Kinetic Theory Derivation of the Transport Coefficients of Stochastic Rotation Dynamics†

2005 ◽  
Vol 109 (14) ◽  
pp. 6505-6513 ◽  
Author(s):  
C. M. Pooley ◽  
J. M. Yeomans
Keyword(s):  
Kinetic Theory ◽  
Transport Coefficients ◽  
Rotation Dynamics

scholarly journals Relating the Lyapunov exponents to transport coefficients in kinetic theory

2019 ◽  
Vol 982 ◽  
pp. 227-230
Author(s):  
M. Martinez ◽  
A. Behtash ◽  
C.N. Cruz-Camacho ◽  
S. Kamata
Keyword(s):  
Kinetic Theory ◽  
Lyapunov Exponents ◽  
Transport Coefficients

Atomic transport via point defects in crystals V. Equivalence of kinetic and linear response theories

1987 ◽  
Vol 413 (1845) ◽  
pp. 429-441 ◽  
Keyword(s):  
Kinetic Theory ◽  
Point Defects ◽  
Linear Response ◽  
Transport Coefficients ◽  
Linear Response Theory ◽  
Time Dependent ◽  
Defects In Crystals ◽  
Response Functions ◽  
Atomic Transport ◽  
Solute Atoms

Earlier papers in this series have presented a general formulation of the kinetic theory of isothermal atomic transport via point defects. This has been used to derive expressions for the macroscopic transport coefficients and to analyse the response to time-dependent fields in terms of parameters characterizing the defects and their interaction with solute atoms, etc. In this paper it is shown that these transport coefficients and response functions are invariant with respect to a class of transformations of the quantities representing the defect displacements in all the transitions considered. In this way the exact equivalence of these results of kinetic theory to corresponding results of the linear response theory of Allnatt and Okamura is demonstrated.

KINETIC THEORY OF INFRARED HALL EFFECT IN SIMPLE METALS

2000 ◽  
Vol 14 (14) ◽  
pp. 495-503 ◽  
Author(s):  
SHIGEJI FUJITA ◽  
YOUNG-GI KIM ◽  
YOSHINOBU OKAMURA
Keyword(s):  
Kinetic Theory ◽  
Hall Effect ◽  
Hall Coefficient ◽  
Transport Coefficients ◽  
The Real ◽  
Conduction Electrons ◽  
Scattering Rate ◽  
Remarkable Result ◽  
Dynamic Scattering ◽  
Scattering Rates

A kinetic theory is developed for the infrared (IR) Hall effect. The dynamic transport coefficients including the conductivity σ, cot θ H (θ H = Hall angle ) and the Hall coefficient R H for a system of conduction electrons ("electrons" or "holes") are shown to be obtained by applying the conversion rule: γ0 → γ(ω) -iω to the expressions for the static coefficients, where γ0 [γ(ω)] are static (dynamic) scattering rates which depend on the frequency ω and temperature T. If the real (Re) and imaginary (Im) parts of σ(ω) are measured, the ratio Re [σ(ω)]/ Im [σ(ω)] is equal to γ/ω, which directly gives the dynamic rate γ(ω, T). The ratio Re [ cot θ H ]/ Im [ cot θ H ] = -γ H (ω, T)/ω yields the dynamic Hall rate γ H (ω, T). The IR Hall effect experiments give a remarkable result: γ H (ω, T) = γ H , 0(T), that is, the dynamic Hall scattering rate is equal to the static rate up to mid-IR ~1000 cm -1.

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