| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000389459 |
| ISSN: | 0103-9733 |
| Authors: | Caparica, A.A1 Silva, Claudio J. Da2 |
| Institutions: | 1Universidade Federal de Goias, Instituto de Fisica, Goiania, Goias. Brasil 2Instituto Federal de Educacao, Ciencia e Tecnologia de Goias, Goiania, Goias. Brasil |
| Year: | 2015 |
| Season: | Dic |
| Volumen: | 45 |
| Number: | 6 |
| Pages: | 713-718 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | In this work, we discuss the behavior of the microcanonical temperature ∂S(E) ∂E obtained by means of numerical entropic sampling studies. It is observed that in almost all cases, the slope of the logarithm of the density of states S(E) is not infinite in the ground state, since as expected it should be directly related to the inverse temperature 1 T . Here, we show that these finite slopes are in fact due to finite-size effects and we propose an analytic expression a ln(bL) for the behavior of ΔS ΔE when L → ∞. To test this idea, we use three distinct two-dimensional square lattice models presenting second-order phase transitions. We calculated by exact means the parameters a and b for the two-states Ising model and for the q = 3 and 4 states Potts model and compared with the results obtained by entropic sampling simulations. We found an excellent agreement between exact and numerical values. We argue that this new set of parameters a and b represents an interesting novel issue of investigation in entropic sampling studies for different models |
| Disciplines: | Física y astronomía |
| Keyword: | Termodinámica y física estadística, Muestreo entrópico, Temperatura microcanónica, Densidad de estados |
| Keyword: | Physics and astronomy, Thermodynamics and statistical physics, Entropic sampling, Microcanonical temperature, Density of states |
| Full text: | Texto completo (Ver PDF) |
