dorsal/arxiv
View SchemaTsallis' entropy maximization procedure revisited
| Authors | S. Martinez, F. Nicolas, F. Pennini, A. Plastino |
|---|---|
| Categories | |
| ArXiv ID | physics/0003098 |
| URL | https://arxiv.org/abs/physics/0003098 |
| DOI | 10.1016/S0378-4371(00)00359-9 |
| Journal | Physica A 286 (2000) 489 |
Abstract
The proper way of averaging is an important question with regards to Tsallis' Thermostatistics. Three different procedures have been thus far employed in the pertinent literature. The third one, i.e., the Tsallis-Mendes-Plastino (TMP) normalization procedure, exhibits clear advantages with respect to earlier ones. In this work, we advance a distinct (from the TMP-one) way of handling the Lagrange multipliers involved in the extremization process that leads to Tsallis' statistical operator. It is seen that the new approach considerably simplifies the pertinent analysis without losing the beautiful properties of the Tsallis-Mendes-Plastino formalism.
{
"annotation_id": "18e89cf8-0d1b-42f9-9c62-34b87065f5ab",
"date_created": "2026-03-02T18:00:29.236000Z",
"date_modified": "2026-03-02T18:00:29.236000Z",
"file_hash": "ba094e7e7fcc5f778134a42a01c487896aa7ee0809b55daf6d2806ffec476fa4",
"private": false,
"record": {
"abstract": "The proper way of averaging is an important question with regards to Tsallis\u0027\nThermostatistics. Three different procedures have been thus far employed in the\npertinent literature. The third one, i.e., the Tsallis-Mendes-Plastino (TMP)\nnormalization procedure, exhibits clear advantages with respect to earlier\nones. In this work, we advance a distinct (from the TMP-one) way of handling\nthe Lagrange multipliers involved in the extremization process that leads to\nTsallis\u0027 statistical operator. It is seen that the new approach considerably\nsimplifies the pertinent analysis without losing the beautiful properties of\nthe Tsallis-Mendes-Plastino formalism.",
"arxiv_id": "physics/0003098",
"authors": [
"S. Martinez",
"F. Nicolas",
"F. Pennini",
"A. Plastino"
],
"categories": [
"physics.data-an"
],
"doi": "10.1016/S0378-4371(00)00359-9",
"journal_ref": "Physica A 286 (2000) 489",
"title": "Tsallis\u0027 entropy maximization procedure revisited",
"url": "https://arxiv.org/abs/physics/0003098"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "743200b8-ec7b-458f-b3a9-3f0291bd224e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}