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