Kramers turnover theory

E415084

Kramers turnover theory is a foundational concept in chemical physics that describes how reaction rates depend on friction or solvent viscosity, predicting a maximum (turnover) as friction varies.

All labels observed (7)

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Statements (48)

Predicate Object
instanceOf reaction rate theory ⓘ
theoretical framework ⓘ
addresses breakdown of simple transition state theory at finite friction ⓘ
effect of solvent dynamics on reaction rates ⓘ
appliesTo Brownian motion in a double‑well potential ⓘ
activated chemical reactions in solution ⓘ
barrier crossing in a potential energy landscape ⓘ
escape of a particle over a potential barrier ⓘ
assumes coupling of reaction coordinate to a heat bath ⓘ
thermal equilibrium of the bath ⓘ
basedOn Kramers theory of activated rate processes ⓘ
category stochastic dynamics theories ⓘ
theories of chemical reaction rates ⓘ
concerns escape rate over a potential barrier in presence of friction ⓘ
describes dependence of reaction rates on friction ⓘ
dependence of reaction rates on solvent viscosity ⓘ
explains why increasing friction can first increase and then decrease reaction rates ⓘ
field chemical physics ⓘ
physical chemistry ⓘ
statistical mechanics ⓘ
importantFor design of reactions in condensed phases ⓘ
interpretation of reaction dynamics in solutions ⓘ
nanoscopic and mesoscopic transport processes ⓘ
understanding protein folding barrier crossing ⓘ
influenced modern theories of dissipative quantum tunneling ⓘ
stochastic reaction–diffusion modeling ⓘ
keyConcept dissipative environment ⓘ
friction coefficient ⓘ
high‑friction (spatial‑diffusion) regime ⓘ
low‑friction (energy‑diffusion) regime ⓘ
rate constant ⓘ
reaction coordinate ⓘ
solvent viscosity ⓘ
thermal noise ⓘ
turnover region between low and high friction ⓘ
mathematicallyCharacterizedBy rate as a function of friction with a single maximum ⓘ
predicts existence of a maximum reaction rate as friction varies ⓘ
non‑monotonic variation of reaction rate with friction ⓘ
turnover from energy‑diffusion control to spatial‑diffusion control ⓘ
relatedTo Grote–Hynes theory ⓘ
Hendrik Anthony Kramers ⓘ
Kramers rate theory ⓘ
Mel’nikov–Meshkov theory ⓘ
Pollak–Grabert–Hänggi turnover formula ⓘ
transition state theory ⓘ
timePeriod 20th century ⓘ
usesModel Fokker–Planck equation ⓘ
Langevin equation ⓘ
linked to: Langevin dynamics

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Referenced by (8)

Full triples — surface form annotated when it differs from this entity's canonical label.

Hendrik Anthony Kramers → notableWork → Kramers turnover theory ⓘ
Hendrik Anthony Kramers → hasEponym → Kramers turnover ⓘ
linked to: Kramers turnover theory
Hendrik Anthony Kramers → knownFor → Kramers turnover theory in reaction-rate theory ⓘ
subject linked to: Kramers
linked to: Kramers turnover theory
Kramers → hasEponymousConcept → Kramers turnover ⓘ
linked to: Kramers turnover theory
Kramers turnover theory → basedOn → Kramers theory of activated rate processes ⓘ
linked to: Kramers turnover theory
Kramers turnover theory → relatedTo → Kramers rate theory ⓘ
linked to: Kramers turnover theory
Kramers turnover theory → relatedTo → Mel’nikov–Meshkov theory ⓘ
linked to: Kramers turnover theory
Kramers turnover theory → relatedTo → Pollak–Grabert–Hänggi turnover formula ⓘ
linked to: Kramers turnover theory