Multiband Emission from Pulsar Wind Nebulae: A Possible Injection Spectrum

A recent research shows that particles with a spectrum of a relativistic Maxwellian plus a high-energy tail can be accelerated by relativistic collisionless shocks. We investigate the possibility of the high-energy particles with this new spectrum injected in pulsar wind nebulae (PWNe) from the terminate shock based on the study of multiwavelength emission from PWNe.} {The dynamics of a supernova remnant (SNR) and multiband nonthermal emission from the PWN inside the remnant are investigated using a dynamical model with electrons/positrons injected with the new spectrum. In this model, the dynamical and radiative evolution of a pulsar wind nebula in a non-radiative supernova remnant can be self-consistently described.} {This model is applied to the three composite SNRs, G0.9+0.1, MSH 15-52, G338.3-0.0, and the multiband observed emission from the three PWNe can be well reproduced.} {Our studies on the three remnant provide evidence for the new spectrum of the particles, which are accelerated by the terminate shock, injected into a PWN.Comment: 9 pages, 9 figures, accepted by A&

Stochastic differential equations with non-lipschitz coefficients: I. Pathwise uniqueness and large deviation

We study a class of stochastic differential equations with non-Lipschitzian coefficients.A unique strong solution is obtained and a large deviation principle of Freidln-Wentzell type has been established.Comment: A short version will be published in C. R. Acad. Pari