Details

Autor(en) / Beteiligte

• Maurer, L. N.
• Mei, S.
• Knezevic, I.
• Aksamija, Zlatan

Titel

Phonon Monte Carlo: Generating Random Variates for Thermal Transport Simulation

Ist Teil von

• Nanophononics, 2018, p.109-137

Auflage

1

Ort / Verlag

United Kingdom: CRC Press

Erscheinungsjahr

2018

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This chapter discusses numerical generation of random variates relevant for Phonon Monte Carlo (PMC), assuming that the uniformly distributed variates on the interval are accessible. It also discusses the relative merits of different approaches – direct inversion versus the rejection technique – from both theoretical and practical standpoints, which are sometimes at odds. The chapter shows that several specific examples of nonuniform distributions relevant for phonon transport. It identifies common themes in phonon generation and scattering that are useful for reusing code in a simulation. The chapter reviews the two main methods for generating random variates and the PMC method. It provides several applications: generating the attributes for phonons in equilibrium with full and isotropic dispersions, randomizing outgoing momentum upon diffuse boundary scattering, implementing contacts, and conserving energy in the simulations. PMC is a versatile stochastic technique for solving the Boltzmann equation for phonons in structures that can have real-space roughness and experimentally relevant sizes.