We investigate the localization of stiff directed lines with bending energy by a short-range random potential. We apply perturbative arguments, Flory scaling arguments, a variational replica calculation, and functional renormalization to show that a stiff directed line in 1+d dimensions undergoes a localization transition with increasing disorder for d>2/3. We demonstrate that this transition i...

We define and study the universal norm distribution in this paper, which generalizes the well studied universal ordinary distribution by Kubert [4, 5]. We display a resolution of Anderson type for the universal norm distribution. Furthermore, we prove a general index formula between different universal norm distributions. As a special case, this general index formula recovers the hard calculati...

In 2010, Anderson, Craciun, and Kurtz showed that if a deterministically modeled reaction network is complex balanced, then the associated stochastic model admits a stationary distribution that is a product of Poissons [5]. That work spurred a number of followup analyses. In 2015, Anderson, Craciun, Gopalkrishnan, and Wiuf considered a particular scaling limit of the stationary distribution det...

Dynamic polymer materials have characteristic bond exchange behavior, which can be autonomous or in response to external stimuli. Bond dynamic enables numerous applications and enhancement of the material properties. Beyond precise chemistries, architectural features polymers also play a vital role governing Polymer chain characteristics, crosslink density distribution, shapes are key features....

Localization is a well-known wave phenomenon that significantly impedes transport, as uncovered by pioneering work of Anderson. The localization thermal phonons based on the phonon nature widely represented in disordered atomic systems. Compared with electron and photon localization, observations are much rarer, owning to broadband transport. In this Perspective, we summarize experimental theor...

The moisture sorption isotherm of pea starch films prepared with various glycerol contents as plasticizer was investigated at different storage relative humidities (11%-96% RH) and at 5 ± 1, 15 ± 1, 25 ± 1 and 40 ± 1 °C by using gravimetric method. The results showed that the equilibrium moisture content of all films increased substantially above aw = 0.6. Films plasticized with glycerol, under...