Thermodynamic Inference in Partially Accessible Markov Networks: A Unifying Perspective from Transition-Based Waiting Time Distributions

Ertel, Benjamin; Seifert, Udo

doi:10.1103/physrevx.12.031025

Cited by 43 publications

(48 citation statements)

References 69 publications

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“…If a network has internal cycles, the densities could exhibit multimodal behaviour. 75 For a second-order semi-Markov process, the waiting time distributions are direction-time dependent. Thus, the mean dwell-times that the system spends at a particular state for the forward and the reverse transitions are not necessarily identical, and a deviation of their ratio from one provides information regarding the irreversible nature of the process.…”

Section: Coarse-graining Lower Bound On the Total Entropy Production ...mentioning

confidence: 99%

“…An estimator based on the KLD between waiting time distributions of the time forward and the time backward transitions between discrete states was shown to provide a lower bound on the total EPR, 64 given that the time-reversal operator does not lead to kinetic hysteresis. [72][73][74][75] Applied to a second-order semi-Markov process, this KLD estimator of the EPR breaks into two contributions, 64 the affinity EPR, EPR aff , which accounts for the net flux and affinity or the thermodynamic force, 68,70 and the waiting-time-distribution (WTD) EPR, EPR WTD , which accounts for the broken time-reversal symmetry in the waiting time distributions. 64 For second-order semi-Markov processes, which naturally emerge when ''lumping'' adjacent states, 64,76 the EPR WTD can provide a lower bound on the total EPR, even when the system does not have any net current observed and EPR aff = 0.…”

Section: Introductionmentioning

confidence: 99%

“…Describing processes by transitions instead of states, 77 the KLD estimator for the EPR was further applied to waiting times in between observed transitions. 75,78 Skinner et al presented new estimators to obtain the lower bound on the entropy production rates using optimization techniques. 79,80 They found an estimator given observables characterizing one-step transitions and two successive transitions, whereas in another publication the authors proposed an estimator given the observed waiting time distributions.…”

Section: Introductionmentioning

confidence: 99%

“…Describing processes by transitions instead of states, 77 the KLD estimator for the EPR was further applied to waiting times in between observed transitions. 75 , 78 …”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

Ghosal

Bisker

2022

Phys. Chem. Chem. Phys.

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Section: Coarse-graining Lower Bound On the Total Entropy Production ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Describing processes by transitions instead of states, 77 the KLD estimator for the EPR was further applied to waiting times in between observed transitions. 75 , 78 …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

Ghosal

Bisker

2022

Phys. Chem. Chem. Phys.

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“…Furthermore, as proven in Ref. [87], when the hidden network either has no cycles or satisfies detailed balance, σ t vanishes and σ L = σ The current is defined as the number of times the system jumps from a given state to another one, without going through any other states in between, minus the number of opposite jumps.…”

Section: Visible Irreversibilitymentioning

confidence: 98%

O papel do tempo em fenômenos fora do equilíbrio: coarse-graining por transições, transições de fase e máquinas térmicas

Harunari¹

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This thesis and all the work done during my Ph.D. would not be possible without the academic and non-academic contribution of many people I was lucky enough to come across.First and foremost, my wife Maria Angélica, with whom I grew up together in every possible sense, for the mutual and timely attractive forces, and for emphasizing the lyricism of the world. You are a constant smile in the best memories and a shoulder in the worst, your kind heart and beautiful mind are inspiring. I hope you experience immeasurable happiness in your life. Prepare for our many adventures to come.A bit of Portuguese now: meus incríveis pais Eduardo e Cecília, vó e bachan, cujos generosos e incessantes esforc ¸os foram fundamentais. Sempre que sentirem orgulho de mim, sintam de vocês também. Meus irmãos Fábio e Paulo, tios, primos, sogros, cunhadas, sobrinhos, cachorras e todo o resto da família, por todas as relac ¸ões de apoio, carinho e muita diversão.My supervisor Fiore, for his always sincere advice that contributed to my development in several aspects, including learning how to study, research, and behave as a physicist should.Matteo, who fortuitously became something of a mentor to me, for the unexpected amount of trust and the large amount of shared knowledge. Mário de Oliveira, for inspiring and introducing me to physics research. And Landi, for getting me back on track when I got the closest to quitting.With my friends I shared several discussions about physics and science, but all the fun moments were very important to keep up with the studies. Pedro and Luís, for our rare and constant friendship, in which we always try and improve each other with companionship, honesty, and rationality. During this period I was also fortunate enough to have Ariel, Isa and G ülce as best friends, three brilliant and inspiring human beings. And the list goes on with Mayhara, Irem, Rongrong, Lufê, Mari, Lefundes, Gustavo, and definitely many more.In the meantime, I greatly benefitted from scientific visits, and for that I am thankful to Massimiliano, his excellent group at the University of Luxembourg, Édgar, and Jukka.The life at the University of São Paulo, the department, the research group, all professors, colleagues and employees, meals at bandejão, coffees, parties, Tubatuque presentations, classes, discussions, and time spent at the campus will be fondly remembered. Fundac ¸ão Antônio e Helena Zerrenner, ETWB teachers and staff, for providing me with high-quality free-of-cost education, without which I would not be able to enroll in such a prestigious university.I acknowledge the São Paulo Research Foundation (FAPESP) for the financial support through grants #2017/24567-0 and #2020/03708-8 and, above all, for giving the most stable grants in Brazil, even in difficult times; the foundation approach to scientific funding is exemplary. I am thankful to the examining committee, a set of physicists that I greatly admire that contributed with comments and insightful discussions. Lastly, I have to cite Milton Nascimento, for all the hours ...

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Multicyclic Norias: A First-Transition Approach to Extreme Values of the Currents

Polettini,

Neri

2024

J Stat Phys

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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 $$F< 0$$ F < 0 else $$\sim \exp - F$$ ∼ exp - F . The result generalizes a “noria” formula to multicyclic networks. We give operational insights on the effective affinity and compare several estimators, arguing that stopping problems may be more accurate in assessing the nonequilibrium nature of a system according to a local observer. Finally we elaborate on the similarity with the Boltzmann formula. The results are based on a constructive first-transition approach.

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Thermodynamic Inference in Partially Accessible Markov Networks: A Unifying Perspective from Transition-Based Waiting Time Distributions

Cited by 43 publications

References 69 publications

Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

Inferring entropy production rate from partially observed Langevin dynamics under coarse-graining

O papel do tempo em fenômenos fora do equilíbrio: coarse-graining por transições, transições de fase e máquinas térmicas

Multicyclic Norias: A First-Transition Approach to Extreme Values of the Currents

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