Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
Erdös L, Tuyen D. 1992. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. 143(3), 451–466.
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Author
Erdös, LászlóISTA 
;
Tuyen, Dao
;
Tuyen, DaoAbstract
A version of the one-dimensional Rayleigh gas is considered: a point particle of mass M (molecule), confined to the unit interval [0,1], is surrounded by an infinite ideal gas of point particles of mass 1 (atoms). The molecule interacts with the atoms and with the walls via elastic collision. Central limit theorems are proved for a wide class of additive functionals of this system (e.g. the number of collisions with the walls and the total length of the molecular path).
Publishing Year
Date Published
1992-01-01
Journal Title
Communications in Mathematical Physics
Publisher
Springer
Acknowledgement
The authors are very grateful to D. Szasz and A. Kramli for valuable discussions and their encouragement. We are also indebted to D. Dϋrr for his comments and suggestions.
Volume
143
Issue
3
Page
451 - 466
ISSN
IST-REx-ID
Cite this
Erdös L, Tuyen D. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. 1992;143(3):451-466. doi:10.1007/BF02099260
Erdös, L., & Tuyen, D. (1992). Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/BF02099260
Erdös, László, and Dao Tuyen. “Central Limit Theorems for the One-Dimensional Rayleigh Gas with Semipermeable Barriers.” Communications in Mathematical Physics. Springer, 1992. https://doi.org/10.1007/BF02099260.
L. Erdös and D. Tuyen, “Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers,” Communications in Mathematical Physics, vol. 143, no. 3. Springer, pp. 451–466, 1992.
Erdös L, Tuyen D. 1992. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. 143(3), 451–466.
Erdös, László, and Dao Tuyen. “Central Limit Theorems for the One-Dimensional Rayleigh Gas with Semipermeable Barriers.” Communications in Mathematical Physics, vol. 143, no. 3, Springer, 1992, pp. 451–66, doi:10.1007/BF02099260.
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