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Diffstat (limited to '2-point.tex')
| -rw-r--r-- | 2-point.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/2-point.tex b/2-point.tex index b596e3b..22cce5b 100644 --- a/2-point.tex +++ b/2-point.tex @@ -962,7 +962,7 @@ m)=E_\mathrm{th}$, the threshold energy is also the pivot around which the points asymptotically nearby marginal minima change their properties. To examine better the population of marginal points, it is necessary to look at -the next term in the series of the complexity with $\delta q$, since the linear +the next term in the series of the complexity with $\Delta q$, since the linear coefficient becomes zero at the marginal line. This tells us something intuitive: stable minima have an effective repulsion between points, and one always finds a sufficiently small $\Delta q$ that no stationary points are @@ -988,7 +988,7 @@ where $\delta\mu_1$ is given by the coefficient in \eqref{eq:expansion.mu.1} and \begin{equation} \delta\mu_2=\frac{v_f}{f'(1)f''(1)^{3/4}}\sqrt{ - \frac{E_0-E_\mathrm{th}}2\frac{f'(1)\big(f'''(1)-2f''(1)\big)+2f''(1)^2}{u_f} + \frac{E_0-E_\mathrm{th}}2\frac{2f''(1)\big(f''(1)-f'(1)\big)+f'(1)f'''(1)}{u_f} } \end{equation} Similarly, one finds that the energy lies in the range $E_1=E_0+\delta |