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The '''Berendsen thermostat'''<ref>{{cite journal | first=H. J. C. | last=Berendsen | coauthors=Postma, J. P. M.; van Gunsteren, W. F.; DiNola, A.; Haak, J. R. | journal=Journal of Chemical Physics | title=Molecular-Dynamics with Coupling to an External Bath | year=1984 | volume=81 | issue=8 | pages=3684–3690 | doi=10.1063/1.448118 |bibcode = 1984JChPh..81.3684B }}</ref> is an algorithm to re-scale the velocities of particles in [[molecular dynamics]] simulations to control the simulation temperature.
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==Basic Description==
In this scheme, the system is weakly coupled to a [[heat bath]] with some temperature. The [[thermostat]] suppresses fluctuations of the [[kinetic energy]] of the system and therefore cannot produce trajectories consistent with the [[canonical ensemble]]. The temperature of the system is corrected such that the deviation exponentially decays with some time constant <math>\tau </math>.
 
:<math>\tfrac{dT}{dt}=\tfrac{T_0-T}{\tau}</math>
 
Though the thermostat does not generate a correct [[canonical ensemble]] (especially for small systems), for large systems on the order of hundreds or thousands of atoms/molecules, the approximation yields roughly correct results for most calculated properties. The scheme is widely used due to the efficiency with which it relaxes a system to some target (bath) temperature. In many instances, systems are initially equilibrated using the Berendsen scheme, while properties are calculated using the widely known [[Nosé-Hoover thermostat]], which correctly generates trajectories consistent with a canonical ensemble.
 
==References==
<references/>
 
{{physics-stub}}
[[Category:Molecular dynamics]]

Latest revision as of 23:01, 28 September 2014

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