deeptime.markov.tools.flux.to_netflux

deeptime.markov.tools.flux.to_netflux(flux)

Compute the netflux from the gross flux.

Parameters:

flux ((M, M) ndarray) – Matrix of flux values between pairs of states.

Returns:

netflux – Matrix of netflux values between pairs of states.

Return type:

(M, M) ndarray

Notes

The netflux or effective current is defined as

$$f_{ij}^{+}=\max \{ f_{ij}-f_{ji}, 0 \},$$

see [1].

$f_{ij}$ is the flux for the transition from $A$ to $B$.

References

[1]

P. Metzner, C. Schuette and E. Vanden-Eijnden. Transition Path Theory for Markov Jump Processes. Multiscale Model Simul 7: 1192-1219 (2009)