{
  "annotation_id": "8807ac43-f1fc-439a-9a9f-5683b1c8315a",
  "date_created": "2026-03-02T18:01:21.831000Z",
  "date_modified": "2026-03-02T18:01:21.831000Z",
  "file_hash": "2aac6a676805c7cdddc9678b91dc9a4663f5eb730948272b0fb769126dc80283",
  "private": false,
  "record": {
    "abstract": "Quantitative theory of interbilayer interactions is essential to interpret\nx-ray scattering data and to elucidate these interactions for biologically\nrelevant systems. For this purpose Monte Carlo simulations have been performed\nto obtain pressure P and positional fluctuations sigma. A new method, called\nFourier Monte-Carlo (FMC), that is based on a Fourier representation of the\ndisplacement field, is developed and its superiority over the standard method\nis demonstrated. The FMC method is applied to simulating a single membrane\nbetween two hard walls, which models a stack of lipid bilayer membranes with\nnon-harmonic interactions. Finite size scaling is demonstrated and used to\nobtain accurate values for P and sigma in the limit of a large continuous\nmembrane. The results are compared with perturbation theory approximations, and\nnumerical differences are found in the non-harmonic case. Therefore, the FMC\nmethod, rather than the approximations, should be used for establishing the\nconnection between model potentials and observable quantities, as well as for\npure modeling purposes.",
    "arxiv_id": "physics/9805007",
    "authors": [
      "Nikolai Gouliaev",
      "John F. Nagle"
    ],
    "categories": [
      "physics.bio-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.58.881",
    "title": "Simulations of a single membrane between two walls using a Monte Carlo   method",
    "url": "https://arxiv.org/abs/physics/9805007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f0f58591-08f3-45bf-8d16-477ed2f79ee6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}