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The X-ray spectral curvature of blazars is traditionally explained by anempirical log-parabola function characterized by three parameters, namely theflux, curvature and spectral index at a given energy. Since their exactrelationship with the underlying physical quantities is unclear, interpretingthe physical scenario of the source through these parameters is difficult. Toattain an insight on the X-ray spectral shape, we perform a detailed study ofthe X-ray spectra of the blazar MKN 421, using an analytical model where theelectron diffusion from the particle acceleration site is energy-dependent. Theresultant synchrotron spectrum is again determined by three parameters, namely,the energy index of the escape time scale, the quantity connecting the electronenergy to the observed photon energy and the normalization. The X-rayobservations of MKN 421, during July 2012 - April 2013 by NuSTAR and Swift-XRTare investigated using this model and we find a significant correlation betweenmodel parameters and the observational quantities. Additionally, a stronganti-correlation is found between the fit parameters defining the spectralshape, which was not evident from earlier studies using empirical models. Thisindicates the flux variations in MKN 421 and possibly other blazars, may arisefrom a definite physical process that needs to be further investigated.

Influence of Energy-Dependent Particle Diffusion on the X-ray spectral curvature of MKN 421