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## PH3110 BSc projects / PTD | ||||||||

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One of the initial goals of the project could be to establish that the random walk used in the project does conform to the expected statistical properties of a truly random walk: eg that the expectation value of the distance travelled by particles after n steps is zero, and that the expectation value of the distance squared is n (or, equivalently, that the rms distance is √n). Students could compare the standard 2D random walk (where particles can only move up/down/left/right) vs a random walk where, in addition, 4 diagonal movements are also allowed (NW, NE, SW, SE). The latter is preferred for the nuclear fission project because it means that in the finest chessboard configuration (where the four nearest-neighbours of an M (F) cell are all F (M) cells) a neutron can move to either a F or M cell. The former means that in this same pile configuration the neutron will always move from to a cell of different type from the type of the cell in its initial position with 100% probability: i.e., always from M to F, or from F to M. | ||||||||

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< < | -- Pedro Teixeira Dias - 18 March 2021 | |||||||

> > | A random walk is an example of a Markov chain process. | |||||||

## Comments |

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