We consider the Larkin model of a directed polymer with Gaussian-distributed random forces, with the addition of a resetting process whereby the transverse position of the end-point of the polymer is reset to zero with constant rate r . We express the average over disorder of the mean time to absorption by an absorbing target at a fixed value of the transverse position. Thanks to the independence properties of the distribution of the random forces, this expression is analogous to the mean time to absorption for a diffusive particle under resetting, which possesses a single minimum at an optimal value ##IMG## [http://ej.iop.org/images/2399-6528/4/9/095018/jpcoabb752ieqn1.gif] of the resetting rate . Moreover, the mean time to absorption can be expanded as a power series of the amplitude of the disorder, around the value ##IMG## [http://ej.iop.org/images/2399-6528/4/9/095018/jpcoabb752ieqn2.gif] of the resetting rate. We obta...

中文翻译：

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定向聚合物拉金模型中最佳重置速率对无序性的敏感性

我们考虑了具有高斯分布随机力的定向聚合物的拉金模型，并添加了一个重置​​过程，该过程以恒定速率r将聚合物端点的横向位置重置为零。我们在横向位置的固定值上表示平均平均无序吸收目标的吸收时间。由于随机力分布的独立性，该表达式类似于重置状态下扩散粒子的平均吸收时间，该粒子在最佳值处具有一个最小值## IMG ## [http：// ej .iop.org / images / 2399-6528 / 4/9/095018 / jpcoabb752ieqn1.gif]。此外，可以将平均吸收时间扩展为无序幅度的幂级数，并围绕值## IMG ## [http：//ej.iop。org / images / 2399-6528 / 4/9/095018 / jpcoabb752ieqn2.gif]。我们ob ...