Summary
The study examines van der Waals interactions in linear chains with long-range correlated disorder. It demonstrates that the interaction energy strongly and non-monotonously depends on the disorder correlation length. Semianalytical expressions for the interaction energy are obtained.
Highlights
- Van der Waals interactions in linear chains with long-range correlated disorder are studied.
- The interaction energy strongly and non-monotonously depends on the disorder correlation length.
- Semianalytical expressions for the interaction energy are obtained.
- The study considers a toy model of N isotropic molecules periodically spaced.
- The disorder correlation length affects the interaction energy, with a peak around j0 ≈ 1.
- The study also analyzes the role of array inhomogeneity and the effects of retardation.
- The results indicate that the problem of van der Waals interactions is not trivial even in the simplest one-dimensional setting.
Key Insights
- The study highlights the importance of considering long-range correlated disorder in van der Waals interactions, as it significantly affects the interaction energy.
- The semianalytical expressions obtained provide a useful tool for understanding and predicting the behavior of van der Waals interactions in disordered systems.
- The toy model used in the study provides a simplified yet effective approach to analyzing the effects of disorder on van der Waals interactions.
- The study's findings have implications for the understanding of van der Waals interactions in various systems, including condensed matter physics and quantum optics.
- The non-monotonous dependence of the interaction energy on the disorder correlation length suggests a complex interplay between disorder and van der Waals interactions.
- The study's results demonstrate the need for further research into the effects of disorder on van der Waals interactions in various systems.
- The study provides a foundation for exploring the role of van der Waals interactions in more complex systems, including higher-dimensional disordered models and systems with retardation effects.
Mindmap
Citation
Mualem, Y., & Poddubny, A. N. (2024). Van der Waals interactions in linear chains with long-range correlated disorder (Version 2). arXiv. https://doi.org/10.48550/ARXIV.2409.08288