Charged Particles in Water: Why Like Attracts Like ✎ express

Original: "Interparticle Interactions in Nonlocal Media: Attraction and Repulsion from Charge-Polarization Coupling"
· Ali Behjatian, Madhavi Krishnan
arXiv:2605.09540 · 2026-05-10 · arXiv non-exclusive · independent analysis · 3 min
Like-charged particles in a liquid can attract, and oppositely charged ones can repel, all because of how solvent molecules arrange themselves at the surface.

Two grains of salt fall into a glass of water. They dissolve, and sodium and chloride ions spread throughout the volume. The schoolbook truth is simple: like charges repel, opposite charges attract. But recent experiments with tiny spheres in liquids have revealed a picture that breaks this rule. In solutions, like-charged particles can persistently attract each other, while oppositely charged ones resist coming together.

The secret lies in the liquid itself. Usually, it is pictured as a structureless medium with a constant dielectric permittivity, just a background that slightly weakens electric forces. But molecules of water, alcohol, or oil are not passive bystanders. Near any charged surface, they arrange themselves in a certain order, like spectators in the front row standing on tiptoes to get a better view of the stage. This phenomenon is called electrosolvation: the solvent does not merely wet the particle but creates an ordered coat of its own molecules around it.

The thickness of such a "coat" can be just a few angstroms — tens of thousands of times thinner than a human hair. Yet its influence extends over distances hundreds of times its own size.

The authors applied nonlocal dielectric theory, which accounts for the fact that polarization at one point in the liquid affects neighboring regions, like a wave traveling through a stadium crowd as each person stands up in response to the neighbor. In this picture, the interaction is determined not only by the charges themselves but also by how strongly the medium can transmit polarization. If two particles with the same charge are surrounded by similarly oriented water molecules, their "coats" can stick together like two pieces of Velcro, overcoming electric repulsion. Conversely, oppositely charged surfaces may end up in "coats" with opposite orientations, and then the molecular layer acts like a spring, preventing the particles from approaching.

This mechanism can explain long-standing puzzles: why biological molecules, such as proteins carrying the same charge, still clump together in an aqueous environment; or why in rivers and oceans, suspended silt particles stick together and settle to the bottom — a process previously attributed only to weak attractive forces between neutral atoms. Calculations show that even with a very modest polarization correlation length (just 2 angstroms), biomolecules with the same charge will attract in saltwater.

Interestingly, neutral particles in such a medium can gain mobility in an electric field, as if they had acquired a charge. This is similar to how an empty boat starts to drift when the wind blows not on it but on the water around it.

Thus, ordinary water ceases to be just a transparent filler. It turns out to be an active player whose molecular rearrangements govern the dance of charged particles. And what once seemed like a violation of the laws of physics becomes a natural consequence of the collective behavior of billions of tiny dipoles.

The ordering effect of water molecules at the surface is so strong that at the boundary with air, water creates an elastic film: it is this film that allows a water strider to glide across a pond without sinking.

In Kurt Vonnegut's novel Cat's Cradle, the fictional substance "ice-nine" caused all water to rearrange into a solid form upon contact — a fantastic example of how one molecular structure can dictate the behavior of an entire liquid.

Scientists
Emmy NoetherCharles-Augustin de CoulombWolfgang PauliEnrico FermiPaul DiracMichael Faraday
Concepts
molecular interaction polarity dielectric electrolyte surface tension electrolyte transport interface solvent interaction nonlocality friction attraction coulomb repulsion lubricant polar molecule hydrodynamics Coulomb's law electron correlation polarizability charge separation