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Dipolic

Dipolic is a new term that means abstract substance built of spheres with finite size and in the middle of these spheres there are point (with linear size much less than the sphere radius) dipole moments. All physical properties of dipolic i.e. ground state, metastable states, inner motions and phase transitions are conditioned only by dipole-dipole interaction. The importance of the dipolic model is based upon its stability, numerous phases and the possibility of complete theoretical analyses. Besides dipolic serves as an excellent model of many real phenomena are determined by dipole interaction forces.

The introduction and definition of dipolic were made in the below preprint of 1991.

The start of this project is made by publication:
Belobrov P.I., Ermilov I.V., Tsikh A.K. Stable and ground state of dipolic // Preprint TRITA/MAT-91-0020 (June 1991), Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden, 1991, 25 p. Preprint

There are more details (in Russian) in the Habilitation Thesis: P.I. Belobrov. "Physical Models of Supramolecular Self-Organization" (1996).

New greate steps at "Hopfions in modern physics" are made after H. Hopf (1931) and are described in the site: http://www.hopfion.com/
But we seems in first wrote the analytical soliton for Hopf solution in 3D with Hopf charge one. See formula (76) in the preprint Dipolic1991.pdf

Novel application of dipolic are analized into the paper
Aranson I.S. Active colloids // Phys. Usp. 56 (1) (2013).
Find the paper here http://ufn.ru/ru/articles/2013/1/f/
with video abstract for article by Igor S. Aranson.

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