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- W1969133415 abstract "The purpose of this note is to derive a quantum-mechanical analog of Bell's formula, which describes the sensitivity of a chemical reaction to a mechanical pulling force. According to this formula, the reaction rate depends exponentially on the force f, i.e., k( f ) ∼ exp( f / fc), where the force scale fc is estimated as the thermal energy kBT divided by a distance a between the reactant and transition states along the pulling coordinate. Here I use instanton theory to show that, at low temperatures where quantum tunneling is dominant, this force scale becomes fc ∼ ℏω/a (in the limit where frictional damping is absent) or fc ∼ ℏτ−1/a (in the strong damping limit). Here ω is a characteristic vibration frequency along the pulling coordinate and τ is a characteristic relaxation time in the reactant state. That is, unlike the classical case where fc is unaffected by dissipation, this force scale becomes friction dependent in the quantum limit. I further derive higher-order corrections in the force dependence of the rate, describe generalizations to many degrees of freedom, and discuss connection to other quantum rate theories." @default.
- W1969133415 created "2016-06-24" @default.
- W1969133415 creator A5058605984 @default.
- W1969133415 date "2011-11-21" @default.
- W1969133415 modified "2023-10-18" @default.
- W1969133415 title "The effect of a mechanical force on quantum reaction rate: Quantum Bell formula" @default.
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- W1969133415 doi "https://doi.org/10.1063/1.3661157" @default.
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