Entropic Distance for Nonlinear Master Equation
More and more works deal with statistical systems far from equilibrium, dominated by unidirectional stochastic processes, augmented by rare resets. We analyze the construction of the entropic distance measure appropriate for such dynamics. We demonstrate that a power-like nonlinearity in the state p...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-01-01
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| Series: | Universe |
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| Online Access: | http://www.mdpi.com/2218-1997/4/1/10 |
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| author | Tamás Sándor Biró András Telcs Zoltán Néda |
| author_facet | Tamás Sándor Biró András Telcs Zoltán Néda |
| author_sort | Tamás Sándor Biró |
| collection | DOAJ |
| description | More and more works deal with statistical systems far from equilibrium, dominated by unidirectional stochastic processes, augmented by rare resets. We analyze the construction of the entropic distance measure appropriate for such dynamics. We demonstrate that a power-like nonlinearity in the state probability in the master equation naturally leads to the Tsallis (Havrda–Charvát, Aczél–Daróczy) q-entropy formula in the context of seeking for the maximal entropy state at stationarity. A few possible applications of a certain simple and linear master equation to phenomena studied in statistical physics are listed at the end. |
| first_indexed | 2024-04-13T08:49:12Z |
| format | Article |
| id | doaj.art-c2de98380c934ce1bc205105f650e9ab |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-13T08:49:12Z |
| publishDate | 2018-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-c2de98380c934ce1bc205105f650e9ab2022-12-22T02:53:33ZengMDPI AGUniverse2218-19972018-01-01411010.3390/universe4010010universe4010010Entropic Distance for Nonlinear Master EquationTamás Sándor Biró0András Telcs1Zoltán Néda2Hungarian Academy of Science Wigner Research Centre for Physics, 1121 Budapest, HungaryHungarian Academy of Science Wigner Research Centre for Physics, 1121 Budapest, HungaryDepartment of Physics, Universitate Babes-Bolyai, Cluj 400084, RomaniaMore and more works deal with statistical systems far from equilibrium, dominated by unidirectional stochastic processes, augmented by rare resets. We analyze the construction of the entropic distance measure appropriate for such dynamics. We demonstrate that a power-like nonlinearity in the state probability in the master equation naturally leads to the Tsallis (Havrda–Charvát, Aczél–Daróczy) q-entropy formula in the context of seeking for the maximal entropy state at stationarity. A few possible applications of a certain simple and linear master equation to phenomena studied in statistical physics are listed at the end.http://www.mdpi.com/2218-1997/4/1/10q-entropyentropic distanceMatthew principle |
| spellingShingle | Tamás Sándor Biró András Telcs Zoltán Néda Entropic Distance for Nonlinear Master Equation Universe q-entropy entropic distance Matthew principle |
| title | Entropic Distance for Nonlinear Master Equation |
| title_full | Entropic Distance for Nonlinear Master Equation |
| title_fullStr | Entropic Distance for Nonlinear Master Equation |
| title_full_unstemmed | Entropic Distance for Nonlinear Master Equation |
| title_short | Entropic Distance for Nonlinear Master Equation |
| title_sort | entropic distance for nonlinear master equation |
| topic | q-entropy entropic distance Matthew principle |
| url | http://www.mdpi.com/2218-1997/4/1/10 |
| work_keys_str_mv | AT tamassandorbiro entropicdistancefornonlinearmasterequation AT andrastelcs entropicdistancefornonlinearmasterequation AT zoltanneda entropicdistancefornonlinearmasterequation |