English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse
  1. View item / 
  2. Item Summary

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Preprint

Violation of Local Detailed Balance Despite a Clear Time-Scale Separation

MPS-Authors

Hartich,  D
Research Group of Mathematical Biophysics, Max Planck Institute for Multidisciplinary Sciences, Max Planck Society;

/persons/resource/persons206062

Godec,  A.
Research Group of Mathematical Biophysics, Max Planck Institute for Multidisciplinary Sciences, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
Supplementary Material (public)
There is no public supplementary material available
Citation

Hartich, D., & Godec, A. (2021). Violation of Local Detailed Balance Despite a Clear Time-Scale Separation. arXiv. doi:10.48550/arXiv.2111.14734.


Cite as: https://hdl.handle.net/21.11116/0000-000B-31C4-0
Abstract
Integrating out fast degrees of freedom is known to yield, to a good approximation, memory-less,
i.e. Markovian, dynamics. In the presence of such a time-scale separation local detailed balance is
believed to emerge and to guarantee thermodynamic consistency arbitrarily far from equilibrium.
Here we present a transparent example of a Markov model of a molecular motor where local detailed
balance can be violated despite a clear time-scale separation and hence Markovian dynamics. Driving
the system far from equilibrium can lead to a violation of local detailed balance against the driving
force. We further show that local detailed balance can be restored, even in the presence of memory,
if the coarse-graining is carried out as Milestoning. Our work establishes Milestoning not only as
a kinetically but for the first time also as a thermodynamically consistent coarse-graining method.
Our results are relevant as soon as individual transition paths are appreciable or can be resolved.