pith. sign in

arxiv: 2606.07268 · v1 · pith:KUGNNHWMnew · submitted 2026-06-05 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

Modelling time-irreversible avalanches

Andrea Baldassarri , Andrea Puglisi This is my paper

Pith reviewed 2026-06-27 20:36 UTC · model grok-4.3

classification ❄️ cond-mat.stat-mech cond-mat.dis-nn
keywords time-irreversible avalanchesavalanche asymmetryentropy productionnon-equilibrium dynamicscrackling noisegranular frictionstochastic thermodynamics
0
0 comments X

The pith

A non-equilibrium extension of the ABBM model correlates an easy-to-measure avalanche asymmetry with entropy production rates.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper investigates why avalanches in systems ranging from magnetic materials to earthquakes often display asymmetric average shapes, a feature that signals non-equilibrium dynamics but has lacked general theoretical control. It introduces a non-equilibrium extension of the standard ABBM model for crackling noise, which reproduces the phenomenology seen in granular friction experiments. This construction makes possible a direct correlation between a simple asymmetry measure computable from observed avalanche shapes and the entropy production rates of the underlying dynamics. A sympathetic reader would care because the link turns an observable shape feature into a practical indicator of time-irreversibility without requiring complete knowledge of system trajectories.

Core claim

The paper establishes that the non-equilibrium extension of the ABBM model, framed via the Brownian Gyrator, reproduces experimental avalanche phenomenology in granular friction and yields a correlation between an easily computed measure of avalanche-shape asymmetry and the entropy production rates of the stochastic dynamics, thereby providing theoretical control over time-reversal symmetry breaking in fluctuations.

What carries the argument

The non-equilibrium extension of the ABBM model, which enables systematic calculation of avalanche asymmetry as a function of the underlying entropy production.

If this is right

  • Avalanche asymmetry becomes a practical experimental proxy for entropy production in crackling-noise systems.
  • The model supplies a systematic way to study how time-reversal symmetry breaking appears in average avalanche shapes across multiple physical realizations.
  • Theoretical predictions for asymmetry can be tested directly against data from magnetic materials, earthquakes, and granular flows.
  • Entropy production rates can be inferred from shape observables even when full phase-space trajectories remain inaccessible.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same asymmetry-entropy link could be checked in other driven systems that exhibit crackling but were not modeled here.
  • Simulations could test whether the correlation survives when additional microscopic details, such as spatial structure, are restored to the model.
  • Experimental protocols could be designed to extract entropy production solely from the leading and trailing edges of recorded avalanches.

Load-bearing premise

The non-equilibrium extension of the ABBM model is assumed to capture the essential time-irreversible features of real systems such as granular friction.

What would settle it

If experiments on granular friction show that the measured avalanche asymmetry does not correlate with independent estimates of entropy production rates, the claimed relationship would not hold.

Figures

Figures reproduced from arXiv: 2606.07268 by Andrea Baldassarri, Andrea Puglisi.

Figure 1
Figure 1. Figure 1: Given a stochastic signal, an avalanche (red, panel [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Average shapes for model (left) and granular experi [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: Maximal skewness of the shape observed as a func [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Comparison of normalized average shapes for bridges (analytical) in red, and avalanche (numerical) in black. Param [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Average shapes (a and c) and corresponding skewness (b and d) as a function of bridge duration [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 1
Figure 1. Figure 1: FIG. 1. Set of parameters considered for the study of maximal skewness of the thermal BG, for a total of 100 [PITH_FULL_IMAGE:figures/full_fig_p011_1.png] view at source ↗
read the original abstract

We investigate the problem of the time reversal symmetry of fluctuations, as witnessed by the average shape of avalanches. This quantity has been measured in a variety of systems, ranging from magnetic materials to earthquakes. Although an asymmetric shape is often observed, which is a signature of a non-equilibrium dynamics, there is no general theoretical control of this feature. In this paper, we propose a non equilibrium extension of a paradigmatic model for ``crackling-noise'', the so called ABBM model. Our model is strictly related to the Brownian Gyrator, which has been previously introduced in stochastic thermodynamics as the simplest model for thermal anisotropy, but it can also be framed in the context of rate-and-state models. It reproduces the phenomenology observed in experiments on granular friction, and allows for a systematic theoretical study of the asymmetry. We manage to correlate a measure of asymmetry, that can be easily computed in experiments, with the entropy production rates of the dynamics.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript proposes a non-equilibrium extension of the ABBM model for crackling noise, framed via the Brownian Gyrator (or rate-and-state dynamics), to study time-reversal symmetry breaking as seen in the average shape of avalanches. It claims the extension reproduces granular friction phenomenology and derives a correlation between an easily measured asymmetry measure and entropy production rates.

Significance. If the correlation is derived rigorously inside the model and the modeling assumptions map to real dissipation mechanisms, the work would link an experimental observable (avalanche shape asymmetry) to a thermodynamic quantity (entropy production) in non-equilibrium systems, extending stochastic thermodynamics ideas to crackling noise.

major comments (2)
  1. Abstract: the assertion that the model 'reproduces the phenomenology observed in experiments on granular friction' is stated without any cited parameter values, quantitative metrics, or references to specific figures or tables showing agreement with data, which is load-bearing for the claim that the asymmetry-entropy correlation applies beyond the model.
  2. Abstract / modeling section: the non-equilibrium ABBM extension is assumed to capture the essential time-irreversible features of real granular avalanches via stochastic anisotropy; if this choice does not match the dominant irreversibility source, the derived correlation between shape asymmetry and entropy production does not transfer to experiments.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thoughtful comments on our manuscript. We address each major point below and indicate where revisions will be made to strengthen the presentation.

read point-by-point responses

  1. Referee: Abstract: the assertion that the model 'reproduces the phenomenology observed in experiments on granular friction' is stated without any cited parameter values, quantitative metrics, or references to specific figures or tables showing agreement with data, which is load-bearing for the claim that the asymmetry-entropy correlation applies beyond the model.

    Authors: We agree the abstract statement is insufficiently supported as written. The full manuscript contains qualitative comparisons to granular friction experiments (avalanche asymmetry and shape) in the results section, with references to relevant experimental works. We will revise the abstract to include explicit references to those sections, figures, and citations, and add a brief mention of the level of agreement achieved. revision: yes

  2. Referee: Abstract / modeling section: the non-equilibrium ABBM extension is assumed to capture the essential time-irreversible features of real granular avalanches via stochastic anisotropy; if this choice does not match the dominant irreversibility source, the derived correlation between shape asymmetry and entropy production does not transfer to experiments.

    Authors: The stochastic anisotropy is introduced via the Brownian Gyrator/rate-and-state framing precisely because it provides a minimal, analytically tractable source of time-reversal symmetry breaking that reproduces key features of driven frictional systems. The correlation between asymmetry and entropy production is derived rigorously inside this model class. We discuss the physical motivation and limitations of the assumption in the modeling section; while other irreversibility mechanisms could dominate in some experiments, the derived relation remains valid for systems well-described by this dynamics. revision: no

Circularity Check

0 steps flagged

No circularity: model-derived correlation is independent of inputs

full rationale

The provided abstract and context describe a non-equilibrium ABBM extension (Brownian Gyrator framing) whose asymmetry-entropy correlation is obtained inside the model. No equations, self-citations, or fitted-parameter renamings are quoted that would reduce the claimed correlation to a definition or input by construction. The derivation chain is therefore self-contained against external benchmarks; the model-to-experiment transfer is an assumption, not a circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available; no explicit free parameters, axioms, or invented entities can be extracted or audited from the provided text.

pith-pipeline@v0.9.1-grok · 5690 in / 1118 out tokens · 30709 ms · 2026-06-27T20:36:49.599233+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

70 extracted references · 2 canonical work pages · 1 internal anchor

  1. [1]

    Aspect, F

    A. Aspect, F. Bouchet, ´E. Brunet, C. Cohen-Tannoudji, J. Dalibard, T. Damour, O. Darrigol, B. Derrida, P. Grangier, F. Lalo¨ e,et al., Einstein aujourd’hui, inEin- stein aujourd’hui(EDP sciences, 2021)

    2021

  2. [2]

    Sarracino, A

    A. Sarracino, A. Puglisi, and A. Vulpiani,Nonequilib- rium Statistical Mechanics: Basic concepts, models and applications(IOP Publishing, 2025)

    2025

  3. [3]

    J. P. Sethna, K. A. Dahmen, and C. R. Myers, Crackling noise, Nature410, 242 (2001)

    2001

  4. [4]

    Zapperi,Crackling noise: statistical physics of avalanche phenomena(Oxford University Press, 2022)

    S. Zapperi,Crackling noise: statistical physics of avalanche phenomena(Oxford University Press, 2022)

    2022

  5. [5]

    Bertotti,Hysteresis in Magnetism(Academic Press, 1998)

    G. Bertotti,Hysteresis in Magnetism(Academic Press, 1998)

    1998

  6. [6]

    Spasojevi´ c, S

    D. Spasojevi´ c, S. Bukvi´ c, S. Miloˇ sevi´ c, and H. E. Stanley, Barkhausen noise: Elementary signals, power laws, and scaling relations, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics54, 2531 (1996)

    1996

  7. [7]

    A. P. Mehta, A. C. Mills, K. A. Dahmen, and J. P. Sethna, Universal pulse shape scaling function and ex- ponents: Critical test for avalanche models applied to Barkhausen noise, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics65, 6 (2002), arXiv:0112107 [cond-mat]

    2002

  8. [8]

    Baldassarri, F

    A. Baldassarri, F. Colaiori, and C. Castellano, Average Shape of a Fluctuation: Universality in Excursions of Stochastic Processes, Physical Review Letters90, 60601 (2003)

    2003

  9. [9]

    Colaiori, Exactly solvable model of avalanches dynam- ics for Barkhausen crackling noise, Advances in Physics 57, 287 (2008)

    F. Colaiori, Exactly solvable model of avalanches dynam- ics for Barkhausen crackling noise, Advances in Physics 57, 287 (2008)

    2008

  10. [10]

    Papanikolaou, F

    S. Papanikolaou, F. Bohn, R. L. Sommer, G. Durin, S. Zapperi, and J. P. Sethna, Universality beyond power laws and the average avalanche shape, Nature Physics7, 316 (2011)

    2011

  11. [11]

    Le Doussal and K

    P. Le Doussal and K. J. Wiese, Distribution of veloci- ties in an avalanche, Europhys. Lett.97, 46004 (2012), arXiv:1104.2629

    Pith/arXiv arXiv 2012

  12. [12]

    Baldassarri, Universal excursion and bridge shapes in abbm/cir/bessel processes, Journal of Statistical Me- chanics: Theory and Experiment2021, 083211 (2021)

    A. Baldassarri, Universal excursion and bridge shapes in abbm/cir/bessel processes, Journal of Statistical Me- chanics: Theory and Experiment2021, 083211 (2021)

    2021

  13. [13]

    D. C. Chrzan and M. J. Mills, Criticality in the plas- tic deformation of L12 intermetallic compounds, Physical Review B50, 30 (1994). 6

    1994

  14. [14]

    Antonaglia, W

    J. Antonaglia, W. J. Wright, X. Gu, R. R. Byer, T. C. Hufnagel, M. LeBlanc, J. T. Uhl, and K. A. Dahmen, Bulk metallic glasses deform via slip avalanches, Phys. Rev. Lett.112, 155501 (2014)

    2014

  15. [15]

    C. Liu, E. E. Ferrero, F. Puosi, J.-L. Barrat, and K. Martens, Driving rate dependence of avalanche statis- tics and shapes at the yielding transition, Phys. Rev. Lett.116, 065501 (2016)

    2016

  16. [16]

    A. E. Lagogianni, C. Liu, K. Martens, and K. Samwer, Plastic avalanches in the so-called elastic regime of metal- lic glasses, The European Physical Journal B91, 104 (2018)

    2018

  17. [17]

    Sparks and R

    G. Sparks and R. Maaß, Shapes and velocity relaxation of dislocation avalanches in au and nb microcrystals, Acta Materialia152, 86 (2018)

    2018

  18. [18]

    Sparks, J

    G. Sparks, J. Sickle, K. Dahmen, and R. Maaß, Shapes and velocity relaxation of dislocation avalanches in fcc and bcc crystals, arXiv:1705.06636 (2017)

    Pith/arXiv arXiv 2017

  19. [19]

    L. Z. T´ oth, E. Bronstein, L. Dar´ oczi, D. Shilo, and D. L. Beke, Scaling of Average Avalanche Shapes for Acoustic Emission during Jerky Motion of Single Twin Bound- ary in Single-Crystalline Ni2MnGa, Materials16, 2089 (2023)

    2089

  20. [20]

    Vu and J

    C.-C. Vu and J. Weiss, Asymmetric Damage Avalanche Shape in Quasibrittle Materials and Subavalanche (Af- tershock) Clusters, Physical Review Letters125, 105502 (2020)

    2020

  21. [21]

    Houston, H

    H. Houston, H. M. Benz, and J. E. Vidale, Time func- tions of deep earthquakes from broadband and short- period stacks, Journal of Geophysical Research103, 29895 (1998)

    1998

  22. [22]

    Bar´ es, M

    J. Bar´ es, M. Hattali, D. Dalmas, and D. Bonamy, Fluctu- ations of Global Energy Release and Crackling in Nom- inally Brittle Heterogeneous Fracture, Physical Review Letters113, 264301 (2014)

    2014

  23. [23]

    A. P. Mehta, K. A. Dahmen, and Y. Ben-Zion, Universal mean moment rate profiles of earthquake ruptures, Phys. Rev. E73, 056104 (2006)

    2006

  24. [24]

    Gallotti and D

    R. Gallotti and D. R. Chialvo, How ants move: individual and collective scaling properties, Journal of The Royal Society Interface15(2018)

    2018

  25. [25]

    B. Wang, J. Kuo, and S. Granick, Bursts of active trans- port in living cells, Physical Review Letters111, 208102 (2013), publisher: American Physical Society

    2013

  26. [26]

    M. L. Gibiansky, W. Hu, K. A. Dahmen, W. Shi, and G. C. L. Wong, Earthquake-like dynamics inMyxococ- cus xanthussocial motility, Proceedings of the National Academy of Sciences110, 2330 (2013)

    2013

  27. [27]

    Friedman, S

    N. Friedman, S. Ito, B. A. Brinkman, M. Shimono, R. E. Deville, K. A. Dahmen, J. M. Beggs, and T. C. Butler, Universal critical dynamics in high resolution neuronal avalanche data, Physical Review Letters108, 1 (2012)

    2012

  28. [28]

    J. A. Roberts, K. K. Iyer, S. Finnigan, S. Vanhatalo, and M. Breakspear, Scale-Free Bursting in Human Cortex fol- lowing Hypoxia at Birth, The Journal of Neuroscience 34, 6557 LP (2014)

    2014

  29. [29]

    K. K. Iyer, J. A. Roberts, L. Hellstr¨ om-Westas, S. Wik- str¨ om, I. Hansen Pupp, D. Ley, S. Vanhatalo, and M. Breakspear, Cortical burst dynamics predict clinical outcome early in extremely preterm infants, Brain138, 2206 (2015), https://academic.oup.com/brain/article- pdf/138/8/2206/13799903/awv129.pdf

    2015

  30. [30]

    Wikstro, K

    S. Wikstro, K. K. Iyer, J. A. Roberts, L. Hellstro, I. H. Pupp, D. Ley, S. Vanhatalo, and M. Breakspear, Corti- cal burst dynamics predict clinical outcome early in ex- tremely preterm infants, Brain138, 2206 (2015)

    2015

  31. [31]

    J. P. Gleeson and R. Durrett, Temporal profiles of avalanches on networks, Nature Communications8, 1227 (2017)

    2017

  32. [32]

    A. J. Fontenele, N. A. De Vasconcelos, T. Feliciano, L. A. Aguiar, C. Soares-Cunha, B. Coimbra, L. Dalla Porta, S. Ribeiro, A. J. Rodrigues, N. Sousa, P. V. Carelli, and M. Copelli, Criticality between Cortical States, Physical Review Letters122, 208101 (2019), publisher: American Physical Society

    2019

  33. [33]

    Y. Tian, Z. Tan, H. Hou, G. Li, A. Cheng, Y. Qiu, K. Weng, C. Chen, and P. Sun, Theoretical foundations of studying criticality in the brain, Network Neuroscience , 1 (2022)

    2022

  34. [34]

    Alvankar Golpayegan and A

    H. Alvankar Golpayegan and A. de Candia, Bistability and criticality in the stochastic Wilson-Cowan model, Physical Review E107, 034404 (2023), publisher: Amer- ican Physical Society

    2023

  35. [35]

    Capek, T

    E. Capek, T. L. Ribeiro, P. Kells, K. Srinivasan, S. R. Miller, E. Geist, M. Victor, A. Vakili, S. Pajevic, D. R. Chialvo, and D. Plenz, Parabolic avalanche scaling in the synchronization of cortical cell assemblies, Nature Com- munications14, 2555 (2023)

    2023

  36. [36]

    Zaccariello, H

    R. Zaccariello, H. J. Herrmann, A. Sarracino, S. Zapperi, and L. De Arcangelis, Inhibitory neurons and the asym- metric shape of neuronal avalanches, Physical Review E 111, 024133 (2025)

    2025

  37. [37]

    de Candia, D

    A. de Candia, D. Conte, H. A. Golpayegan, and S. Scar- petta, Symmetry breaking and avalanche shapes in mod- ular neural networks, Frontiers in Computational Neuro- science20, 10.3389/fncom.2026.1744991 (2026)

    work page doi:10.3389/fncom.2026.1744991 2026

  38. [38]

    Consolini, P

    G. Consolini, P. De Michelis, and R. Tozzi, On the Earth’s magnetospheric dynamics: Nonequilibrium evo- lution and the fluctuation theorem, Journal of Geophys- ical Research: Space Physics113, 1 (2008)

    2008

  39. [39]

    M. A. Sheikh, R. L. Weaver, and K. A. Dahmen, Avalanche statistics identify intrinsic stellar processes near criticality in kic 8462852, Phys. Rev. Lett.117, 261101 (2016)

    2016

  40. [40]

    Baldassarri, M

    A. Baldassarri, M. A. Annunziata, A. Gnoli, G. Pontuale, and A. Petri, Breakdown of Scaling and Friction Weak- ening in Intermittent Granular Flow, Scientific Reports 9, 16962 (2019)

    2019

  41. [41]

    Sickle, G

    J. Sickle, G. H. Myers, K. Gausling, E. Mullen, A. Shah, S. Kawaler, and K. A. Dahmen, Interpreting luminos- ity bursts in a kepler-measured zz ceti using avalanche statistics, Phys. Rev. D112, 063059 (2025)

    2025

  42. [42]

    Filliger and P

    R. Filliger and P. Reimann, Brownian gyrator: A mini- mal heat engine on the nanoscale, Physical review letters 99, 230602 (2007)

    2007

  43. [43]

    Stochastic thermodynamics, fluctuation theorems, and molecular machines

    U. Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Reports on Progress in Physics75, 10.1088/0034-4885/75/12/126001 (2012), arXiv:1205.4176

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/0034-4885/75/12/126001 2012

  44. [44]

    Alessandro, C

    B. Alessandro, C. Beatrice, G. Bertotti, and A. Montorsi, Domain-wall dynamics and Barkhausen effect in metallic ferromagnetic materials. I. Theory, Journal of Applied Physics68, 2901 (1990)

    1990

  45. [45]

    J. H. Dieterich, Time-dependent friction and the mechan- ics of stick-slip, pure and applied geophysics116, 790 (1978)

    1978

  46. [46]

    J. R. Rice and A. L. Ruina, Stability of Steady Frictional Slipping, Journal of Applied Mechanics50, 343 (1983). 7

    1983

  47. [47]

    J. R. Rice, N. Lapusta, and K. Ranjith, Rate and state dependent friction and the stability of sliding between elastically deformable solids, Journal of the Mechanics and Physics of Solids49, 1865 (2001)

    2001

  48. [48]

    Zapperi, P

    S. Zapperi, P. Cizeau, and G. Durin, Dynamics of a ferro- magnetic domain wall: Avalanches, depinning transition, and the Barkhausen effect, Physical Review Letters79, 4669 (1997)

    1997

  49. [49]

    M. C. Kuntz and J. P. Sethna, Noise in disordered systems: The power spectrum and dynamic expo- nents in avalanche models, Physical Review B - Con- densed Matter and Materials Physics62, 11699 (2000), arXiv:9911207 [cond-mat]

    2000

  50. [50]

    Durin and S

    G. Durin and S. Zapperi, On the power spectrum of magnetization noise, Journal of Magnetism and Magnetic Materials242-245, 1085 (2002)

    2002

  51. [51]

    Alessandro, C

    B. Alessandro, C. Beatrice, G. Bertotti, and A. Montorsi, Domain-wall dynamics and Barkhausen effect in metal- lic ferromagnetic materials. II. Experiments, Journal of Applied Physics68, 2908 (1990)

    1990

  52. [52]

    Feller, Two Singular Diffusion Problems, Annals of mathematics54, 173 (1951)

    W. Feller, Two Singular Diffusion Problems, Annals of mathematics54, 173 (1951)

    1951

  53. [53]

    Baldassarri and A

    A. Baldassarri and A. Puglisi, Bridge, Reverse Bridge, and Their Control, Entropy27, 718 (2025)

    2025

  54. [54]

    Spasojevi´ c, M

    D. Spasojevi´ c, M. Marinkovi´ c, D. Jovkovi´ c, S. Jani´ cevi´ c, L. Laurson, and A. Djordjevi´ c, Barkhausen noise in dis- ordered striplike ferromagnets: Experiment versus simu- lations, Physical Review E109, 024110 (2024)

    2024

  55. [55]

    Baldassarri, F

    A. Baldassarri, F. Dalton, A. Petri, S. Zapperi, G. Pon- tuale, and L. Pietronero, Brownian forces in sheared granular matter, Physical Review Letters96, 118002 (2006)

    2006

  56. [56]

    Laurson, X

    L. Laurson, X. Illa, S. Santucci, K. Tore Tallakstad, K. J. M˚ aløy, and M. J. Alava, Evolution of the aver- age avalanche shape with the universality class., Nature communications4, 2927 (2013)

    2013

  57. [57]

    Zapperi, C

    S. Zapperi, C. Castellano, F. Colaiori, and G. Durin, Signature of effective mass in crackling-noise asymmetry, Nature Physics1, 46 (2005)

    2005

  58. [58]

    Durin, F

    G. Durin, F. Colaiori, C. Castellano, and S. Zapperi, Sig- nature of negative domain wall mass in soft magnetic materials, Journal of Magnetism and Magnetic Materials 316, 436 (2007)

    2007

  59. [59]

    Crisanti, A

    A. Crisanti, A. Puglisi, and D. Villamaina, Nonequilib- rium and information: The role of cross correlations, Physical Review E—Statistical, Nonlinear, and Soft Mat- ter Physics85, 061127 (2012)

    2012

  60. [60]

    Dotsenko, A

    V. Dotsenko, A. Macio lek, O. Vasilyev, and G. Oshanin, Two-temperature langevin dynamics in a parabolic po- tential, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics87, 062130 (2013)

    2013

  61. [61]

    Baldassarri, A

    A. Baldassarri, A. Puglisi, and L. Sesta, Engineered swift equilibration of a brownian gyrator, Physical Review E 102, 030105 (2020)

    2020

  62. [62]

    Dotsenko, A

    V. Dotsenko, A. Macio lek, O. Vasilyev, and G. Oshanin, Two-temperature Langevin dynamics in a parabolic po- tential, Physical Review E87, 062130 (2013)

    2013

  63. [63]

    Chen and T

    Y. Chen and T. Georgiou, Stochastic Bridges of Linear Systems, IEEE Transactions on Automatic Control61, 526 (2016), arXiv: 1407.3421

    Pith/arXiv arXiv 2016

  64. [64]

    Lucente, A

    D. Lucente, A. Baldassarri, A. Puglisi, A. Vulpiani, and M. Viale, Inference of time irreversibility from incomplete information: Linear systems and its pitfalls, Physical Re- view Research4, 043103 (2022)

    2022

  65. [65]

    Godr` eche and J.-M

    C. Godr` eche and J.-M. Luck, Characterising the nonequi- librium stationary states of Ornstein-Uhlenbeck pro- cesses, Journal of Physics A: Mathematical and Theo- retical52, 035002 (2019)

    2019

  66. [66]

    Bizzarri, A

    A. Bizzarri, A. Petri, and A. Baldassarri, Earthquake dy- namics constrained from laboratory experiments: new in- sights from granular materials, Annals of Geophysics64, SE441 (2021)

    2021

  67. [67]

    Leoni, A

    F. Leoni, A. Baldassarri, F. Dalton, A. Petri, G. Pon- tuale, and S. Zapperi, Friction memory in the stick-slip of a sheared granular bed, Journal of Non-Crystalline Solids 357, 749 (2011), publisher: Elsevier B.V

    2011

  68. [68]

    Sarracino, D

    A. Sarracino, D. Villamaina, G. Gradenigo, and A. Puglisi, Irreversible dynamics of a massive intruder in dense granular fluids, Europhysics Letters92, 34001 (2010)

    2010

  69. [69]

    R. M. Blumenthal,Excursions of Markov Processes (Birkh¨ auser Boston, Boston, MA, 1992)

    1992

  70. [70]

    activity

    C. W. Gardiner, Handbook of stochastic methods for physics, chemistry and the natural sciences, Springer se- ries in synergetics (1985). END MA TTER Excursion and bridge for a Markov stochastic process.In stochastic process theory the excursion is a one dimen- sional stochastic process that start from a valuev(0) =v 0 and stay away from it for a timeτ, wh...

    1985