J. M. G. LeClézio

Otten, Anna; Waelti-Walters, Jennifer

doi:10.2307/40134242

Cited by 4 publications

(3 citation statements)

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“…A preassociated ground-state complex of DMTAJA is therefore proposed to account for the sensitization process. This is supported by the observation of hyperchromicity in the absorption spectrum of a DMTAJA mixture at the red edge of the spectrum (69); apparently the complex is destabilized in organic media (73,74).…”

Section: Triplet Energy Transfersupporting

confidence: 54%

Urocanic Acid Photochemistry and Photobiology

Morrison¹,

HogenEsch²

1999

Photochem & Photobiology

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Section: Triplet Energy Transfersupporting

confidence: 54%

Urocanic Acid Photochemistry and Photobiology

Morrison¹,

HogenEsch²

1999

Photochem & Photobiology

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“…For example if constraints are defined using average number of transitions N i,j between two consecutive time steps -i is the state at some instant of time and j is the state at the next time step -we recover traditional master equation 47 and Lagrange multipliers relate to reaction rates 50 . This also applies when the measured jump statistics include multiple time steps 48 or memory 52 .…”

Section: E Max Cal Gives Fick's Law Of Diffusion Including the 'Few-m...mentioning

confidence: 99%

Perspective: Maximum caliber is a general variational principle for dynamical systems

Dixit

Wagoner

Weistuch

et al. 2018

The Journal of Chemical Physics

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A unified stochastic formulation of dissipative quantum dynamics. I. Generalized hierarchical equations The Journal of Chemical Physics 148, 014103 (2018) We review here Maximum Caliber (Max Cal), a general variational principle for inferring distributions of paths in dynamical processes and networks. Max Cal is to dynamical trajectories what the principle of maximum entropy is to equilibrium states or stationary populations. In Max Cal, you maximize a path entropy over all possible pathways, subject to dynamical constraints, in order to predict relative path weights. Many well-known relationships of non-equilibrium statistical physics-such as the Green-Kubo fluctuation-dissipation relations, Onsager's reciprocal relations, and Prigogine's minimum entropy production-are limited to near-equilibrium processes. Max Cal is more general. While it can readily derive these results under those limits, Max Cal is also applicable far from equilibrium. We give examples of Max Cal as a method of inference about trajectory distributions from limited data, finding reaction coordinates in bio-molecular simulations, and modeling the complex dynamics of non-thermal systems such as gene regulatory networks or the collective firing of neurons. We also survey its basis in principle and some limitations.

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“…The biased ensembles that we consider are also identical [17] to those obtained by Jaynes's maximum entropy inference (MaxEnt) prescription applied to trajectories and using current as a macroscopic observable (in which case it is also known as MaxCal [23,24,25]). Hence our results demonstrate that MaxEnt/MaxCal does not yield the non-equilibrium dynamics of driven systems, contrary to the widely-held hypothesis [23,24,25,17].…”

Section: Introductionmentioning

confidence: 99%

Absence of dissipation in trajectory ensembles biased by currents

Jack¹,

Evans²

2016

J. Stat. Mech.

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We consider biased ensembles of trajectories associated with large deviations of currents in equilibrium systems. The biased ensembles are characterised by non-zero currents and lack the time-reversal symmetry of the equilibrium state, but we show that they retain a generalised time-reversal symmetry, involving a spatial transformation that inverts the current. This means that these ensembles lack dissipation. Hence, they differ significantly from non-equilibrium steady states where currents are induced by external forces.One consequence of this result is that maximum entropy assumptions (MaxEnt/MaxCal), widely used for modelling thermal systems away from equilibrium, have quite unexpected implications, including apparent superfluid behaviour in a classical model of shear flow. arXiv:1602.03815v1 [cond-mat.stat-mech] Absence of dissipation in trajectory ensembles biased by currents

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J. M. G. LeClézio

Cited by 4 publications

References 0 publications

Urocanic Acid Photochemistry and Photobiology

Urocanic Acid Photochemistry and Photobiology

Perspective: Maximum caliber is a general variational principle for dynamical systems

Absence of dissipation in trajectory ensembles biased by currents

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