73 citations · 721 across the 73 of their papers we have counts for
11 papers · 1 filter
Stretching of a fractal polymer around a disc reveals KPZ-like statistics
Kirill E. Polovnikov, Sergei K. Nechaev, Alexander Y. Grosberg
While stretching of a polymer along a flat surface is hardly different from the classical Pincus problem of pulling chain ends in free space, the role of curved geometry in conform…
Fractional Brownian motion meets topology: statistical and topological properties of globular macromolecules with volume interactions
A. M. Astakhov, V. A. Avetisov, S. K. Nechaev +1
In the paper we investigate statistical and topological properties of fractional Brownian polymer chains, equipped with the short-range volume interactions. The attention is paid t…
Statistical Properties of a Polymer Globule Formed during Collapse with the Irreversible Coalescence of Units
A. M. Astakhov, S. K. Nechaev, K. E. Polovnikov
Collapse of the polymer chain upon the sharp decrease of solvent quality is studied. During collapse, any pair of polymer units appearing in a sufficiently close vicinity in space…
Non-Euclidean geometry in nature
Sergei Nechaev
I describe the manifestation of the non-Euclidean geometry in the behavior of collective observables of some complex physical systems. Specifically, I consider the formation of equ…
From geometric optics to plants: eikonal equation for buckling
Sergei Nechaev, Kirill Polovnikov
Optimal embedding in the three-dimensional space of exponentially growing squeezed surfaces, like plants leaves, or 2D colonies of exponentially reproducing cells, is considered in…
Buckling and wrinkling from geometric and energetic viewpoints
Sergei Nechaev, Kirill Polovnikov
We discuss shape profiles emerging in inhomogeneous growth of squeezed tissues. Two approaches are used simultaneously: i) conformal embedding of two-dimensional domain with hyperb…
Effects of topological constraints on globular polymers
Maxim Imakaev, Konstantin Tchourine, Sergei Nechaev +1
Topological constraints can affect both equilibrium and dynamic properties of polymer systems, and can play a role in the organization of chromosomes. Despite many theoretical stud…
Planar diagrams from optimization
S. K. Nechaev, A. N. Sobolevski, O. V. Valba
We propose a new toy model of a heteropolymer chain capable of forming planar secondary structures typical for RNA molecules. In this model the sequential intervals between neighbo…
Necklace-Cloverleaf Transition in Associating RNA-like Diblock Copolymers
M. V. Tamm, S. K. Nechaev
We consider a diblock copolymer, whose links are capable of forming local reversible bonds with each other. We assume that the resulting structure of the bonds…
Application of a two-length scale field theory to the solvation of charged molecules: I. Hydrophobic effect revisited
G. Sitnikov, S. Nechaev, M. Taran +1
On a basis of a two-length scale description of hydrophobic interactions we develop a continuous self-consistent theory of solute-water interactions which allows to determine a hyd…
On the Plants Leaves Boundary, "Jupe à Godets" and Conformal Embeddings
Sergei Nechaev, Raphael Voituriez
The stable profile of the boundary of a plant's leaf fluctuating in the direction transversal to the leaf's surface is described in the framework of a model called a "surface à god…