{
  "annotation_id": "4e2035d5-9495-42de-b950-efb3b23fa539",
  "date_created": "2026-03-02T18:01:06.950000Z",
  "date_modified": "2026-03-02T18:01:06.950000Z",
  "file_hash": "d1af361fb256d04f6dd640b79d8416dbc3209b0006792227f0b398c400cd4a25",
  "private": false,
  "record": {
    "abstract": "We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium\ndynamical formulation. In this formulation all coordinates in phase space\nformed by the position and crystal momentum space are treated on equal footing.\nExplicitly demonstrations of the no (naive) Liouville theorem and of the\nvalidity of Darboux theorem are given. The explicit equilibrium distribution\nfunction is obtained. The similarities and differences to previous approaches\nare discussed. Our results confirm the richness of the Bloch-Peierls-Berry\ndynamics.",
    "arxiv_id": "physics/0605101",
    "authors": [
      "John Olson",
      "Ping Ao"
    ],
    "categories": [
      "physics.class-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevB.75.035114",
    "journal_ref": "Phys.Rev. B75 (2007) 035114",
    "title": "Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics",
    "url": "https://arxiv.org/abs/physics/0605101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eca6a640-c6b3-43ae-b719-ebd887a449fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}