TY - JOUR
AB - 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).
AU - Erdös, László
AU - Tuyen, Dao
ID - 2722
IS - 3
JF - Communications in Mathematical Physics
SN - 0010-3616
TI - Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
VL - 143
ER -