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Arp's model splits into four types based on the value of
coefficient:
| Exponential | Harmonic | Hyperbolic | Power Loss |
|---|
| | 0 < b < 1 | | | LaTeX Math Inline |
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| body | D=D_{\infty} + \frac{t^{n-1}}{\tau^{n}} |
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| LaTeX Math Block |
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| q(t)=q_{i} \exp \left( -D \, t \right) |
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| LaTeX Math Block |
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| q(t)=\frac{q_{i}}{1+D \, t} |
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| LaTeX Math Block |
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| q(t)=q_{i} \cdot \left( 1+b \cdot D \cdot t \right)^{-1/b} |
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| LaTeX Math Block |
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| q(t)=q_{i} \exp \left( -D_{\infty}t- \left( t/\tau \right)^{n} \right) |
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| LaTeX Math Block |
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| Q(t)=\frac{q_{i}-q(t)}{D} |
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| LaTeX Math Block |
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| Q(t)=\frac{q_{i}}{D} \, \ln \left[ \frac{q_{i}}{q(t)} \right] |
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| LaTeX Math Block |
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| Q(t)=\frac{q_{i}}{D \, (1-b)} \, \left[ q_{i}^{1-b}-q(t)^{1-b} \right]
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