# Thermal emission from finite photonic crystals

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The enhancement of the perpendicular temperature inside the resonant region, observed in numerical studies of the two-dimensional Fokkerâ€“Planck equation, combined with unidirectional rf quasilinear diffusion, is modeled on the basis of the collisional relaxation equations. Strong rf...

- Relativistic theory of classical collisional transport in a weekly coupled plasma: Solution of... Bara, K.C.; Mohanty, J.N. // Physics of Plasmas;Jun97, Vol. 4 Issue 6, p2101
Develops a generalized Fokker-Planck equation in the pattern of a well-known collision operator. Relatively singly charged electron-ion plasma under the impact of crossed electric and magnetic fields; Cross-field transport coefficients derived analytically in the limit of nonrelativistic,...

- Frequency expansion method for the one-dimensional Fokkerâ€“Planck equation. Miyazawa, Toru // Journal of Mathematical Physics;Apr93, Vol. 34 Issue 4, p1587
A frequency expansion method is formulated for the one-variable Fokkerâ€“Planck equation. It is shown that this method is valid for potentials U(x) which diverge faster than log|x| or converge to a limit faster than any powers of x as xâ†’Â±âˆž. The analysis is based on the study...

- Reaction dynamics in the low pressure regime: The Kramers model and collisional models of molecules with many degrees of freedom[ATOTHER]@f[/ATOTHER]
a[ATOTHER]@f[/ATOTHER]
). Borkovec, Michal; Berne, Bruce J. // Journal of Chemical Physics;1/15/1985, Vol. 82 Issue 2, p794
The escape rate constant out of a metastable well for an impulsive collisional (BGK) model and the Fokkerâ€“Planck frictional (Kramers) model is evaluated analytically for arbitrary potentials and any number of degrees of freedom in the low collision or low friction limit. Completely...

- Reaction rates for fluctuating barriers with asymmetric noise. Ankerhold, Joachim; Pechukas, Philip // Journal of Chemical Physics;9/15/1999, Vol. 111 Issue 11, p4886
Investigates thermally activated escape over a high barrier fluctuating randomly in time for asymmetric flipping rates. Calculation of the relaxation eigenvector and ultimate relaxation rate for piecewise linear potentials in the Smoluchowski limit; Use of the Fokker-Planck approach approximate...

- Inter-basin dynamics on multidimensional potential surfaces. I. Escape rates on complex basin surfaces. Despa, Florin; Berry, R. Stephen // Journal of Chemical Physics;11/8/2001, Vol. 115 Issue 18, p8274
In this report, we present a general prescription for computing the escape rate of the system from a basin with full consideration of the topographical fingerprint of that basin. The method is based on a solution of the reduced Fokkerâ€“Planck equation and built up to allow the separation...

- Bounce averaged Fokker—Planck theory of non-Maxwellian tail particles. Chiu, S. C. // Physics of Fluids (00319171);May85, Vol. 28 Issue 5, p1371
To take into account highly non-Maxwellian tail distributions expected in fusion and/or auxiliary heated plasmas, a self-consistent scheme of separating the non-Maxwellian tail particles from the Maxwellian bulk in the quasilinear Fokkerâ€“Planck equation is proposed. The resulting equation...

- Fokker-Planck equation and the grand molecular friction tensor for coupled rotational and... Peters, Michael H. // Journal of Chemical Physics;1/1/1999, Vol. 110 Issue 1, p528
Reports that the Fokker-Planck equation and molecular-based grand friction tensor are derived for the problem of rotational and translational motions of a structured Brownian particle. Equation near a structured wall; Extension of the theory to flexible macromolecules.

- Theorems pertaining to Fokkerâ€“Planck statistical equilibrium for multidimensional stochastic systems. Rosen, Gerald // Journal of Mathematical Physics;May86, Vol. 27 Issue 5, p1387
It is shown that a Fokker-Planck equation Î´P/Î´t = -Î£[sup n, sup l = 1] Î´[ Q, ( q ) P] /Î´q[sub i] + ½Î£[sup n, sub i, j] = [sub i]Ïƒ[sub ij] Ã— Î´ Â²P/Î´q[sub i] Î´q[sub j] with nâ‰¥3 may admit an asymptotic steady-state solution P â†’ P[sub eq] (q)...