The origin of cosmic rays and their anisotropy remains an open question despite decades of research. Standard models assume a steady-state picture and a uniform diffusion coefficient throughout the Galaxy, but anisotropy data in the 100–100000 GeV range do not fit these assumptions well. Alongside this work, the archive hosts studies linking anisotropy to magnetic fields and local sources, as well as models explaining the spectrum by the contribution of nearby supernovae. This work follows the search for local explanations but emphasizes non-stationarity and the special conditions of the Local Bubble.
A model is constructed in which the flux from a point-like instantaneous source (a supernova) is added to the isotropic background from other supernovae. A Green's function for diffusion is used with coefficient D(E)=D0·$E^0$.6, where D0 ~ $10^{25}$ cm²/s. The source parameters (age, distance, energy output) are tuned to simultaneously describe the anisotropy and proton spectrum data. The background is described by a three-component model consistent with ATIC-2 and other experiments.
A model with a source at 18.4 pc, age 30 thousand years, and energy output ~$10^{51}$ erg reproduces the rise in anisotropy with energy up to ~100 TeV. The proton spectrum naturally hardens at 200 GeV due to the local source contribution, and softens above 50 TeV because of the finite source age. An alternative scenario with parameters matching the supernova that produced the Geminga pulsar (age 342 thousand years, distance ~100 pc) yields similar results with an energy output of ~2·$10^{53}$ erg. The diffusion coefficient in the Local Bubble turns out to be three orders of magnitude smaller than the galactic average, which the authors attribute to the small confinement region and low medium density.
The work shows that local non-stationary sources can explain key features of the cosmic-ray spectrum and anisotropy without invoking exotic mechanisms. The difference from neighboring works is the explicit inclusion of the Local Bubble's special conditions (low density, small diffusion coefficient) and a consistent description of both the spectrum and anisotropy in a single model. This challenges the universality of global diffusion parameters and highlights the role of the Sun's immediate vicinity.
The topic could evolve toward accounting for multiple local sources, more detailed modeling of the Local Bubble and its evolution, and testing predictions for nuclear composition. Future data on secondary particles (antiprotons, positrons) may help refine the parameters of the local source and diffusion.
The results will affect the interpretation of direct measurements of nuclear spectra and models of cosmic-ray propagation in the Galaxy.
Test the model against new proton spectrum data (e.g., AMS-02, CALET) and anisotropy in the 10–100 TeV range; estimate the local source contribution to helium and heavier nuclei spectra.
The work directly addresses the problem of the origin of breaks in the cosmic-ray spectrum and the question of the diffusion coefficient in the local interstellar medium. It offers a concrete scenario that can be tested with independent observations (e.g., gamma-ray emission from the Local Bubble).
This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.
What the work does
The authors consider a model in which a recent supernova explosion within about a hundred parsecs adds a local flux to the isotropic galactic background. Using a Green's function for diffusion with a small coefficient in the Local Bubble, they reproduce the hardening of the proton spectrum at 200 GeV, the softening above 50 TeV, and the energy dependence of the anisotropy. Source parameters (age, distance, energy output) are fitted to match the data.
Where its strength is
The strength of the work lies in explicitly accounting for the special conditions of the Local Bubble (low density, small diffusion coefficient) and consistently describing both the spectrum and anisotropy with a single model. This challenges the universality of global diffusion parameters and highlights the role of the Sun's immediate vicinity.
Where it could go next
Worth trying
Why this may matter
If local non-stationary sources indeed determine the observed features, this would require revising standard assumptions about cosmic-ray diffusion in the Galaxy and could improve our understanding of the Sun's local neighborhood.
Nearby works in our archive
The closest work in the archive sits at 0.62 by meaning — the usual level for our corpus.
The Geminga pulsar may have been born in a supernova explosion just 60 parsecs away, and its shock wave could have shaped the Local Bubble, the cavity of hot gas we currently reside in.