We propose an analytical approach based on the Frenet–Serret (FL) frame field, where an FL frame and the corresponding curvature and torsion are defined at each point along magnetic field lines, to investigate the evolution of magnetic tubes and their interaction with vortex tubes in magnetohydrodynamics. Within this framework, simplified expressions for the Lorentz force, its curl, the dynamics of flux tubes and helicity are derived. We further perform direct numerical simulations on the linkage between the magnetic and vortex tubes and investigate the effect of the initial angle $\theta$, ranging from $0^{\,\circ}$ to $45^{\,\circ}$, on their evolution. Our results show that magnetic tubes with non-zero curvature generate Lorentz forces, which in turn produce dipole vortices. These dipole vortices lead to the splitting of the magnetic tubes into smaller structures, releasing magnetic energy. Both magnetic and vortex tubes exhibit quasi-Lagrangian behaviour, maintaining similar shapes during initial evolution and consistent relative positions over time. A vortex tube with strength comparable to that of the magnetic tube, where the kinetic energy induced by the vortex tube is of the same order as the magnetic energy in the magnetic tube, can inhibit magnetic tube splitting by disrupting the formation of vortex dipoles. Additionally, minor variations in the angular configuration of the vortex tubes significantly influence their interaction with the magnetic field and the evolution of large-scale flow structures.

Mark Goldie is a towering figure in the historiography of early modern England, with a wide body of work concerning the origins and formations of political and religious institutions, including nascent party groups. His essays and edited collections inform most other accounts of the period, and his cohort of influential supervisees is legion within academia.

A former academic director and instructor in the Clemente Course in Humanities outlines the arc of this National Humanities Medal-winning program, and the arc of a career with it, discussing key elements involving academic and curricular matters, community partnerships, event planning, faculty and student recruitment, fiscal support, and public engagement extending across various institutions and organizations. Reflections on the value of adult education programs in the context of humanistic inquiry occasion further accounts and assertions about the nature of the public humanities, engaging publics not conceived in the abstract, in general, or for research purposes, but as they are configured and manifested among one’s fellow citizens, at particular times and in particular places.

The discipline of public health has begun to recognize the structural inequities of the carceral system as drivers of poor individual and population health. The number of people incarcerated and the length of their incarceration determine the scope and gravity of their exposure to these individual and public health effects. Plea bargains all but guarantee a period of incarceration, often for many years, because prosecutors have significant bargaining power against defendants who often do not fully understand their rights or the likelihood of receiving the sentences that prosecutors would be seeking in trial. I propose and analyze several pathways through which to eliminate or severely restrict the practice of plea bargaining to minimize the health effects associated with incarceration. I conclude that state legislation would be most feasible and effective at eliminating plea bargains but, without concurrent interventions addressing mandatory minima and/or bail, would not fundamentally address the primary concerns of sentence length and overcrowding.

In the second half of the twentieth century, the British printing industry seemed to epitomise the United Kingdom’s status as the sick man of Europe, worn down by changing patterns of consumption, lagging technological modernisation and all-powerful trade unions. Especially the latter were more often than not seen as the problem, not the solution to the industry’s problems. An extravagant set of so-called restrictive practices, critics alleged, was used to hide that print workers were not putting in the work they were paid for while giving them undeserved bonuses that were choking corporate profitability. Print workers and their representatives offered a very different reading, in which the incriminated practices reflected a thoroughly earned privilege to define and distribute waged work. By looking at shop floor practices and conflicts, the article argues that print workers’ defence of non-working intervals articulated a broader vision of their own place in capitalist production.

Researchers involved in research misconduct proceedings are increasingly threatening or bringing legal defamation claims against the institutions, complainants, and publications involved in the proceedings. Although defamation claims do not often succeed, they can nevertheless be costly and lengthy. This article analyzes certain defamation cases in the research misconduct space and provides advice for institutions and other involved parties seeking to minimize potential defamation liability associated with research misconduct proceedings.