Fetching the paper…
Reading the bibliography…
For continuous-time Markov chains we prove that, depending on the notion of effective affinity $F$, the probability of an edge current to ever become negative is either $1$ if $F< 0$ else $\sim \exp - F$.
Maes, C., Netočnỳ, K.: Minimum entropy production principle from a dynamical fluctuation law. Journal of mathematical physics 48
2007
Earlier work this paper cites.
Esposito, M., Van den Broeck, C.: Three faces of the second law. i. master equation formulation. Physical Review E 82
2010
Earlier work this paper cites.
Stanley, R.P.: Enumerative combinatorics volume 1 second edition. Cambridge studies in advanced mathematics (2011)
2011
Earlier work this paper cites.
Polettini, M.: Nonequilibrium thermodynamics as a gauge theory. EPL (Europhysics Letters) 97
2012
Earlier work this paper cites.
Ibe, O.: Markov Processes for Stochastic Modeling. Newnes, ??? (2013)
2013
Earlier work this paper cites.
2013
Earlier work this paper cites.
Polettini, M.: Fact-checking ziegler’s maximum entropy production principle beyond the linear regime and towards steady states. Entropy 15
2013
Earlier work this paper cites.
Bauer, M., Cornu, F.: Affinity and fluctuations in a mesoscopic noria. Journal of Statistical Physics 155
2014
Earlier work this paper cites.
Petersen, T.K.: Eulerian numbers. In: Eulerian Numbers, pp. 3–18. Springer, ??? (2015)
2015
Earlier work this paper cites.
Jona-Lasinio, G.: Large deviations and the boltzmann entropy formula. Brazilian journal of probability and statistics 29
2015
Earlier work this paper cites.
Altaner, B., Polettini, M., Esposito, M.: Fluctuation-dissipation relations far from equilibrium. Physical review letters 117
2016
Cited alongside, same era.
Cavina, V., Mari, A., Giovannetti, V.: Optimal processes for probabilistic work extraction beyond the second law. Scientific reports 6
2016
Cited alongside, same era.
Neri, I., Roldán, É., Jülicher, F.: Statistics of infima and stopping times of entropy production and applications to active molecular processes. Physical Review X 7
2017
Cited alongside, same era.
Bisker, G., Polettini, M., Gingrich, T.R., Horowitz, J.M.: Hierarchical bounds on entropy production inferred from partial information. Journal of Statistical Mechanics: Theory and Experiment 2017
2017
Cited alongside, same era.
Ptaszyński, K.: First-passage times in renewal and nonrenewal systems. Physical Review E 97
2018
Neri, I.: Universal tradeoff relation between speed, uncertainty, and dissipation in nonequilibrium stationary states. SciPost Physics 12
2022
Closest in time.
Harunari, P.E., Dutta, A., Polettini, M., Roldán, É.: What to learn from a few visible transitions’ statistics? Physical Review X 12
2022
Closest in time.
Van der Meer, J., Ertel, B., Seifert, U.: Thermodynamic inference in partially accessible markov networks: a unifying perspective from transition-based waiting time distributions. Physical Review X 12
2022
Closest in time.
Polettini, M., Falasco, G., Esposito, M.: Tight uncertainty relations for cycle currents. Physical Review E 106
2022
Closest in time.
Neri, I.: Estimating entropy production rates with first-passage processes. Journal of Physics A: Mathematical and Theoretical 55
2022
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Neri, I., Roldán, É., Pigolotti, S., Jülicher, F.: Integral fluctuation relations for entropy production at stopping times. Journal of Statistical Mechanics: Theory and Experiment 2019
2019
Cited alongside, same era.
Polettini, M., Esposito, M.: Effective fluctuation and response theory. Journal of Statistical Physics 176
2019
Cited alongside, same era.
Maes, C.: Local detailed balance. SciPost Physics Lecture Notes, 032 (2021)
2021
Cited alongside, same era.
2021
Cited alongside, same era.
Penocchio, E.: Thermodynamics of chemical engines: A chemical reaction network approach. PhD thesis, Physics (2022)
2022
Closest in time.
Neri, I., Polettini, M.: Extreme value statistics of edge currents in markov jump processes. submitted to SciPost Physics (2022)
2022
Closest in time.
Harunari, P.E., Garilli, A., Polettini, M.: Beat of a current. Physical Review E 107
2023
Closest in time.
Jiang, Y., Wu, B., Jia, C.: Large deviations and fluctuation theorems for cycle currents defined in the loop-erased and spanning tree manners: a comparative study. Physical Review Research 5
2023
Closest in time.