Natural source compatibilizers for olive waste/recycled polypropylene matrix composites

A simple, environmentally friendly process was developed for surface hydrophobization of cellulose-rich waste to improve their compatibility with recycled polypropylene (rPP), helping reduce costs while recycling environmentally problematic waste such as solid olive waste (also called olive pomace). In this study, an improvement of the interfacial bonding strength between the hydrophilic waste particles and the hydrophobic matrix was achieved by surface hydrophobization of the waste using a ring-opening polymerization reaction of epoxidized soy-bean oil (ESBO) with SnCl₂ as a catalyst. The treatment on cellulose based filter paper led to a contact angle of 128°. The composite containing treated olive pomace has shown an increase in the elongation of 92% and an increase in the stress at yield of 15%, indicating improved compatibility.     

The writhe of permutations and random framed knots

We introduce and study the writhe of a permutation, a circular variant of the well‐known inversion number. This simple permutation statistics has several interpretations, which lead to some interesting properties. For a permutation sampled uniformly at random, we study the asymptotics of the writhe, and obtain a non‐Gaussian limit distribution. This work is motivated by the study of random knots. A model for random framed knots is described, which refines the Petaluma model, studied with Hass, Linial, and Nowik (Discrete Comput Geom, 2016). The distribution of the framing in this model is equivalent to the writhe of random permutations. © 2016 Wiley Periodicals, Inc. Random Struct. Alg., 51, 121–142, 2017     

The surface measure and cone measure on the sphere of

We prove a concentration inequality for the norm on the sphere for . This inequality, which generalizes results of Schechtman and Zinn (2000), is used to study the distance between the cone measure and surface measure on the sphere of . In particular, we obtain a significant strengthening of the inequality derived by Naor and Romik (2003), and calculate the precise dependence of the constants that appeared there on .

     

Effect of cation size and charge on the interaction between silica surfaces in 1:1, 2:1, and 3:1 aqueous electrolytes

Application of two complementary AFM measurements, force vs separation and adhesion force, reveals the combined effects of cation size and charge (valency) on the interaction between silica surfaces in three 1:1, three 2:1, and three 3:1 metal chloride aqueous solutions of different concentrations. The interaction between the silica surfaces in 1:1 and 2:1 salt solutions is fully accounted for by ion-independent van der Waals (vdW) attraction and electric double-layer repulsion modified by cation specific adsorption to the silica surfaces. The deduced ranking of mono- and divalent cation adsorption capacity (adsorbability) to silica, Mg(2+) < Ca(2+) < Na(+) < Sr(2+) < K(+) < Cs(+), follows cation bare size as well as cation solvation energy but does not correlate with hydrated ionic radius or with volume or surface ionic charge density. In the presence of 3:1 salts, the coarse phenomenology of the force between the silica surfaces as a function of salt concentration resembles that in 1:1 and 2:1 electrolytes. Nevertheless, two fundamental differences should be noticed. First, the attraction between the silica surfaces is too large to be attributed solely to vdW force, hence implying an additional attraction mechanism or gross modification of the conventional vdW attraction. Second, neutralization of the silica surfaces occurs at trivalent cation concentrations that are 3 orders of magnitude smaller than those characterizing surface neutralization by mono- and divalent cations. Consequently, when trivalent cations are added to our cation adsorbability series the correlation with bare ion size breaks down abruptly. The strong adsorbability of trivalent cations to silica contrasts straightforward expectations based on ranking of the cationic solvation energies, thus suggesting a different adsorption mechanism which is inoperative or weak for mono- and divalent cations.     

Magnetic resonance lineshape in the presence of slow motion

The effect on the magnetic resonance lineshape of slow molecular motion is considered. The molecules are assumed to undergo diffusive jumps of angle ε described by the distribution function W(ε)=(N/τ) exp (λ cos ε), where τ is the mean lifetime between jumps and λ a parameter describing the width of the distribution. As λ is varied from zero to infinity this distribution describes diffusion models that change continuously from the strong collision limit to Brownian rotational diffusion. Magnetic resonance lineshapes are calculated by Freed's method using the asymptotic expansion technique, and results are presented for an axially symmetric (secular) Zeeman hamiltonian.

An exact expression for the magnetic resonance lineshape is derived in the strong collision limit for any secular hamiltonian and a few examples are presented. It is also shown how this technique can be used as a basis for lineshape calculations in the presence of moderately large jumps.     

Discretization and affine approximation in high dimensions

Lower estimates are obtained for the macroscopic scale of affine approximability of vector-valued Lipschitz functions on finite-dimensional normed spaces, completing the work of Bates, Johnson, Lindenstrauss, Preiss and Schechtman. This yields a new approach to Bourgain’s discretization theorem for superreflexive targets.     

Avoider–Enforcer games played on edge disjoint hypergraphs

We analyze Avoider–Enforcer games played on edge disjoint hypergraphs, providing an analog of the classic and well known game Box, due to Chvátal and Erd?s. We consider both strict and monotone versions of Avoider–Enforcer games, and for each version we give a sufficient condition to win for each player. We also present applications of our results to several general Avoider–Enforcer games.     

<Emphasis Type="BoldItalic">LAMA/CA</Emphasis>: A Load-Adaptive MAC Protocol for Short Packets

An efficient Media Access Control (MAC) protocol for wireless Internet access is developed in this study. The proposed access protocol exploits the fact that very often the Internet access messages, such as HTTP download requests, are based on short packets. In addition, whenever the user is able to access to multiple overlapping base stations (e.g., in WiMAX access networks, or in 3GPP cellular networks), the proposed protocol enables the user to select the least loaded base station. Consequently, the user gets a better quality of service, while load balancing is achieved by preferring links that are less loaded over congested links. The key idea is to adjust the access probability to the load on the local link, and to use a different access protocol for short messages. Delay insensitive and long messages are transmitted using a Request To Send (RTS) and Clear To Send (CTS) mechanism, in a similar way to IEEE 802.11, over hops that are able to support this protocol type, while short and delay-sensitive messages are transmitted using another method, that offers a reduced call delivery delay, as well as better channel utilization. Whenever the message length drops below a certain threshold (evaluated in this study), the overhead of transmitting an RTS and CTS messages becomes too large. The analysis in this study shows that this threshold is load-dependent. Whenever the message length drops below this load-dependent threshold, this study proposes to use a protocol which is more efficient for short messages transmissions, such as HTTP download requests, Short Message Service (SMS) messages, and signaling messages. The proposed MAC protocol is especially suitable for 3G and beyond cellular networks. Whenever there are number of channels that can be possibly used to deliver a message, it enables to select the least loaded channel among several channels.     

Multichannel selective femtosecond coherent control based on symmetry properties

We present and implement a new scheme for extended multichannel selective femtosecond coherent control based on symmetry properties of the excitation channels. Here, an atomic nonresonant two-photon absorption channel is coherently incorporated in a resonance-mediated (2+1) three-photon absorption channel. By proper pulse shaping, utilizing the invariance of the two-photon absorption to specific phase transformations of the pulse, the three-photon absorption is tuned independently over an order-of-magnitude yield range for any possible two-photon absorption yield. Noticeable is a set of "two-photon dark pulses" inducing widely tunable three-photon absorption.     

Negotiating Norms of Discussion in the Public Arena: The Use of Irony in Israeli Political Radio Phone‐In Programs

Phone‐in radio programs are part of the public sphere and thus require open access, rationality, and practicality. Simultaneously, they are a media product, which requires entertaining content. We demonstrate these demands through the analysis of interactional irony in Israeli political radio phone‐ins. From an emic perspective, callers see irony as detrimental to the discussions, yet hosts and regular callers use it to make entertaining interactions. Irony is a critical tool that points to violations of norms: the norm of a clear 2‐sided interaction; norms akin to the Habermasian public sphere; and at the content level, irony is used to reject racist positions. Being indirect, irony can be used to create an entertaining yet critical discussion in the public sphere.