68 research outputs found
A Fresh Start for Stigmatized Groups: The Effect of Cultural Identity Mindset Framing in Brand Advertising
Get PDFThe idea that individuals can create a new beginning, known as the fresh start mindset, is deeply embedded in American culture. This mindset represents an accessible, shared construct that may be particularly relevant for changing attitudes toward two highly stigmatized groups: ex-offenders and drug addicts. While previous advertising literature has suggested that ambiguous or symbolic approaches may help improve consumer response, we show (using four studies) that cultural identity mindset framing (CIMF) can generate more positive affect toward the sponsoring brand and more positive attitudes toward the stigmatized group. Study 1 shows that explicitly referencing a highly stigmatized group leads to a less positive affective response toward the brand. Study 2 reveals that CIMF improves that response. Study 3 uses a real brand to replicate the positive affect toward the sponsoring brand. Study 4 documents a positive attitude shift toward the stigmatized group. Our research opens a new research corridor for explicitly referencing a stigmatized group, expands the stigmatized group discourse to two underrepresented groups, provides empirical evidence for the fresh start message frame, and answers a call to understand whether corporate social responsibility advertising is better than not advertising it at all.https://trace.tennessee.edu/utpurposeproject/1006/thumbnail.jp
Why a Single Pro-Environmental Appeal Works to Promote Behavioral Change On Social Media, One Tip versus Many Is More Effective for Nongreen Consumers
Get PDFSome brands, not-for-profit organizations, and social media influencers post tips to encourage prosocial behaviors. This is particularly prevalent in the context of environmental sustainability. Through a series of three studies, including a field experiment using a real brand to investigate click-through rates and cost per click, this research finds that a single green tip (versus many tips) enhances brand attitudes among consumers with low environmental concern. By contrast, the number of tips is less consequential for consumers with high environmental concern. Perceived brand authenticity is the mediating mechanism behind the effect. These findings hold across different product categories and different manipulations for the number of tips.https://trace.tennessee.edu/utpurposeproject/1004/thumbnail.jp
The Magnus expansion and some of its applications
Get PDFApproximate resolution of linear systems of differential equations with
varying coefficients is a recurrent problem shared by a number of scientific
and engineering areas, ranging from Quantum Mechanics to Control Theory. When
formulated in operator or matrix form, the Magnus expansion furnishes an
elegant setting to built up approximate exponential representations of the
solution of the system. It provides a power series expansion for the
corresponding exponent and is sometimes referred to as Time-Dependent
Exponential Perturbation Theory. Every Magnus approximant corresponds in
Perturbation Theory to a partial re-summation of infinite terms with the
important additional property of preserving at any order certain symmetries of
the exact solution. The goal of this review is threefold. First, to collect a
number of developments scattered through half a century of scientific
literature on Magnus expansion. They concern the methods for the generation of
terms in the expansion, estimates of the radius of convergence of the series,
generalizations and related non-perturbative expansions. Second, to provide a
bridge with its implementation as generator of especial purpose numerical
integration methods, a field of intense activity during the last decade. Third,
to illustrate with examples the kind of results one can expect from Magnus
expansion in comparison with those from both perturbative schemes and standard
numerical integrators. We buttress this issue with a revision of the wide range
of physical applications found by Magnus expansion in the literature.Comment: Report on the Magnus expansion for differential equations and its
applications to several physical problem
Non-perturbative electron dynamics in crossed fields
Full text linkIntense AC electric fields on semiconductor structures have been studied in
photon-assisted tunneling experiments with magnetic field applied either
parallel (B_par) or perpendicular (B_per) to the interfaces. We examine here
the electron dynamics in a double quantum well when intense AC electric fields
F, and tilted magnetic fields are applied simultaneously. The problem is
treated non-perturbatively by a time-dependent Hamiltonian in the effective
mass approximation, and using a Floquet-Fourier formalism. For B_par=0, the
quasi-energy spectra show two types of crossings: those related to different
Landau levels, and those associated to dynamic localization (DL), where the
electron is confined to one of the wells, despite the non-negligible tunneling
between wells. B_par couples parallel and in-plane motions producing
anti-crossings in the spectrum. However, since our approach is
non-perturbative, we are able to explore the entire frequency range. For high
frequencies, we reproduce the well known results of perfect DL given by zeroes
of a Bessel function. We find also that the system exhibits DL at the same
values of the field F, even as B_par non-zero, suggesting a hidden dynamical
symmetry in the system which we identify with different parity operations. The
return times for the electron at various values of field exhibit interesting
and complex behavior which is also studied in detail. We find that smaller
frequencies shifts the DL points to lower field F, and more importantly, yields
poorer localization by the field. We analyze the explicit time evolution of the
system, monitoring the elapsed time to return to a given well for each Landau
level, and find non-monotonic behavior for decreasing frequencies.Comment: REVTEX4 + 11 eps figs, submitted to Phys. Rev.
Birmingham News sleeve BN0051139
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