The wandering exponent u for an isotropic polymer is predicted remarkably well by a simple argument due to Flory. By considering oriented polymers living in a oneparameter farniy of background tangent fields, we are able to relate the wandering exponent to the exponent in the background field through an e-expansion. We then choose the background field to have the same correlations as the indivi...

Biologically functional liquid-liquid phase separation of intrinsically disordered proteins (IDPs) is driven by interactions encoded by their amino acid sequences. Little is currently known about the molecular recognition mechanisms for distributing different IDP sequences into various cellular membraneless compartments. Pertinent physics was addressed recently by applying random-phase-approxim...

Molecular interactions of importance to cell biology are subject to sol-gel transitions: large clusters of weakly interacting multivalent molecules (gel phase) are produced at a critical concentration of monomers. Examples include cell-cell and cell-matrix adhesions, nucleoprotein bodies, and cell signaling platforms. We use the term pleomorphic ensembles (PEs) to describe these clusters, becau...

Abstract The description of gel swelling by Flory and Rehner using the original Flory–Huggins interaction parameter for polymer–solvent cannot be applied to most smart microgels. Here, we compare descriptions curves such microgels series expansions $$\chi$$ ? with results Hill-like equation . We study N -isop...

The Marcus-Lushnikov process is a finite stochastic particle system in which each particle is entirely characterized by its mass. Each pair of particles with masses x and y merges into a single particle at a given rate K(x, y). We consider a strongly gelling kernel behaving as K(x, y) = xαy+ xyα for some α ∈ (0, 1]. In such a case, it is well-known that gelation occurs, that is, giant particles...

The equilibrium structure and dynamics of a single polymer chain in a thermal solvent is by now well-understood in terms of scaling laws. Here, we consider a polymer in a bacterial bath, i.e., in a solvent consisting of active particles which bring in nonequilibrium fluctuations. Using computer simulations of a self-avoiding polymer chain in two dimensions which is exposed to a dilute bath of a...

Applications of bacterial endophytes and their advanced identification methodologiesR. Renugadevi, M. P. Ayyappadas, V. Subha Priya, Flory Shobana, K. Vivekanandhan