Origin of the steep power-law scaling of breakdown rate · revision history

Revision 2

Accepted · core change · record

Changes against revision 1:

Title
Origin of the steep power-law scaling of breakdown rate
Plain
The chance of a spark per pulse grows roughly as the 30th power of the field and the 5th power of the pulse length; this empirical rule has no derivation.
Precise · changed · core
Revision 1: Measured breakdown rate per pulse per unit length in conditioned Cu structures follows $\mathrm{BDR} \sim E^{n} \tau_{p}^{m}$ with n approximately 30 and m approximately 5 (CLIC test-stand data), and BDR at fixed field decreases slowly with accumulated pulse number (conditioning). Derive n, m and the conditioning curve from a microscopic model, and state whether the power law persists at BDR below 1e-7 per pulse per meter of structure.
Revision 2: Measured breakdown rate per pulse per unit length in conditioned Cu structures follows $\mathrm{BDR} \sim E^{n} \tau_{p}^{m}$ with n approximately 30 and m approximately 5 (CLIC test-stand data), and BDR at fixed field decreases slowly with accumulated pulse number (conditioning). Derive n, m and the conditioning curve from a microscopic model, and state whether the power law persists at BDR below $10^{-7}$ per pulse per meter of structure.
Settled by
A model whose predicted n, m and conditioning curve match test-stand data at two or more frequencies without refitting.
Kind
well-posed
Answer type
value
References
(empty)
Literature status
open
Status note
(empty)
Posed since
(empty)

Decisions