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In this paper an approach to generate hidden attractors based on piecewise linear (PWL) systems is studied. The approach consists of the coexistence of self-excited attrators and hidden attractors, i.e., the equilibria of the system are…

Dynamical Systems · Mathematics 2019-08-13 R. J. Escalante-González , E. Campos-Cantón

For like charged colloidal particles two mechanisms of attraction between them survive when the interparticle distance is larger than the Debye screening length. One of them is the conventional van der Waals attraction and the second one is…

Soft Condensed Matter · Physics 2009-08-25 T. Ocampo-Delgado , B. Ivlev

The behavior of mobile linkers connecting two semi-flexible charged polymers, such as polyvalent counterions connecting DNA or F-actin chains, is studied theoretically. The chain bending rigidity induces an effective repulsion between…

Soft Condensed Matter · Physics 2009-11-07 I. Borukhov , R. F. Bruinsma , W. M. Gelbart , A. J. Liu

Screening of a strongly charged macroion by oppositely charged colloidal particles, micelles, or short polyelectrolytes is considered. Due to strong lateral repulsion such multivalent counterions form a strongly correlated liquid at the…

Soft Condensed Matter · Physics 2009-10-31 T. T. Nguyen , A. Yu. Grosberg , B. I. Shklovskii

Molecular dynamics simulations are used to study the local dynamics of counterion-charged polymer association at charge densities above and below the counterion condensation threshold. Surprisingly, the counterions form weakly-interacting…

Soft Condensed Matter · Physics 2009-11-13 Tak Shing Lo , Boris Khusid , Joel Koplik

We present results of molecular dynamics simulations of strong, flexible polyelectrolyte chains in solution with added salt. The effect of added salt on the polyelectrolyte chain structure is fully treated for the first time as a function…

Soft Condensed Matter · Physics 2008-02-03 Mark J. Stevens , Steve Plimpton

The classic image problem in electromagnetism involves a grounded infinite conducting plane and a point charge. The force of attraction between the point charge and the plane is identified using an equivalent-field picture of an image…

Classical Physics · Physics 2015-05-18 Kevin L. Haglin

Polyelectrolyte complexation plays an important role in materials science and biology. The internal structure of the resultant polyelectrolyte complex (PEC) phase dictates properties such as physical state, response to external stimuli, and…

A new quantitative theory for polyelectrolytes in salt free dilute solutions is developed. Depending on the electrostatic interaction strength, polyelectrolytes in solutions can undergo strong stretching (with polyelectrolyte dimension…

Soft Condensed Matter · Physics 2009-10-31 N. V. Brilliantov , D. V. Kuznetsov , R. Klein

The BCS theory has been extended by us to the strong-coupling regime where carriers are small lattice polarons and bipolarons. Here I review the multi-polaron strong-coupling theory of superconductivity. Attractive electron correlations,…

Superconductivity · Physics 2008-05-23 A. S. Alexandrov

Charged systems with partially annealed charge disorder are investigated using field-theoretic and replica methods. Charge disorder is assumed to be confined to macroion surfaces surrounded by a cloud of mobile neutralizing counterions in…

Soft Condensed Matter · Physics 2009-05-24 Yevgeni Sh. Mamasakhlisov , Ali Naji , Rudolf Podgornik

We studied polyelectrolyte adsorption on a repulsive charged surface by scaling analysis. At low ionic strength and low surface charge density in which a single polyelectrolyte is able to be adsorbed onto the surface, different regimes in…

Soft Condensed Matter · Physics 2016-08-31 Chi-Ho Cheng , Pik-Yin Lai

We compare the recent experimentally measured forces between charged colloidal particles, as well as their effective surface potentials (surface charge) in the presence of multivalent counterions in a bathing monovalent salt solution, with…

Soft Condensed Matter · Physics 2017-05-24 Matej Kanduč , Mohsen Moazzami Gudarzi , Valentina Valmacco , Rudolf Podgornik , Gregor Trefalt

We analyze the interaction of two conducting, charged polymer chains in solution using a minimal model for their electronic degrees of freedom. We show that a crossing of the two chains in which the polymers pass within Angstroms of each…

Soft Condensed Matter · Physics 2009-11-10 Jeremy D. Schmit , Alex J. Levine

A simple lattice model of a solid electrolyte presented as a xy-slab geometry system of mobile cations on a background of energetic landscape of the host system and a compensating field of uniformly distributed anions is studied. The system…

Statistical Mechanics · Physics 2019-03-14 T. Patsahan , G. Bokun , D. di Caprio , M. Holovko , V. Vikhrenko

By molecular dynamics simulation, we study the charge inversion phenomenon of a rod macroion in the presence of polyelectrolyte counterions. We simulate electrophoresis of the macroion under an applied electric field. When both counterions…

Soft Condensed Matter · Physics 2015-06-24 Motohiko Tanaka

It is known that a large, charged body immersed in a solution of multivalent counterions may undergo charge inversion as the counterions adsorb to its surface. We use the theory of charge inversion to examine the case of a deformable,…

Soft Condensed Matter · Physics 2009-09-29 Brian Skinner , B. I. Shklovskii

Recently a concept of self-excited and hidden attractors was suggested: an attractor is called a self-excited attractor if its basin of attraction overlaps with neighborhood of an equilibrium, otherwise it is called a hidden attractor. For…

Chaotic Dynamics · Physics 2016-03-04 N. V. Kuznetsov

Applying an electric field to an aqueous colloidal dispersion establishes a complex interplay of forces among the highly mobile simple ions, the more highly charged but less mobile colloidal spheres, and the surrounding water. This…

Soft Condensed Matter · Physics 2007-05-23 Yilong Han , David G. Grier

We show that the first non-linear correction to the linearised Poisson-Boltzman n (or DLVO) theory of effective pair interactions between charge-stabilised, co lloidal particles near a charged wall leads to an attractive component of entro…

Soft Condensed Matter · Physics 2009-10-31 David Goulding , Jean-Pierre Hansen