# Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity

@article{Loos2019NonreciprocalHD, title={Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity}, author={Sarah A. M. Loos and Simon Hermann and Sabine H. L. Klapp}, journal={arXiv: Statistical Mechanics}, year={2019} }

We show that memory, feedback, and activity are all describable by the same unifying concept, that is non-reciprocal (NR) coupling. We demonstrate that characteristic thermodynamic features of these intrinsically nonequilibrium systems are reproduced by low-dimensional Markovian networks with NR coupling, which we establish as minimal models for such complex systems. NR coupling alone implies a violation of the fluctuation-dissipation relation, which is inevitably connected to entropy…

## 9 Citations

### Robustness of travelling states in generic non-reciprocal mixtures

- Physics
- 2022

Emergent non-reciprocal interactions violating Newton’s third law are widespread in out-of-equilibrium systems. It has been demonstrated recently that phase separating mixtures with such…

### Energetics of critical oscillators in active bacterial baths

- Physics
- 2020

We investigate the nonequilibrium energetics near a critical point of a non-linear oscillator immersed in an active bacterial bath. At the critical point, we reveal a scaling exponent of the average…

### Jerky active matter: a phase field crystal model with translational and orientational memory

- Physics
- 2021

Most field theories for active matter neglect effects of memory and inertia. However, recent experiments have found inertial delay to be important for the motion of self-propelled particles. A major…

### Quantifying configurational information for a stochastic particle in a flow-field

- PhysicsNew Journal of Physics
- 2020

Flow-fields are ubiquitous systems that are able to transport vital signaling molecules necessary for system function. While information regarding the location and transport of such particles is…

### Active Brownian motion with memory delay induced by a viscoelastic medium.

- PhysicsPhysical review. E
- 2022

By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. On the basis of the generalized Langevin equation, we…

### Active Brownian motion in a viscoelastic medium

- Physics
- 2022

By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. Here we use an extended model for swimming in a…

### Topological active matter

- PhysicsNature Reviews Physics
- 2022

In this review, we summarize recent progress in understanding the role and relevance of topological excitations in a special category of systems called active matter. Active matter is a class of…

### Odd Viscosity and Odd Elasticity

- Physics
- 2022

Elasticity typically refers to a material’s ability to store energy, while viscosity refers to a material’s tendency to dissipate it. In this review, we discuss ﬂuids and solids for which this is not…

### Topological defects in non-reciprocal active solids with odd elasticity.

- Materials Science
- 2020

In this Letter, we present the continuum theory of topological defects in active solids whose linear elasticity violates Maxwell-Betti reciprocity: the symmetry between mechanical perturbations and…

## References

SHOWING 1-10 OF 113 REFERENCES

### Nonequilibrium and information: the role of cross correlations.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

We discuss the relevance of information contained in cross correlations among different degrees of freedom, which is crucial in nonequilibrium systems. In particular we consider a stochastic system…

### Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control.

- MathematicsPhysical review letters
- 2014

A new definition of the quantity measuring the irreversibility of a path in a nonequilibrium stationary state is proposed, which can also be regarded as the trajectory-dependent total entropy production, which leads to an extension of the second law.

### Stochastic thermodynamics of Langevin systems under time-delayed feedback control: Second-law-like inequalities.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

This paper performs a comprehensive study of small stochastic systems governed by an underdamped Langevin equation and driven out of equilibrium by a time-delayed continuous feedback control and derives a set of second-law-like inequalities that provide bounds to the rate of extracted work.

### Markovian embedding of fractional superdiffusion

- Mathematics
- 2011

The Fractional Langevin Equation (FLE) describes a non-Markovian Generalized Brownian Motion with long time persistence (superdiffusion), or anti-persistence (subdiffusion) of both velocity-velocity…

### Markovian embedding of non-Markovian superdiffusion.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

This work considers different Markovian embedding schemes of non-Markovian stochastic processes that are described by generalized Langevin equations and obey thermal detailed balance under equilibrium conditions and finds that intermediate asymptotics exhibit a giant enhancement of superdiffusion in tilted washboard potentials.

### The fluctuation-dissipation relation: how does one compare correlation functions and responses?

- Physics
- 2009

We discuss the well known Einstein and the Kubo fluctuation-dissipation relations (FDRs) in the wider framework of a generalized FDR for systems with a stationary probability distribution. A…

### Information thermodynamics for a multi-feedback process with time delay

- Mathematics
- 2016

The long-time limit of this measurement-feedback process, which turns out to exhibit an interesting instability transition as well as heating by controlling parameters such as measurement errors, time interval, protocol strength, and time delay length is examined.

### Memory systems, computation, and the second law of thermodynamics

- Computer Science
- 1992

This paper argues on information-theoretic and statistical mechanical grounds that useful memories must be of one of two types, exemplified by memory in abstract computer programs and by memory by photograph-type memories.

### Stochastic thermodynamics of Langevin systems under time-delayed feedback control. II. Nonequilibrium steady-state fluctuations.

- PhysicsPhysical review. E
- 2017

This paper uses a path-integral formalism and focuses on the long-time behavior in the stationary cooling regime, stressing the role of rare events in Langevin systems subjected to a continuous time-delayed feedback control.

### Heat flow due to time-delayed feedback

- PhysicsScientific Reports
- 2019

It is shown that the feedback inevitably leads to a finite heat flow even for vanishingly small delay times, and that the nontrivial interplay of noise and delay as the underlying reason is detected.