Journal
MOLECULAR PHYSICS
Volume 108, Issue 10, Pages 1337-1347Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00268971003689923
Keywords
Nose-Hoover thermostat; molecular dynamics; canonical ensemble; non-Hamiltonian dynamics
Funding
- Next Generation Super Computing Project
- Nanoscience Program, Japan
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A systematic algorithm to design multiple thermostat systems in the framework of the Nose-Hoover type non-Hamiltonian formulation is presented. Using 'non uniform' time transformations in a generalised Hamiltonian equation, we develop the non-Hamiltonian equations of motion for multiple thermostat systems having an arbitrary number of thermostats and arbitrary connections between a physical system and thermostats ('Nose'-Hoover network'). We then present the algorithm to construct the Nose-Hoover network equations based on a simple diagram only. On the basis of this algorithm, recursively attached Nose-Hoover thermostats are introduced as an example of the Nose-Hoover network and its high efficiency in sampling the canonical distribution for an one-dimensional double-well system is illustrated by numerical calculations.
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