22 citations · 59 across the 12 of their papers we have counts for
6 papers · 1 filter
Unconventional critical behavior of polymers at sticky boundaries
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We discuss the generalization of a classical problem involving an -step ideal polymer adsorption at a sticky boundary (potential well of depth ). It is known that as appr…
Eigenvalue detachment, BBP transition and constrained Brownian motion
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We discuss the eigenvalue detachment transition in terms of scaling of fluctuations in ensembles of paths located near convex boundaries of various physical nature. We consider num…
Fixman problem revisited: When fluctuations of inflated ideal polymer loop are non-Gaussian?
Sergei Nechaev, Alexander Valov
We consider statistics of a planar ideal polymer loop of length in a large deviation regime, when a gyration radius, , is slightly less than the radius of a fully inflated…
Field-driven tracer diffusion through curved bottlenecks: Fine structure of first passage events
A. Valov, V. Avetisov, S. Nechaev +1
Using scaling arguments and extensive numerical simulations, we study dynamics of a tracer particle in a corrugated channel represented by a periodic sequence of broad chambers and…
Equilibrium mean-field-like statistical models with KPZ scaling
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We have considered three different "one-body" statistical systems involving Brownian excursions, which possess for fluctuations Kardar-Parisi-Zhang scaling with the critical expone…
Anomalous 1D fluctuations of a simple 2D random walk in a large deviation regime
Sergei Nechaev, Kirill Polovnikov, Senya Shlosman +2
The following question is the subject of our work: could a two-dimensional random path pushed by some constraints to an improbable "large deviation regime", possess extreme statist…