Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers

L. Erdös, D. Tuyen, Communications in Mathematical Physics 143 (1992) 451–466.

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Abstract
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
Volume
143
Issue
3
Page
451 - 466
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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, 143(3), 451–466. 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 143, no. 3 (1992): 451–66. 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, 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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