Kramers turnover theory

E415084

reaction rate theory theoretical framework

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.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (7)

Label	Occurrences
Kramers turnover	2
Kramers rate theory	1
Kramers theory of activated rate processes	1
Kramers turnover theory canonical	1
Kramers turnover theory in reaction-rate theory	1
Mel’nikov–Meshkov theory	1
Pollak–Grabert–Hänggi turnover formula	1

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 turnover theory self-linksurface differs ⓘ surface form: 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 turnover theory self-linksurface differs ⓘ surface form: Kramers rate theory Kramers turnover theory self-linksurface differs ⓘ surface form: Mel’nikov–Meshkov theory Kramers turnover theory self-linksurface differs ⓘ surface form: Pollak–Grabert–Hänggi turnover formula transition state theory ⓘ
timePeriod	20th century ⓘ
usesModel	Fokker–Planck equation ⓘ Langevin dynamics ⓘ surface form: Langevin equation

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 theory ⓘ

this entity surface form: Kramers turnover

Kramers → knownFor → Kramers turnover theory ⓘ

subject surface form: Hendrik Anthony Kramers

this entity surface form: Kramers turnover theory in reaction-rate theory

Kramers → hasEponymousConcept → Kramers turnover theory ⓘ

this entity surface form: Kramers turnover

Kramers turnover theory → basedOn → Kramers turnover theory self-linksurface differs ⓘ

this entity surface form: Kramers theory of activated rate processes

Kramers turnover theory → relatedTo → Kramers turnover theory self-linksurface differs ⓘ

this entity surface form: Kramers rate theory

Kramers turnover theory → relatedTo → Kramers turnover theory self-linksurface differs ⓘ

this entity surface form: Mel’nikov–Meshkov theory

Kramers turnover theory → relatedTo → Kramers turnover theory self-linksurface differs ⓘ

this entity surface form: Pollak–Grabert–Hänggi turnover formula