{
  "annotation_id": "065dd4c6-3a46-47f0-84c7-1d34b20573c3",
  "date_created": "2026-03-02T18:01:03.285000Z",
  "date_modified": "2026-03-02T18:01:03.285000Z",
  "file_hash": "28395e0a33cd0b97e0986fafe952dd456126f68c14cb7f29632ecc760fe6ef55",
  "private": false,
  "record": {
    "abstract": "A computer code is written that simulates the relaxation back to thermal\nequilibrium of an ensemble of particles after a pi/2 pulse. Beginning with\nBloch\u0027s equations the exponential relaxation behavior is discussed and the\ntransition into a step by step process (from the continuous process) is made\nsuch that it is possible for the computer code to simulate the action. An\nanalysis of Boltzmann\u0027s factor is offered and serves as the link between the\ntemperature of the ensemble and the parameter that is used to determine if a\nspin is in the up state or the down state. The specifics of the code are\ndiscussed and the spins are shown to follow the rules of interaction governed\nby the physical collisions that can take place. Lastly, graphs of the\nsimulation are provided and a discussion of its usefulness is given.",
    "arxiv_id": "physics/0511156",
    "authors": [
      "John L. Haller Jr"
    ],
    "categories": [
      "physics.med-ph",
      "physics.comp-ph"
    ],
    "title": "Using probability and rules of interaction to simulate the spin   relaxation in a MRI",
    "url": "https://arxiv.org/abs/physics/0511156"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a952a741-7b10-47c8-b47e-967fdac883d6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}