Journal of Energy Technologies and Policy www.iiste.org ISSN 2224-3232 (Paper) ISSN 2225-0573 (Online) Vol.1, No.4, 2011 1 Mathematics of Fusion Reactors and Energy Gain Factor Model Syed Bahauddin Alam1*, Palash Karmokar†,Asfa Khan†, Md. Nagib Mahafuzz†, Farha Sharmin††, Tahnia Farheen, Md. Abdullah-Al-Mamun, Md. Rashiduzzaman Bulbul, Hasan Imtiaz Chowdhury, Md. Abdul Matin* Department of EEE, *Bangladesh University of Engineering and Technology (BUET), Dhaka †University of Asia Pacific (UAP), Dhaka ††Development Research Network (D.Net) baha_ece@yahoo.com Abstract Particles are accelerated by gaining the energy from back ground plasmas through MHD waves. Particles are scattered by the MHD waves which are raised by instability of background plasmas. Probability that a particle entering to the downstream will eventually return to the upstream energy gain factor when a particle crosses and re-crosses the shock front. In this paper, Characteristic features of gen-4 nuclear reactors, its reactivity control mechanism, characteristic features of fission reactors, reactor kinetics and accelerator models have been discussed. As well as transient analysis of reactor via simulation and its industrial viability has been discussed in this paper. Keywords: Fusion Reactors, Energy Gain Factor Model, Neutron Life Time. 1. Introduction Reactivity control and its safety is treated by assimilation of neutrons in the nuclear reactor. For controlling reactivity, Gen-4reactors are robust enough. In these reactors different mechanisms are used for controlling the mechanism of reactor core’s activity. In Gen-4 nuclear reactors heavy particle scattering may be done because of smoothing of the reactor process. Heavy Particle scattering from an Electron and by this mechanism reactivity and atom speed can be controlled. For PARR-1 Nuclear Reactor Computer-Aided Testing and simulation has evolved. In the design of thermal reactor Resonance Escape Probability is one of the important factors. Difference of the power-law index Equation which shows difference between Vietri & Peacock This equation becomes 0 when variance of the energy gain factor is 0. In a thermal reactor, most of the neutrons are immersed after they have retarded to thermal energies. Thermal reactors are typical to diverse escape probability. All of the fission neutrons must eventually be absorbed some wherein the reactor and there having no ef ux of neutrons from an infinite nucleus. . In most reactor designs, various restraints ensue in this heat departure the reactor chamber at a comparatively low temperature, so that trivial or none of it can be retrieved as wattage. In a fusion power reactor a plasma must be exerted at a high temperature in order