Rate equation and scaling for fragmentation with mass loss

Exact and asymptotic scaling solutions for fragmentation with mass loss.

Meson B fragmentation function with consideration of mass corrections

Study of B meson (meson with the bottom quark flavor) in Large Hadron Collider (LHC) is of special importance so that the detector LHCb is devoted to investigate these types of mesons. For this reason, in this paper we will study the production process of this meson in a phenomenological approach using the experimental data from electron-positron annihilation. In this regards, we shall calculat...

Estimating the division rate for the growth-fragmentation equation.

Growth-fragmentation equations arise in many different contexts, ranging from cell division, protein polymerization, neurosciences etc. Direct observation of temporal dynamics being often difficult, it is of main interest to develop theoretical and numerical methods to recover reaction rates and parameters of the equation from indirect observation of the solution. Following the work done in Per...

Estimating the division rate and kernel in the fragmentation equation

We consider the fragmentation equation ∂f ∂t (t, x) = −B(x)f(t, x) + ∫ y=∞ y=x k(y, x)B(y)f(t, y)dy, and address the question of estimating the fragmentation parameters i.e. the division rate B(x) and the fragmentation kernel k(y, x) from measurements of the size distribution f(t, ·) at various times. This is a natural question for any application where the sizes of the particles are measured e...

∆-Scaling in Spectator Fragmentation

Universal scaling-laws of fluctuations (the ∆-scaling laws) have been derived for equilibrium systems, and shown to apply also in certain out-of-equilibrium situations. [1]. Recently looking for signals of a phase transition in multifragmentation reactions the model-independent theory of universal fluctuation has been used [2]. The ∆-scaling is observed when two or more probability distribution...