School of Physics and Electronic Engineering, Xinyang Normal University, Xinyang 464000, China.
Department of Physics, Shanghai Normal University, Shanghai 200234, China.
Phys Rev E. 2023 Jun;107(6-1):064402. doi: 10.1103/PhysRevE.107.064402.
In this work, the calculation of Casimir forces across thin DNA films is carried out based on the Lifshitz theory. The variations of Casimir forces due to the DNA thicknesses, volume fractions of containing water, covering media, and substrates are investigated. For a DNA film suspended in air or water, the Casimir force is attractive, and its magnitude increases with decreasing thickness of DNA films and the water volume fraction. For DNA films deposited on a dielectric (silica) substrate, the Casimir force is attractive for the air environment. However, the Casimir force shows unusual features in a water environment. Under specific conditions, switching sign of the Casimir force from attractive to repulsive can be achieved by increasing the DNA-film thickness. Finally, the Casimir force for DNA films deposited on a metallic substrate is investigated. The Casimir force is dominated by the repulsive interactions at a small DNA-film thickness for both the air and water environments. In a water environment, the Casimir force turns out to be attractive for a large DNA-film thickness, and a stable Casimir equilibrium can be found. The influences of electrolyte screening on the Casimir pressure of DNA films are also discussed at the end. In addition to the adhesion stability, our finding could be applicable to the problems of condensation and decondensation of DNA, due to fluctuation-induced dispersion forces.
在这项工作中,基于 Lifshitz 理论计算了薄 DNA 膜之间的 Casimir 力。研究了 Casimir 力因 DNA 厚度、含水电分数、覆盖介质和基底而产生的变化。对于悬浮在空气中或水中的 DNA 膜,Casimir 力是吸引力,其大小随 DNA 膜厚度和水体积分数的减小而增加。对于沉积在介电(硅)基底上的 DNA 膜,在空气环境中 Casimir 力是吸引力。然而,在水环境中,Casimir 力表现出异常的特征。在特定条件下,通过增加 DNA 膜厚度可以实现 Casimir 力从吸引力到排斥力的符号转换。最后,研究了沉积在金属基底上的 DNA 膜的 Casimir 力。Casimir 力在空气和水两种环境下,对于小的 DNA 膜厚度主要由排斥相互作用主导。在水环境中,对于大的 DNA 膜厚度 Casimir 力表现为吸引力,并且可以找到稳定的 Casimir 平衡。还讨论了电解质屏蔽对 DNA 膜 Casimir 压力的影响。除了粘附稳定性之外,由于波动引起的分散力,我们的发现可能适用于 DNA 的凝聚和去凝聚问题。