simulation methodology, well recent developments in field. Examples latter include formulations calculating effective thermal conductivity periodically nanostructured materials and variance-reduction methodologies reducing computational cost associated statistical sampling field properties interest, such temperature flux. Recent are presented context current practical including multiscale problems that have motivated some most developments.
sci-hub.st 参考文章(136)
Samuel Jr. Graham, .), C. C. Wong, Edward
Stanley Piekos, Multiscale thermal transport. Sandia National Laboratories. ,(2004) , 10.2172/889417
Yoshio Sone, Molecular Gas Dynamics: Theory, Techniques, and Applications ,(2006)
G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows ,(1994)
N.G. Hadjiconstantinou, Discussion of recent developments in hybrid atomistic-continuum methods for multiscale hydrodynamics Bulletin of The Polish Academy of Sciences-technical Sciences. ,vol. 53, pp. 335- 342 ,(2005)
Karl Joulain, Damian Terris, Denis Lemonnier, David Lacroix, Modeling semiconductor nanostructures thermal properties: The dispersion role Journal of Applied Physics. ,vol. 105, pp. 073516- ,(2009) , 10.1063/1.3086409
N. Mingo, D. A. Stewart, D. A. Broido, L. Lindsay, W. Li, Ab Initio Thermal Transport Springer, New York, NY. pp. 137- 173 ,(2014) , 10.1007/978-1-4614-8651-0_5
Lingping Zeng, Experimental and numerical investigation of phonon mean free path distribution Massachusetts Institute of Technology. ,(2013)
Carlo Cercignani, The Boltzmann equation and its applications ,(1988)
Kenneth M. Case, Paul F. Zweifel, G. C. Pomraning, Linear Transport Theory Physics Today. ,vol. 21, pp. 72- 73 ,(1968) , 10.1063/1.3034554
Colin Donald Landon, A deviational Monte Carlo formulation of ab initio phonon transport and its application to the study of kinetic effects in graphene ribbons Massachusetts Institute of Technology. ,(2014)