Interaction between kinks and antikinks with double long-range tails

On Long Range Percolation With Heavy Tails

Consider independent long range percolation on Z2, where horizontal and vertical edges of length n are open with probability pn. We show that if lim supn→∞ pn > 0, then there exists an integer N such that PN (0 ↔ ∞) > 0, where PN is the truncated measure obtained by taking pN,n = pn for n ≤ N and pN,n = 0 for all n > N .

Long-range interaction between polar Rydberg atoms

The most attractive and the most repulsive potential-energy curves for interaction between two Rydberg atoms in a broad superposition of internal angular momentum states are studied. The extreme Stark states have the largest dipole moments and provide the dominant contribution to the interaction which is then expressed as a long-range expansion involving the permanent multipole moments Qj of ea...

Long-range interaction between heterogeneously charged membranes.

Despite their neutrality, surfaces or membranes with equal amounts of positive and negative charge can exhibit long-range electrostatic interactions if the surface charge is heterogeneous; this can happen when the surface charges form finite-size domain structures. These domains can be formed in lipid membranes where the balance of the different ranges of strong but short-ranged hydrophobic int...

Long range magnetic interaction between Josephson junctions.

Long-range interaction between adatoms in graphene.

We present a theory of electron-mediated interaction between adatoms in graphene. In the case of resonant scattering, relevant for hydrogenated graphene, a long-range 1/r interaction is found. This interaction can be viewed as a fermionic analog of the Casimir interaction, in which massless fermions play the role of photons. The interaction is an attraction or a repulsion depending on whether t...