Inference of time irreversibility from incomplete information: Linear systems and its pitfalls DOI Creative Commons
Dario Lucente, Andrea Baldassarri, Andrea Puglisi

et al.

Physical Review Research, Journal Year: 2022, Volume and Issue: 4(4)

Published: Nov. 14, 2022

Data from experiments and theoretical arguments are the two pillars sustaining job of modelling physical systems through inference. In order to solve inference problem, data should satisfy certain conditions that depend also upon particular questions addressed in a research. Here we focus on characterization terms distance equilibrium, typically entropy production (time-reversal asymmetry) or violation Kubo fluctuation-dissipation relation. We show how general, counter-intuitive negative for inference, is problem impossibility estimate equilibrium using series scalar which have Gaussian statistics. This occurs when correlated time, most interesting case because it usually stems multi-dimensional linear Markovian system where there many time-scales associated different variables and, possibly, thermal baths. Observing single variable (or combination variables) results one-dimensional process always indistinguishable an one (unless perturbation-response experiment available). setting only analysis (and not new experiments) allowed, propose - as way out combined use acquired with parameters. strategy works sufficient knowledge connection between experimental parameters model briefly discuss such emerge, similarly, context Markov chains within coarse-graining schemes. Our conclusion related quite fine full phase space, therefore hard approximate real experiments.

Language: Английский

Thermodynamic Inference in Partially Accessible Markov Networks: A Unifying Perspective from Transition-Based Waiting Time Distributions DOI Creative Commons
Jann van der Meer, Benjamin Ertel, Udo Seifert

et al.

Physical Review X, Journal Year: 2022, Volume and Issue: 12(3)

Published: Aug. 12, 2022

The inference of thermodynamic quantities from the description an only partially accessible physical system is a central challenge in stochastic thermodynamics. A common approach coarse-graining, which maps dynamics such to reduced effective one. While coarse-graining states into compound ones well studied concept, recent evidence hints at complementary by considering observable transitions and waiting times. In this work, we consider time distributions between two consecutive Markov network. We formulate entropy estimator using their ratios quantify irreversibility. Depending on complexity underlying network, criteria infer whether recovers full production or it just provides lower bound that improves established results. This conceptual approach, based irreversibility cycles, additionally enables us derive estimators for topology i.e., presence hidden cycle, its number driving affinity. Adopting equivalent semi-Markov description, our results can be condensed fluctuation theorem corresponding process. mathematical perspective unifying framework considered here earlier ones. crucial role correct version time-reversal helps clarify debate meaning formal versus Extensive numerical calculations direct evaluation waiting-time illustrate exact provide estimate quality bounds affinities cycles.

Language: Английский

Citations

72
Variance sum rule for entropy production DOI
Ivan Di Terlizzi, Marta Gironella-Torrent, Diego Herráez-Aguilar

et al.

Science, Journal Year: 2024, Volume and Issue: 383(6686), P. 971 - 976

Published: Feb. 29, 2024

Entropy production is the hallmark of nonequilibrium physics, quantifying irreversibility, dissipation, and efficiency energy transduction processes. Despite many efforts, its measurement at nanoscale remains challenging. We introduce a variance sum rule (VSR) for displacement force variances that permits us to measure entropy rate σ in steady states. first illustrate it directly measurable forces, such as an active Brownian particle optical trap. then apply VSR flickering experiments human red blood cells. find spatially heterogeneous with finite correlation length, average value agrees calorimetry measurements. The paves way derive using spectroscopy time-resolved imaging living matter.

Language: Английский

Citations

29
Macroscopic stochastic thermodynamics DOI
Gianmaria Falasco, Massimiliano Esposito

Reviews of Modern Physics, Journal Year: 2025, Volume and Issue: 97(1)

Published: Jan. 22, 2025

Language: Английский

Citations

5
What to Learn from a Few Visible Transitions’ Statistics? DOI Creative Commons
Pedro E. Harunari, Annwesha Dutta, Matteo Polettini

et al.

Physical Review X, Journal Year: 2022, Volume and Issue: 12(4)

Published: Dec. 7, 2022

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result coarse-graining internal states physical system. However, most experimental apparatuses can only detect set transitions, while system are blurred or inaccessible. Here, we consider an observer who records time series occurrences one several transitions performed by system, under assumption its underlying Markovian. We pose question how use transitions' make inferences dynamical, thermodynamical, and biochemical properties. First, elaborating first-passage techniques, derive analytical expressions for probabilities consecutive elapsed between them, which call intertransition times. Second, lower bound entropy production rate equals sum two non-negative contributions, due statistics second also show when current measured, our estimate still detects irreversibility even in absence net currents transition series. Third, verify results with numerical simulations using unbiased estimates production, available as open-source toolbox. illustrate developed framework experimentally validated biophysical models kinesin dynein molecular motors, minimal model template-directed polymerization. Our reveal entailed successive same type (i.e., repeated transitions), different alternated transitions) probe existence disorder motion motor. Taken all together, highlight power inference ranging thermodynamic quantities network-topology properties Markov processes.10 MoreReceived 26 March 2022Revised 17 August 2022Accepted 29 September 2022DOI:https://doi.org/10.1103/PhysRevX.12.041026Published American Physical Society terms Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasBiomolecular dynamicsEntropy productionFluctuation theoremsNonequilibrium statistical mechanicsStochastic processesStochastic thermodynamicsPhysical SystemsMotor proteinsTechniquesFirst passage problemsStatistical PhysicsBiological Physics

Language: Английский

Citations

58
Model-Free Measurement of Local Entropy Production and Extractable Work in Active Matter DOI Creative Commons
Sunghan Ro, Buming Guo, Aaron Shih

et al.

Physical Review Letters, Journal Year: 2022, Volume and Issue: 129(22)

Published: Nov. 21, 2022

Time-reversal symmetry breaking and entropy production are universal features of nonequilibrium phenomena. Despite its importance in the physics active living systems, systems with many degrees freedom has remained little practical significance because high dimensionality their state space makes it difficult to measure. Here we introduce a local measure numerical protocol estimate it. We establish connection between extractability work given region system show how this quantity depends crucially on being tracked. validate our approach theory, simulation, experiments by considering Brownian particles undergoing motility-induced phase separation, as well E.coli rectifying device which time-reversal asymmetry particle dynamics couples spatial reveal effects macroscopic scale.

Language: Английский

Citations

47
Decomposing the Local Arrow of Time in Interacting Systems DOI
Christopher W. Lynn, Caroline M. Holmes, William Bialek

et al.

Physical Review Letters, Journal Year: 2022, Volume and Issue: 129(11)

Published: Sept. 6, 2022

We show that the evidence for a local arrow of time, which is equivalent to entropy production in thermodynamic systems, can be decomposed. In system with many degrees freedom, there term arises from irreversible dynamics individual variables, and then series non-negative terms contributed by correlations among pairs, triplets, higher-order combinations variables. illustrate this decomposition on simple models noisy logical computations, apply it analysis patterns neural activity retina as responds complex dynamic visual scenes. find breaks detailed balance even when inputs do not, irreversibility primarily interactions between pairs neurons.

Language: Английский

Citations

42
Time-Resolved Statistics of Snippets as General Framework for Model-Free Entropy Estimators DOI
Jann van der Meer, Julius Degünther, Udo Seifert

et al.

Physical Review Letters, Journal Year: 2023, Volume and Issue: 130(25)

Published: June 23, 2023

Irreversibility is commonly quantified by entropy production. An external observer can estimate it through measuring an observable that antisymmetric under time-reversal like a current. We introduce general framework that, inter alia, allows us to infer lower bound on production the time-resolved statistics of events with any symmetry time-reversal, in particular, time-symmetric instantaneous events. emphasize Markovianity as property certain rather than full system and operationally accessible criterion for this weakened Markov property. Conceptually, approach based snippets particular sections trajectories, which generalized detailed balance relation discussed.

Language: Английский

Citations

28
Violation of local detailed balance upon lumping despite a clear timescale separation DOI Creative Commons
David Hartich, Aljaž Godec

Physical Review Research, Journal Year: 2023, Volume and Issue: 5(3)

Published: Aug. 7, 2023

Lumping microstates is a coarse-graining paradigm in stochastic thermodynamics that supposedly gives rise to local detailed balance the presence of timescale separation. It explained why lumped dynamics may generally violate even clear Conversely, can be restored, absence separation, if coarse graining carried out as milestoning.

Language: Английский

Citations

24
Generative learning for nonlinear dynamics DOI
William Gilpin

Nature Reviews Physics, Journal Year: 2024, Volume and Issue: 6(3), P. 194 - 206

Published: Feb. 12, 2024

Language: Английский

Citations

14
Thermodynamic cost for precision of general counting observables DOI Creative Commons
Patrick Pietzonka, Francesco Coghi

Physical review. E, Journal Year: 2024, Volume and Issue: 109(6)

Published: June 11, 2024

We analytically derive universal bounds that describe the tradeoff between thermodynamic cost and precision in a sequence of events related to some internal changes an otherwise hidden physical system. The is quantified by fluctuations either number counted over time or waiting times successive events. Our results are valid for same broad class nonequilibrium driven systems considered uncertainty relation, but they extend both time-symmetric asymmetric observables. show how optimal saturating can be achieved. For waiting-time observables, phase transition configuration arises, where higher achieved combining several signals.

Language: Английский

Citations

13