Adsorption of a random heteropolymer with random self-interactions onto an interface

Random heteropolymer dynamics.

We study the Langevin dynamics of the standard random heteropolymer model by mapping the problem to a supersymmetric field theory using the Martin-Siggia-Rose formalism. The resulting model is solved nonperturbatively employing a Gaussian variational approach. In constructing the solution, we assume that the chain is very long and impose the translational invariance which is expected to be pres...

Random heteropolymer adsorption on disordered multifunctional surfaces: Effect of specific intersegment interactions

Biopolymers adsorb on cell and virus surfaces with great specificity. Recently, theoretical and computational studies have inquired as to whether there are any universal design strategies that nature employs in order to affect such recognition. Specifically, the efficacy of multifunctionality and quenched disorder as essential design strategies has been explored. It has been found that when ran...

Polymers with Random Self - Interactions

Random fixed point theorems with an application to a random nonlinear integral equation

In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation in Banah spaces.

A Heteropolymer in a Medium with Random Droplets

1.1. Definition of the model. We start with the definition of the model. The dimension is denoted by d+1, d≥ 1. Then our model has three random ingredients: (1) a (d+ 1)-dimensional random medium, described by η; (2) a (d+1)-dimensional directed random walk, described by S; (3) a sequence of random variables ω, taking values ±1 describing the random monomers. So let us formally define all these...