Large deviations for a binary collision model: energy evaporation

<abstract><p>We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses energy.</p></abstract>

An improved RFID anti-collision algorithm

In the communication of RFID system, it is easy to cause collision during data exchange between the tag and the reader, thus tags may not be identified. On the basis of researching binary algorithm, bit positions of collision are locked through setting different statuses of the order during collision, and then samples of the locked positions are recorded to select the remaining collision positions during the paging process to the descending order. Compared with traditional binary collision algorithm, significant improvements have been made in analyzing the algorithm’s indexes like searching times, amount of communication and throughput, improving efficiency of the system.

Inelastic energy loss of Ar ions scattered Al2O3 surface under grazing incidence

In this paper presents the investigation of the surface Al2O3 by ion scattering spectroscopy. The trajectory of small angle scattered ions calculated by the method of binary collision approximation. It was found dependence of inelastic energy loss and trajectories of scattered ions. The value of inelastic energy loss scattered ions almost depend to the angle of incidence and the geometrical parameters of surface semichannels.

On the accuracy of the binary-collision algorithm in particle-in-cell simulations of magnetically confined fusion plasmas

Ideally, binary-collision algorithms conserve kinetic momentum and energy. In practice, the finite size of collision cells and the finite difference in the particle locations affect the conservation properties. In the present work, we investigate numerically how the accuracy of these algorithms is affected when the size of collision cells is large compared with gradient scale length of the background plasma, a parameter essential in full- $f$ fusion plasma simulations. Additionally, we discuss implications for the conserved quantities in drift-kinetic formulations when fluctuating magnetic and electric fields are present: we suggest how the accuracy of the algorithms could potentially be improved with minor modifications.

Comparison of Influence of the Fast Atom Beam and Ion Beam on the Metal Target

A comparative analysis of a fast atom beam and ion beam effect on a metal target in the binary collision model is performed. Irradiation by fast atoms has been shown to more closely correspond to neutron radiation in a nuclear reactor, in terms of the primary knocked-on atom spectrum and the efficiency and mechanism of the radiation defect formation. It was found that upon irradiation by fast carbon atoms with an energy of 0.2-0.3 MeV, the average number of radiation defects in the displacement cascade of one atom is four to five times higher than the calculated values using the SRIM program for ions with the same energy. It is shown that during penetration in the target, the probability of ionization of atoms with energies less than 0.4 MeV is negligible.

Counting Collisions in an N-Billiard System Using Angles Between Collision Subspaces

The principal angles between binary collision subspaces in an N-billiard system in d-dimensional Euclidean space are computed. These angles are computed for equal masses and arbitrary masses. We then provide a bound on the number of collisions in the planar 3-billiard system problem. Comparison of this result with known billiard collision bounds in lower dimensions is discussed.