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\newlabel{canonical}{{1}{1}}
\newlabel{Mott}{{2}{2}}
\newlabel{Friedel}{{3}{3}}
\newlabel{Friedel_lambda}{{4}{3}}
\newlabel{reduced_canonical}{{6}{3}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1}{\ignorespaces Dislocation impeded by the obstacle, forming a cusp.}}{4}}
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\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {2}{\ignorespaces Numerical solution of cusp evolution using finite-difference scheme (\string\ref\space {canonical_fd_scheme}) with $r=0.9$.}}{5}}
\newlabel{cusp}{{2}{5}}
\newlabel{canonical_fd_scheme}{{9}{5}}
\newlabel{thermal_activation}{{13}{6}}
\newlabel{Ve}{{17}{8}}
\newlabel{Ve_wrong}{{18}{8}}
\newlabel{definition_d_s}{{21}{8}}
\newlabel{discretized_vn}{{22}{8}}
\newlabel{Kinetic}{{24}{9}}
\newlabel{K_physical}{{25}{9}}
\newlabel{lagrangian}{{27}{9}}
\newlabel{new0}{{35}{10}}
\newlabel{new1}{{36}{11}}
\newlabel{definition_new_sigma}{{37}{11}}
\newlabel{definition_new_B}{{38}{11}}
\newlabel{forward_difference}{{40}{11}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {3}{\ignorespaces Overall view of a simulation: dash rectangle shows the PBC cell; small green dots are the obstacles, which turns red/big if in contact with dislocation.}}{12}}
\newlabel{overall}{{3}{12}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {4}{\ignorespaces Blowup of a tiny region: the white points are dislocation mesh points linked by blue lines to guide the eye. The green and red dots are obstacles.}}{13}}
\newlabel{blowup}{{4}{13}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {5}{\ignorespaces Average dislocation velocity at $T=300$K, $a=10b$, $c=0.001$, $K/2\epsilon =0.1$.}}{14}}
\newlabel{velocity}{{5}{14}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {6}{\ignorespaces Average separation of nearest obstacles impeding the dislocation $\lambda $, divided by theoretical threshold (\string\ref\space {Friedel_lambda}), $\lambda _c$.}}{14}}
\newlabel{lambda}{{6}{14}}
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\newlabel{K}{{7}{15}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {8}{\ignorespaces Verification of the $\sigma _c \propto c^{1/2}$ scaling law.}}{15}}
\newlabel{c}{{8}{15}}