TY - JOUR
T1 - Thermodynamic uncertainty relation for first-passage times on Markov chains
AU - Pal, Arnab
AU - Reuveni, Shlomi
AU - Rahav, Saar
N1 - Publisher Copyright:
© 2021 authors. Published by the American Physical Society
PY - 2021/8
Y1 - 2021/8
N2 - We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional transitions, to provide a lower bound on FPT fluctuations. As every bidirectional transition can also be seen as a pair of separate unidirectional ones, our approach typically yields an ensemble of TURs. The tightest bound on FPT fluctuations can then be obtained from this ensemble by a simple and physically motivated optimization procedure. The results presented herein are valid for arbitrary initial conditions, out-of-equilibrium dynamics, and are therefore well suited to describe the inherently irreversible first-passage event. They can thus be readily applied to a myriad of first-passage problems that arise across a wide range of disciplines.
AB - We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional transitions, to provide a lower bound on FPT fluctuations. As every bidirectional transition can also be seen as a pair of separate unidirectional ones, our approach typically yields an ensemble of TURs. The tightest bound on FPT fluctuations can then be obtained from this ensemble by a simple and physically motivated optimization procedure. The results presented herein are valid for arbitrary initial conditions, out-of-equilibrium dynamics, and are therefore well suited to describe the inherently irreversible first-passage event. They can thus be readily applied to a myriad of first-passage problems that arise across a wide range of disciplines.
UR - http://www.scopus.com/inward/record.url?scp=85114192590&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.3.L032034
DO - 10.1103/PhysRevResearch.3.L032034
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AN - SCOPUS:85114192590
SN - 2643-1564
VL - 3
JO - Physical Review Research
JF - Physical Review Research
IS - 3
M1 - L032034
ER -