dorsal/arxiv
View SchemaQuantum response of finite Fermi systems and the relation of Lyapunov exponent to transport coefficients
| Authors | Klaus Morawetz |
|---|---|
| Categories | |
| ArXiv ID | physics/9810046 |
| URL | https://arxiv.org/abs/physics/9810046 |
Abstract
Within the frame of kinetic theory a response function is derived for finite Fermi systems which includes dissipation in relaxation time approximation and a contribution from additional chaotic processes characterized by the largest Lyapunov exponent. A generalized local density approximation is presented including the effect of many particle relaxation and the additional chaotic scattering. For small Lyapunov exponents relative to the product of wave vector and Fermi velocity in the system, the largest Lyapunov exponent modifies the response in the same way as the relaxation time. Therefore the transport coefficients can be connected with the largest positive Lyapunov exponent in the same way as known from the transport theory in relaxation time approximation.
{
"annotation_id": "497a4cd7-33b6-4ade-9a0e-4993704a46fc",
"date_created": "2026-03-02T18:01:20.930000Z",
"date_modified": "2026-03-02T18:01:20.930000Z",
"file_hash": "650749a82c9b8a468f7f71616553f0be5937fe8c75132fb86f080d0c8e69f098",
"private": false,
"record": {
"abstract": "Within the frame of kinetic theory a response function is derived for finite\nFermi systems which includes dissipation in relaxation time approximation and a\ncontribution from additional chaotic processes characterized by the largest\nLyapunov exponent. A generalized local density approximation is presented\nincluding the effect of many particle relaxation and the additional chaotic\nscattering. For small Lyapunov exponents relative to the product of wave vector\nand Fermi velocity in the system, the largest Lyapunov exponent modifies the\nresponse in the same way as the relaxation time. Therefore the transport\ncoefficients can be connected with the largest positive Lyapunov exponent in\nthe same way as known from the transport theory in relaxation time\napproximation.",
"arxiv_id": "physics/9810046",
"authors": [
"Klaus Morawetz"
],
"categories": [
"physics.atom-ph",
"chao-dyn",
"cond-mat.stat-mech",
"nlin.CD",
"nucl-th"
],
"title": "Quantum response of finite Fermi systems and the relation of Lyapunov exponent to transport coefficients",
"url": "https://arxiv.org/abs/physics/9810046"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a629d50e-eb6a-47f5-84ef-37e15f3cdde3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}