dorsal/arxiv
View SchemaSimulations in statistical physics and biology: some applications
| Authors | Maria del Pilar Monsivais-Alonso |
|---|---|
| Categories | |
| ArXiv ID | physics/0603035 |
| URL | https://arxiv.org/abs/physics/0603035 |
Abstract
One of the most active areas of physics in the last decades has been that of critical phenomena, and Monte Carlo simulations have played an important role as a guide for the validation and prediction of system properties close to the critical points. The kind of phase transitions occurring for the Betts lattice (lattice constructed removing 1/7 of the sites from the triangular lattice) have been studied before with the Potts model for the values q=3, ferromagnetic and antiferromagnetic regime. Here, we add up to this research line the ferromagnetic case for q=4 and 5. In the first case, the critical exponents are estimated for the second order transition, whereas for the latter case the histogram method is applied for the occurring first order transition. Additionally, Domany's Monte Carlo based clustering technique mainly used to group genes similar in their expression levels is reviewed. Finally, a control theory tool --an adaptive observer-- is applied to estimate the exponent parameter involved in the well-known Gompertz curve. By treating all these subjects our aim is to stress the importance of cooperation between distinct disciplines in addressing the complex problems arising in biology. Contents: Chapter 1 - Monte Carlo simulations in stat. physics; Chapter 2: MC simulations in biology; Chapter 3: Gompertz equation
{
"annotation_id": "22423845-5107-4753-8d2b-35d75b60ccca",
"date_created": "2026-03-02T18:01:06.619000Z",
"date_modified": "2026-03-02T18:01:06.619000Z",
"file_hash": "b30503b0ffe1a0e73c2107c77bff432c94ac86270b6f6a6c7b571131d491b89f",
"private": false,
"record": {
"abstract": "One of the most active areas of physics in the last decades has been that of\ncritical phenomena, and Monte Carlo simulations have played an important role\nas a guide for the validation and prediction of system properties close to the\ncritical points. The kind of phase transitions occurring for the Betts lattice\n(lattice constructed removing 1/7 of the sites from the triangular lattice)\nhave been studied before with the Potts model for the values q=3, ferromagnetic\nand antiferromagnetic regime. Here, we add up to this research line the\nferromagnetic case for q=4 and 5. In the first case, the critical exponents are\nestimated for the second order transition, whereas for the latter case the\nhistogram method is applied for the occurring first order transition.\nAdditionally, Domany\u0027s Monte Carlo based clustering technique mainly used to\ngroup genes similar in their expression levels is reviewed. Finally, a control\ntheory tool --an adaptive observer-- is applied to estimate the exponent\nparameter involved in the well-known Gompertz curve. By treating all these\nsubjects our aim is to stress the importance of cooperation between distinct\ndisciplines in addressing the complex problems arising in biology.\n Contents: Chapter 1 - Monte Carlo simulations in stat. physics; Chapter 2: MC\nsimulations in biology; Chapter 3: Gompertz equation",
"arxiv_id": "physics/0603035",
"authors": [
"Maria del Pilar Monsivais-Alonso"
],
"categories": [
"physics.bio-ph",
"physics.comp-ph"
],
"title": "Simulations in statistical physics and biology: some applications",
"url": "https://arxiv.org/abs/physics/0603035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5b31d5ba-4959-4fa6-be85-4f9e04935c9f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}