Ultrasoft Classical Systems at Zero Temperature
At low temperatures, classical ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study, we reach analytical expressions for the energy and the density interval of the coexistence regions for general ultrasoft pairwise potentials at zero tempera...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/2/356 |
| _version_ | 1797621068290064384 |
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| author | Matheus de Mello Rogelio Díaz-Méndez Alejandro Mendoza-Coto |
| author_facet | Matheus de Mello Rogelio Díaz-Méndez Alejandro Mendoza-Coto |
| author_sort | Matheus de Mello |
| collection | DOAJ |
| description | At low temperatures, classical ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study, we reach analytical expressions for the energy and the density interval of the coexistence regions for general ultrasoft pairwise potentials at zero temperatures. We use an expansion in the inverse of the number of particles per cluster for an accurate determination of the different quantities of interest. Differently from previous works, we study the ground state of such models, in two and three dimensions, considering an integer cluster occupancy number. The resulting expressions were successfully tested in the small and large density regimes for the Generalized Exponential Model α, varying the value of the exponent. |
| first_indexed | 2024-03-11T08:51:26Z |
| format | Article |
| id | doaj.art-04929b034fef49779881624aea21d810 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T08:51:26Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-04929b034fef49779881624aea21d8102023-11-16T20:24:22ZengMDPI AGEntropy1099-43002023-02-0125235610.3390/e25020356Ultrasoft Classical Systems at Zero TemperatureMatheus de Mello0Rogelio Díaz-Méndez1Alejandro Mendoza-Coto2Department of Physics, Kyoto University, Kyoto 606-8502, JapanEricsson BA Cloud Software, R&D DSS, Ericsson Building 8, 16440 Kista, SwedenDepartamento de Física, Universidade Federal de Santa Catarina, Florianópolis 88040-900, BrazilAt low temperatures, classical ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study, we reach analytical expressions for the energy and the density interval of the coexistence regions for general ultrasoft pairwise potentials at zero temperatures. We use an expansion in the inverse of the number of particles per cluster for an accurate determination of the different quantities of interest. Differently from previous works, we study the ground state of such models, in two and three dimensions, considering an integer cluster occupancy number. The resulting expressions were successfully tested in the small and large density regimes for the Generalized Exponential Model α, varying the value of the exponent.https://www.mdpi.com/1099-4300/25/2/356soft-core interaction potentialGEM-α modelclassical ground state |
| spellingShingle | Matheus de Mello Rogelio Díaz-Méndez Alejandro Mendoza-Coto Ultrasoft Classical Systems at Zero Temperature Entropy soft-core interaction potential GEM-α model classical ground state |
| title | Ultrasoft Classical Systems at Zero Temperature |
| title_full | Ultrasoft Classical Systems at Zero Temperature |
| title_fullStr | Ultrasoft Classical Systems at Zero Temperature |
| title_full_unstemmed | Ultrasoft Classical Systems at Zero Temperature |
| title_short | Ultrasoft Classical Systems at Zero Temperature |
| title_sort | ultrasoft classical systems at zero temperature |
| topic | soft-core interaction potential GEM-α model classical ground state |
| url | https://www.mdpi.com/1099-4300/25/2/356 |
| work_keys_str_mv | AT matheusdemello ultrasoftclassicalsystemsatzerotemperature AT rogeliodiazmendez ultrasoftclassicalsystemsatzerotemperature AT alejandromendozacoto ultrasoftclassicalsystemsatzerotemperature |