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The '''Flying ice cube''' <ref>[http://www3.interscience.wiley.com/journal/33911/abstract Stephen C. Harvey, Robert K.-Z. Tan, Thomas E. Cheatham III "The flying ice cube: Velocity rescaling in molecular dynamics leads to violation of energy equipartition", Journal of Computational Chemistry '''19''' pp. 726-740 (1998)]</ref>
The '''Flying ice cube''' <ref>[http://www3.interscience.wiley.com/journal/33911/abstract Stephen C. Harvey, Robert K.-Z. Tan, Thomas E. Cheatham III "The flying ice cube: Velocity rescaling in molecular dynamics leads to violation of energy equipartition", Journal of Computational Chemistry '''19''' pp. 726-740 (1998)]</ref>
is an artificial situation encountered in [[ molecular dynamics]] simulations whereby an incorrect [[equipartition]] of energy is brought about
is an artificial situation encountered in [[ molecular dynamics]] simulations. It is due to an incorrect [[equipartition]] of energy
by [[Thermostats| thermostats]] that improperly implement some form of periodic velocity rescaling outside of the continuous equations of motion, such as the [[Berendsen thermostat]].
by the [[Thermostats| thermostat]], in particular, by thermostats that implement some form of periodic velocity rescaling, such as the [[Bussi-Donadio-Parrinello thermostat]]. The net result is that an instability forms where the kinetic energy may be drained from some [[Degree of freedom| degrees of freedom]] and be incorrectly fed into others. A manifestation of this would be the kinetic energy from the high frequency bond vibrations and angle bending in a system composed of, say,  flexible [[Water models|water molecules]] ending up in the zero frequency mode of the kinetic energy of the system as a whole (''i.e.'' centre of mass translation); the molecular motions would become frozen, resulting in a ''flying ice cube''. Note that despite the name, this situation is not limited to simulations of water.
The artifact is due to these thermostats violating the balance condition that is a requirement of Monte Carlo simulations ([[ molecular dynamics ]] simulations with velocity rescaling thermostats can be thought of as Monte Carlo simulations with [[ molecular dynamics]] moves and velocity rescaling moves).<ref name="Braun et al">[http://doi.org/10.1021/acs.jctc.8b00446 Efrem Braun, Seyed M. Moosavi, Berend Smit "Anomalous Effects of Velocity Rescaling Algorithms: The Flying Ice Cube Effect Revisited", Journal of Chemical Theory and Computation '''14''' pp. 5262-5272 (2018)]</ref>
==Solutions==
The net result is that an instability forms where the kinetic energy may be drained from some [[Degree of freedom| degrees of freedom]] and be incorrectly fed into others. A manifestation of this would be the kinetic energy from the high frequency bond vibrations and angle bending in a system composed of, say,  flexible [[Water models|water molecules]] ending up in the zero frequency mode of the kinetic energy of the system as a whole (''i.e.'' centre of mass translation); the molecular motions would become frozen, resulting in a ''flying ice cube''. Note that despite the name, this situation is not limited to simulations of water.
*Use a thermostat that reassigns the velocity distribution, rather than rescaling the actual velocities. (see: [[Andersen thermostat]])
This artifact is avoided by using a velocity rescaling thermostat that obeys the balance condition, such as the [[Bussi-Donadio-Parrinello thermostat]].<ref name="Braun et al"/>
*Reduce the frequency of the velocity rescaling.
*Increase the temperature bath coupling parameter. (see: [[Berendsen thermostat]])
==References==
==References==
<references/>
<references/>
;
;Related reading
*[http://dx.doi.org/10.1007/s40436-013-0024-3  Liu-Ming Yan, Chao Sun, Hui-Ting Liu "Opposite phenomenon to the flying ice cube in molecular dynamics simulations of flexible TIP3P water", Advances in Manufacturing '''1''' pp. 160-165 (2013)]
[[category: molecular dynamics]]
[[category: molecular dynamics]]
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