Temperature-Fermion Number Correlations in Finite Paired Systems
We investigate finite systems of <i>N</i> paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific <i>N</i> dependent effects that can not be attained in the...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-11-01
|
| Series: | Quantum Reports |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2624-960X/2/4/37 |
| _version_ | 1797548760517050368 |
|---|---|
| author | Angelo Plastino Diana Monteoliva Angel R. Plastino |
| author_facet | Angelo Plastino Diana Monteoliva Angel R. Plastino |
| author_sort | Angelo Plastino |
| collection | DOAJ |
| description | We investigate finite systems of <i>N</i> paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific <i>N</i> dependent effects that can not be attained in the thermodynamics limit of ordinary superconductivity. In particular, an important fact is uncovered: there is a strong correlation between the temperature <i>T</i> and the number of fermions <i>N</i>. A certain temperature increase <inline-formula><math display="inline"><semantics><mrow><mo>Δ</mo><mi>T</mi></mrow></semantics></math></inline-formula> produces, in thermal quantifiers (such as the entropy), quite different effects if <inline-formula><math display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> or <inline-formula><math display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>25</mn></mrow></semantics></math></inline-formula>. In fact, whether a given temperature value should be regarded as high or low can not be ascertained independent of the <i>N</i> value. |
| first_indexed | 2024-03-10T15:05:14Z |
| format | Article |
| id | doaj.art-90e7b415a18646dcb3746527f6271c61 |
| institution | Directory Open Access Journal |
| issn | 2624-960X |
| language | English |
| last_indexed | 2024-03-10T15:05:14Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj.art-90e7b415a18646dcb3746527f6271c612023-11-20T19:51:28ZengMDPI AGQuantum Reports2624-960X2020-11-012452954110.3390/quantum2040037Temperature-Fermion Number Correlations in Finite Paired SystemsAngelo Plastino0Diana Monteoliva1Angel R. Plastino2Department of physics, National University La Plata-CONICET-IFLP, CC 727, La Plata 1900, ArgentinaUNLP-Comisión de Investigaciones Científicas, Provincia de Buenos Aires, La Plata 1900, ArgentinaCeBio y Departamento de Ciencias Básicas, Universidad Nacional del Noroeste de la Província de Buenos Aires, UNNOBA, Conicet, Roque Saenz Peña 456, Junin 6000, ArgentinaWe investigate finite systems of <i>N</i> paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific <i>N</i> dependent effects that can not be attained in the thermodynamics limit of ordinary superconductivity. In particular, an important fact is uncovered: there is a strong correlation between the temperature <i>T</i> and the number of fermions <i>N</i>. A certain temperature increase <inline-formula><math display="inline"><semantics><mrow><mo>Δ</mo><mi>T</mi></mrow></semantics></math></inline-formula> produces, in thermal quantifiers (such as the entropy), quite different effects if <inline-formula><math display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>4</mn></mrow></semantics></math></inline-formula> or <inline-formula><math display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>25</mn></mrow></semantics></math></inline-formula>. In fact, whether a given temperature value should be regarded as high or low can not be ascertained independent of the <i>N</i> value.https://www.mdpi.com/2624-960X/2/4/37N-fermion systemsN-dependent effectspairing |
| spellingShingle | Angelo Plastino Diana Monteoliva Angel R. Plastino Temperature-Fermion Number Correlations in Finite Paired Systems Quantum Reports N-fermion systems N-dependent effects pairing |
| title | Temperature-Fermion Number Correlations in Finite Paired Systems |
| title_full | Temperature-Fermion Number Correlations in Finite Paired Systems |
| title_fullStr | Temperature-Fermion Number Correlations in Finite Paired Systems |
| title_full_unstemmed | Temperature-Fermion Number Correlations in Finite Paired Systems |
| title_short | Temperature-Fermion Number Correlations in Finite Paired Systems |
| title_sort | temperature fermion number correlations in finite paired systems |
| topic | N-fermion systems N-dependent effects pairing |
| url | https://www.mdpi.com/2624-960X/2/4/37 |
| work_keys_str_mv | AT angeloplastino temperaturefermionnumbercorrelationsinfinitepairedsystems AT dianamonteoliva temperaturefermionnumbercorrelationsinfinitepairedsystems AT angelrplastino temperaturefermionnumbercorrelationsinfinitepairedsystems |