LARGE EMISSION REGIME IN MEAN FIELD LUMINESCENCE

Author(s)

Pechersky, E. ^[1] ; Pirogov, S. ^[1] ; Schuetz, G. M. ^[2] ; Vladimirov, A. ^[1] ; Yambartsev, A. ^[3]

Affiliation

^[1] Inst Informat Transmiss Problems, 19 Bol, Moscow 127994 - Russia

^[2] Univ Bonn, Interdisziplinares Zentrum Komplexe Syst, Bruhler Str 7, D-53119 Bonn - Germany

^[3] Univ Sao Paulo, Inst Math & Stat, BR-05508090 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: MOSCOW MATHEMATICAL JOURNAL; v. 19, n. 1, p. 107-120, JAN-MAR 2019.
• Web of Science Citations: 0

Abstract

We study a class of random processes on N particles which can be interpreted as stochastic model of luminescence. Each particle can stay in one of two states: Excited state or ground state. Any particle at ground state is excited with a constant rate (pumping). The number of excited particles decreases by means of photon emission through interactions of the particles. We analyse the rare event of flashes, i.e., the emission of a very large number of photons B during a fixed time interval T. We employ the theory of large deviations to provide the asymptotics of the probability of such event when the total number of particles N tends to infinity. This theory gives us also the optimal trajectory of scaled process corresponding to this event. The stationary regime of this process we call the large emission regime. In several cases we prove that in the large emission regime a share of excited particles in a system is stable under the changes of the pumping and emission rates. (AU)

• FAPESP's process: 17/20696-0 - From interacting particle systems to topological data analysis
• Grantee: Vladimir Belitsky
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• FAPESP's process: 17/10555-0 - Stochastic modeling of interacting systems
• Grantee: Fabio Prates Machado
• Support Opportunities: Research Projects - Thematic Grants