2. What is TST?
“Transition State Theory is the
oldest attempt to describe
metastability in ergodic systems.”
E. Weinan and E. Vanden-Eijnden. Metastability, conformation dynamics,
and transition ways in complex systems. 2004
3. “Transition State Theory is the oldest attempt to
describe metastability in ergodic systems.”
Momentum
Mass
Position
Acceleration
Potential energy
4. “Transition State Theory is the oldest attempt to
describe metastability in ergodic systems.”
C
TST simplification:
8. “Transition State Theory is the oldest attempt to
describe metastability in ergodic systems.”
Ergodic theorem
IF
Then
Just think of Jack… he is not always wearing
q shoes, nor he is not always without them… he
continuously keeps changing from one state to
the other.
9. “Transition State Theory is the oldest attempt to
describe metastability in ergodic systems.”
“Rate of reaction is the rate of change in the concentration of one of the
reactants or products”
N. E. Henriksen and F. Y. Hansen. Theories of Molecular Reaction Dynamics. 2008
12. Ergodicity
Metastable
Assuming Gibbs
distribution
13. Ergodicity
Metastable
Assuming Gibbs
distribution
14. “Transition State Theory is the oldest attempt to
describe metastability in ergodic systems.”
Original papers from 1935, 1938. Several issues have been
addressed, and current research involves techniques on:
1. Dividing surfaces
2. Transition path sampling, reactive trajectories
C
q
3. Finite String and MCMC methods
15. No Jack was hurt during the making of this presentation.