Nuclear Fission Chain Reaction Simulation
This simulation lets you adjust the neutron multiplication factor (k) of a fission chain reaction and watch, generation by generation, whether the reaction dies out (subcritical), holds steady (critical), or grows explosively (supercritical).
Interactive simulation
The physics behind this simulation
Each fission event releases on average k neutrons that go on to cause further fission (after accounting for neutrons lost to absorption or escape). Starting from N₀ neutrons, the neutron population after g generations is:
When k < 1 (subcritical), each generation produces fewer neutrons than the last, and the reaction dies out. When k = 1 (critical), the neutron population stays constant generation after generation — this is the condition maintained in a controlled nuclear power reactor. When k > 1 (supercritical), the neutron population — and the energy release rate — grows exponentially with each generation, the regime used (in a carefully engineered, extremely fast, uncontrolled form) in nuclear weapons.
Sources
- Krane, K.S. (1987). Introductory Nuclear Physics. Wiley, Ch. 13.