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Susceptibility to disorder of the optimal resetting rate in the Larkin model of directed polymers
Journal of Physics Communications ( IF 1.1 ) Pub Date : 2020-09-17 , DOI: 10.1088/2399-6528/abb752
Pascal Grange

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:

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 ...
更新日期:2020-09-18
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