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(Created page with "<strong>Goal: </strong> This lecture is dedicated to a classical model in disordered systems: the directed polymer in random media. It has been introduced to model vortices in superconductur or domain wall in magnetic film. We will focus here on the algorithms that identify the ground state or compute the free energy at temperature T, as well as, on the Cole-Hopf transformation that map this model on the KPZ equation. =Polymers, interfaces and manifolds in random media=") |
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=Polymers, interfaces and manifolds in random media= | =Polymers, interfaces and manifolds in random media= | ||
We consider the following potential energy | |||
Revision as of 14:58, 28 December 2023
Goal: This lecture is dedicated to a classical model in disordered systems: the directed polymer in random media. It has been introduced to model vortices in superconductur or domain wall in magnetic film. We will focus here on the algorithms that identify the ground state or compute the free energy at temperature T, as well as, on the Cole-Hopf transformation that map this model on the KPZ equation.
Polymers, interfaces and manifolds in random media
We consider the following potential energy