An argument brought forward by Sholl and Fichthorn [J. Chem. Phys. 106, 1646 (1997)] against the stochastic collision-based constant temperature algorithm for molecular dynamics simulations developed by Kast et al. [J. Chem. Phys 100, 566 (1994); 104, 3732 (1996)] is refuted. It is demonstrated that the large temperature fluctuations noted by Sholl and Fichthorn are due to improperly chosen initial conditions within their formulation of the algorithm. With the original form or by suitable initialization of their variant no deficient behavior is observed.

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See EPAPS Document No. E-JCPSA6-120-517409 for a computer program implementing variants of the stochastic collision algorithm with several initial conditions.
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