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<p>A giant (by six to eight orders of magnitude) increase in the van der Waals force between pure metal plates when the temperature drops from 100 to 1 K A was predicted in [G. V. Dedkov, JETP Lett. <b>114</b>, 779 (2021)]. The calculation is based on the local Drude model, the applicability of which is limited by the condition <i>l</i> <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( \ll \)</EquationSource> <!--JETPLet2560968Rekhviashvili-m1--> </InlineEquation> <i>d</i>, where <i>l</i> is the mean free path of electrons and <i>d</i> is the distance between the bodies. In ultrapure metals at low temperatures, the anomalous skin effect (<i>l</i> <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\( \gg \)</EquationSource> <!--JETPLet2560968Rekhviashvili-m2--> </InlineEquation> <i>d</i>) occurs and the local model loses its physical validity. It has been shown the nonlocal response strongly suppresses the contribution of <i>S</i>-polarized evanescent modes. As a result, the predicted increase in the force is absent at <i>l</i> <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\( \gg \)</EquationSource> <!--JETPLet2560968Rekhviashvili-m3--> </InlineEquation> <i>d</i>. The limits of the applicability of the local and nonlocal approaches are established, which is important for the correct description of fluctuation friction in pure metals.</p>

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Suppression of the Low-Temperature Increase in the Van Der Waals Force by the Anomalous Skin Effect

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • S. Sh. Rekhviashvili

摘要

A giant (by six to eight orders of magnitude) increase in the van der Waals force between pure metal plates when the temperature drops from 100 to 1 K A was predicted in [G. V. Dedkov, JETP Lett. 114, 779 (2021)]. The calculation is based on the local Drude model, the applicability of which is limited by the condition l \( \ll \) d, where l is the mean free path of electrons and d is the distance between the bodies. In ultrapure metals at low temperatures, the anomalous skin effect (l \( \gg \) d) occurs and the local model loses its physical validity. It has been shown the nonlocal response strongly suppresses the contribution of S-polarized evanescent modes. As a result, the predicted increase in the force is absent at l \( \gg \) d. The limits of the applicability of the local and nonlocal approaches are established, which is important for the correct description of fluctuation friction in pure metals.