Nonlinear dynamics of the interface of dielectric liquids in a strong electric field: Reduced equations of motion

The evolution of the interface between two ideal dielectric liquids in a strong vertical electric field is studied. It is found that a particular flow regime, for which the velocity potential and the electric field potential are linearly dependent functions, is possible if the ratio of the permittivities of liquids is inversely proportional to the ratio of their densities. The corresponding reduced equations for interface motion are derived. In the limit of small density ratio, these equations coincide with the well-known equations describing the Laplacian growth.Comment: 10 page

Parametric Forcing of Waves with Non-Monotonic Dispersion Relation: Domain Structures in Ferrofluids?

Surface waves on ferrofluids exposed to a dc-magnetic field exhibit a non-monotonic dispersion relation. The effect of a parametric driving on such waves is studied within suitable coupled Ginzburg-Landau equations. Due to the non-monotonicity the neutral curve for the excitation of standing waves can have up to three minima. The stability of the waves with respect to long-wave perturbations is determined $via$ a phase-diffusion equation. It shows that the band of stable wave numbers can split up into two or three sub-bands. The resulting competition between the wave numbers corresponding to the respective sub-bands leads quite naturally to patterns consisting of multiple domains of standing waves which differ in their wave number. The coarsening dynamics of such domain structures is addressed.Comment: 23 pages, 6 postscript figures, composed using RevTeX. Submitted to PR

The Good, the Bad and the Ugly: A Study of the Organization through the Lens of Popular Films of the Western World

This chapter examined portrayals of the morality of organizations using the lens of Western films. The work explored six decades of film, analyzing the organizational contexts and their agents, in order to understand filmmakers’ and audiences’ perceptions of organizational settings. In order to examine the organization as an entity within film, this chapter provided a content analysis of plot summaries from a purposefully selected body of top grossing box office films spanning 60 years. The plot summaries constituted a strong basis for identifying the characteristics of the organization as they are largely descriptive in nature and as such do not offer any evaluation or analysis of the film. Any assumptions about the character of organizations (or their members/employees) are unconscious, and as such they constitute a verbal description of what competent observers would say has occurred within the film. The plots were coded to reveal perceptions of positive, neutral, or negative organizational contexts and actions. This approach exposed the filmmakers symbolic placing of the organization in order to provide backdrops for the narrative. The plot analysis revealed that throughout the decades there has been a sophisticated portrayal in film of the role of the organization and the agents therein. A generally negative view of organizational contexts was demonstrated, with only religion and education shown as positive within the films selected. It was recognized that there would be value in extending this research to analyze a larger body of works. The selection criteria resulted in a wide but not comprehensive corpus of film genres. The body of works was sufficient to reveal the complexity of attitudes to organizational values and delivery which has evolved through time. Different selection criteria and more substantial narrative text could serve to confirm these results. Further implications for future research were discussed. While in the real-life sphere, there has been an emphasis on organizational standards and “corporate governance” delivering ethical exemplars, the film contexts highlight the complexities of delivering trusted organizations. The reality that there remains the potential for organizational corruption is well understood by the general public and clearly depicted within the film world. The conceptual contribution is original as limited work has been conducted on the organizational context in films. This work revealed the possibility of using this approach to further develop a greater understanding of perceptions of organizations