# Fluctuation theorems and 1/f noise from a simple matrix

@article{Chamberlin2016FluctuationTA, title={Fluctuation theorems and 1/f noise from a simple matrix}, author={Ralph V. Chamberlin and Sumiyoshi Abe and Bryce F. Davis and Priscilla E. Greenwood and A. H. Shevchuk}, journal={The European Physical Journal B}, year={2016}, volume={89}, pages={1-6} }

Abstract
Here we present a model for a small system combined with an explicit entropy bath that is
comparably small. The dynamics of the model is defined by a simple matrix, M. Each row of
M corresponds to a macrostate of the system, e.g. net alignment, while the elements in the
row represent microstates. The constant number of elements in each row ensures constant
entropy, which allows reversible fluctuations, similar to information theory where a
constant number of bits allows reversible…

## 5 Citations

### 1/f noise from a finite entropy bath: comparison with flux noise in SQUIDs

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2018

The primary low-frequency noise in superconducting quantum interference devices (SQUIDs) at low temperature is flux noise with a power spectral density of the form with . Experiments show this noise…

### Multiscale Thermodynamics: Energy, Entropy, and Symmetry from Atoms to Bulk Behavior

- PhysicsSymmetry
- 2021

Here, we investigate how the local properties of particles in a thermal bath may influence the thermodynamics of the bath, and consequently alter the statistical mechanics of subsystems that comprise…

### Energy localization and excess fluctuations from long-range interactions in equilibrium molecular dynamics

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2020

### Nonresonant Spectral Hole Burning in Liquids and Solids

- Physics
- 2018

A review of nonresonant spectral hole burning (NHB) is given. NHB utilizes a large-amplitude, low-frequency pump oscillation in an externally applied field to modify the response of a sample…

### Broken Ergodicity and $1/f$ Noise from Finite, Local Entropy Baths

- Physics
- 2018

Fluctuations with a power spectral density depending on frequency as 1/f (0 < α < 2) are found in a wide class of systems. The number of systems exhibiting 1/f noise means it has far-reaching…

## References

SHOWING 1-10 OF 38 REFERENCES

### Stochastic thermodynamics, fluctuation theorems and molecular machines

- PhysicsReports on progress in physics. Physical Society
- 2012

Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.

### Role of hidden slow degrees of freedom in the fluctuation theorem.

- PhysicsPhysical review letters
- 2012

The role of hidden slow degrees of freedom in a system of two magnetically coupled driven colloidal particles and theoretical arguments for a generic linear behavior both for small and large apparent entropy production are presented.

### Distribution of entropy production in a single-electron box

- PhysicsNature Physics
- 2013

The fluctuation relations are a central concept in thermodynamics at the microscopic scale. These relations are experimentally verified by measuring the entropy production in a single-electron box…

### Beyond the Boltzmann factor for corrections to scaling in ferromagnetic materials and critical fluids

- Physics
- 2009

AbstractThe Boltzmann factor comes from the linear change in entropy of an infinite
heat bath during a local fluctuation; small systems have significant
nonlinear terms. We present theoretical…

### Dissipation: the phase-space perspective.

- PhysicsPhysical review letters
- 2007

It is shown that the average dissipation, upon perturbing a Hamiltonian system arbitrarily far out of equilibrium in a transition between two canonical equilibrium states, is exactly given by =W-DeltaF=kTD(rho||rho[ over ])=kT, where rho and rho[over ] are the phase-space density of the system measured at the same intermediate but otherwise arbitrary point in time, for the forward and backward process.

### Experimental verification of Landauer’s principle linking information and thermodynamics

- PhysicsNature
- 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.

### 1 / f noise: Implications for solid-state quantum information

- Physics
- 2014

The efficiency of the future devices for quantum information processing will be limited mostly by the finite decoherence rates of the individual qubits and quantum gates. Recently, substantial…

### Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences.

- Economics, PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1999

A generalized version of the fluctuation theorem is derived for stochastic, microscopically reversible dynamics and this generalized theorem provides a succinct proof of the nonequilibrium work relation.

### Complexity, Time and Music

- ArtAdv. Complex Syst.
- 2010

The concept of complexity as considered in terms of its algorithmic definition proposed by G.J. Chaitin and A.N. Kolmogorov is revisited for the dynamical complexity of music, and suggests that the fractional nature of art might have an intrinsic value of more general significance.

### Principles of maximum entropy and maximum caliber in statistical physics

- Physics
- 2013

The variational principles called maximum entropy (MaxEnt) and maximum caliber (MaxCal) are reviewed. MaxEnt originated in the statistical physics of Boltzmann and Gibbs, as a theoretical tool for…