Hot Brownian carriers in the Langevin picture: Application to a simple model for the Gunn effect in GaAs

Bauke, F. C.; Lagos, Roberto E.

doi:10.1016/j.physa.2013.08.081

Cited by 9 publications

(1 citation statement)

References 58 publications

(65 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 2010, information entropy production and entropy flux of Brownian particle motion in multidimension phase space was studied [28]. Lagos and Simões [13] studied a Brownian gas composed of charged particles in the presence of external fields using the Kramers and Smoluchowski equations, and Bauke [14] studied Brownian model for carrier transport in GaAs based on the Langevin equation. In these studies, Brownian motion was considered as a Markovian process.…”

Section: Introductionmentioning

confidence: 99%

Non-Markovian thermal-bath-induced Brownian motion in velocity space in the presence of a magnetic field at arbitrary direction

He¹,

Tang²,

Tian³

et al. 2021

J. Stat. Mech.

View full text Add to dashboard Cite

In this work, from the perspective of statistical mechanics, the statistical properties of charged-particle motion in a microwave field and a magnetic field with a general direction described by a generalized Langevin equation subjected to an intrinsic noise with a power-law time decay correlation function have been studied. Using the general expansion theorem for the Laplace transform, the drift velocity of a charged particle in three directions can be expressed in terms of the relaxation functions. Based on the linear response theory, the expression of the complex susceptibilities, the spectral amplification, the stationary form of current density, and the power absorption have been obtained. It is noteworthy that the stochastic dynamics of a charged particle could be induced by fractional Gaussian noise. Additionally, the variances and covariances of charged particles have been studied based on the relations between relaxation functions and memory kernel functions.

show abstract

Section: Introductionmentioning

confidence: 99%