Ensemble Monte Carlo Simulations of Ultrafast Phenomena in Semiconductors

Ferry, D. K.; Goodnick, Stephen M.

doi:10.1007/978-1-4613-0203-2_6

Cited by 1 publication

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“…A lot of studies were devoted to the understanding of its electronic properties and to the simulation methods for semiconductor applications. Particular attention was paid by Monte Carlo techniques, which were already established for semiconductor devices [1,2,3], and above all by the correct inclusion of the Pauli exclusion principle in the standard Ensemble Monte Carlo approach [4], which in graphene is no longer negligible due to its high electronic degeneracy; a new Direct Simulation Monte Carlo scheme (DSMC) was developed in [5] while in the literature [6,7,8,9] it remained open a discussion about the classical liouvillian or quantum-like interpretation of the free flight step [10], whose study was addressed in [11].…”

Section: Introductionmentioning

confidence: 99%

About the Definition of the Local Equilibrium Lattice Temperature in Suspended Monolayer Graphene

Coco

Mascali²,

Romano

2021

Entropy

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The definition of temperature in non-equilibrium situations is among the most controversial questions in thermodynamics and statistical physics. In this paper, by considering two numerical experiments simulating charge and phonon transport in graphene, two different definitions of local lattice temperature are investigated: one based on the properties of the phonon–phonon collision operator, and the other based on energy Lagrange multipliers. The results indicate that the first one can be interpreted as a measure of how fast the system is trying to approach the local equilibrium, while the second one as the local equilibrium lattice temperature. We also provide the explicit expression of the macroscopic entropy density for the system of phonons, by which we theoretically explain the approach of the system toward equilibrium and characterize the nature of the equilibria, in the spatially homogeneous case.

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