Mixing Enthalpy for Binary Mixtures Containing Ionic Liquids

A complete review of the published data on the mixing enthalpies of mixtures containing ionic liquids, measured directly using calorimetric techniques, is presented in this paper. The field of ionic liquids is very active and a number of research groups in the world are dealing with different applications of these fluids in the fields of chemistry, chemical engineering, energy, gas storage and separation or materials science. In all these fields, the knowledge of the energetics of mixing is capital both to understand the interactions between these fluids and the different substrates and also to establish the energy and environmental cost of possible applications. Due to the relative novelty of the field, the published data is sometimes controversial and recent reviews are fragmentary and do not represent a set of reliable data. This fact can be attributed to different reasons: (i) difficulties in controlling the purity and stability of the ionic liquid samples; (ii) availability of accurate experimental techniques, appropriate for the measurement of viscous, charged, complex fluids; and (iii) choice of an appropriate clear thermodynamic formalism to be used by an interdisciplinary scientific community. In this paper, we address all these points and propose a critical review of the published data, advise on the most appropriate apparatus and experimental procedure to measure this type of physical-chemical data in ionic liquids as well as the way to treat the information obtained by an appropriate thermodynamic formalism.

Collectively coping with contact: The role of intragroup support in dealing with the challenges of intergroup mixing in residential contexts

The social identity approach to stress has shown how intragroup support processes shape individuals' responses to stress across health care, workplace, and community settings. However, the issue of how these 'social cure' processes can help cope with the stress of intergroup contact has yet to be explored. This is particularly important given the pivotal role of intergroup threat and anxiety in the experience of contact as well as the effect of contact on extending the boundaries of group inclusion. This study applies this perspective to a real-life instance of residential contact in a divided society. Semi-structured interviews with 14 Catholic and 13 Protestant new residents of increasingly mixed areas of Belfast city, Northern Ireland, were thematically analysed. Results highlight that transitioning to mixed communities was fraught with intergroup anxiety, especially for those coming from 'single identity' areas. Help from existing residents, especially when offered by members of other religious denominations, signalled a 'mixed community ethos' to new residents, which facilitated adopting and sharing this identity. This shared identity then enabled them to deal with unexpected intergroup threats and provided resilience to future sectarian division. New residents who did not adopt this shared identity remained isolated, fearful, and prone to negative contact.

Existence of disjoint weakly mixing operators that fail to satisfy the Disjoint Hypercyclicity Criterion

Recently, Bès, Martin, and Sanders [11] provided examples of disjoint hypercyclic operators which fail to satisfy the Disjoint Hypercyclicity Criterion. However, their operators also fail to be disjoint weakly mixing. We show that every separable, infinite dimensional Banach space admits operators T1,T2,…,TN with N⩾2 which are disjoint weakly mixing, and still fail to satisfy the Disjoint Hypercyclicity Criterion, answering a question posed in [11]. Moreover, we provide examples of disjoint hypercyclic operators T1, T2 whose corresponding set of disjoint hypercyclic vectors is nowhere dense, answering another question posed in [11]. In fact, we explicitly describe their set of disjoint hypercyclic vectors. Those same disjoint hypercyclic operators fail to be disjoint topologically transitive. Lastly, we create examples of two families of d-hypercyclic operators which fail to have any d-hypercyclic vectors in common.