# Energy Dissipation and Information Flow in Coupled Markovian Systems

@article{Quenneville2018EnergyDA, title={Energy Dissipation and Information Flow in Coupled Markovian Systems}, author={Matthew E. Quenneville and David A. Sivak}, journal={Entropy}, year={2018}, volume={20} }

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental states. The non-predictive model complexity has been shown to lower-bound the thermodynamic dissipation. Here we explore these statistical and physical quantities at steady state in simple models. We show that under quasi-static driving this model complexity…

## 4 Citations

Coupled and Hidden Degrees of Freedom in Stochastic Thermodynamics

- Computer Science, Physics
- 2020

This thesis investigates the interactions of different degrees of freedom of one joint system within the theory of stochastic thermodynamics using a microswimmer model and shows that its movement can be approximated by active Brownian motion.

Energy and Information Transduction In Strongly-Coupled Systems

- Physics
- 2019

Molecular machines are stochastic systems that interconvert different forms of energy, such as chemical potential energy and mechanical energy. These machines are generally comprised of many subunits…

Theory of Nonequilibrium Free Energy Transduction by Molecular Machines.

- Physics, BiologyChemical reviews
- 2019

Central questions in biomolecular machines performance as free energy transducers are reviewed, theoretical and modeling approaches are outlined, and both physical limits on their operational characteristics and design principles for improving performance are identified.

Free-energy transduction within autonomous systems.

- Medicine, PhysicsPhysical review. E
- 2021

This work introduces the "transduced additional free-energy rate" between strongly coupled subsystems of an autonomous system, which is analogous to the excess power in systems driven by an external control parameter that receives no feedback from the system.

## References

SHOWING 1-10 OF 31 REFERENCES

The thermodynamics of prediction

- Computer Science, MedicinePhysical review letters
- 2012

Any system constructed to keep memory about its environment and to operate with maximal energetic efficiency has to be predictive, and the fundamental equivalence between this model inefficiency and thermodynamic inefficiency, measured by dissipation is exposed.

Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell’s demon interpretation

- Physics, Mathematics
- 2014

We consider the stationary state of a Markov process on a bipartite system from the perspective of stochastic thermodynamics. One subsystem is used to extract work from a heat bath while being…

Information-theoretic vs. thermodynamic entropy production in autonomous sensory networks

- Mathematics, Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

An upper bound on the rate of mutual information analytically is obtained and this rate is calculated with a numerical method that estimates the entropy of a time series generated with a simulation.

Information Processing and Energy Dissipation in Neurons

- Mathematics
- 2012

We investigate the relationship between thermodynamic and information theoretic inefficiency in an individual neuron model, the adaptive exponential integrate-and-fire neuron. Recent work has…

Experimental verification of Landauer’s principle linking information and thermodynamics

- MedicineNature
- 2012

It is established that the mean dissipated heat saturates at the Landauer bound in the limit of long erasure cycles, demonstrating the intimate link between information theory and thermodynamics and highlighting the ultimate physical limit of irreversible computation.

Information and thermodynamics: Experimental verification of Landauer's erasure principle

- Physics, Mathematics
- 2015

We present an experiment in which a one-bit memory is constructed, using a system of a single colloidal particle trapped in a modulated double-well potential. We measure the amount of heat dissipated…

Efficiency of cellular information processing

- Computer Science, Physics
- 2014

We show that a rate of conditional Shannon entropy reduction, characterizing the learning of an internal process about an external process, is bounded by the thermodynamic entropy production. This…

What we learn from the learning rate

- Physics, Biology
- 2017

This paper explores the behaviour of the learning rate for a number of simple model systems, establishing when and how its behaviour is distinct from the instantaneous mutual information between subsystems.

Network theory of microscopic and macroscopic behavior of master equation systems

- Physics
- 1976

A general microscopic and macroscopic theory is developed for systems which are governed by a (linear) master equation. The theory is based on a network representation of the master equation, and the…

Energy dissipation and noise correlations in biochemical sensing.

- Physics, MedicinePhysical review letters
- 2014

This work studies how the accuracy of sensing depends on the correlations between these extrinsic and intrinsic sources of noise and finds that the sensing precision of signaling networks that are not driven out of equilibrium is fundamentally limited by the fluctuation-dissipation theorem.