# Nonergodic subdiffusion from transient interactions with heterogeneous partners.

@article{Charalambous2017NonergodicSF, title={Nonergodic subdiffusion from transient interactions with heterogeneous partners.}, author={Christos Charalambous and Gorka Mu{\~n}oz-Gil and Alessio Celi and Maria F. Garcia-Parajo and Maciej Lewenstein and Carlo Manzo and Miguel Angel Garcia-March}, journal={Physical review. E}, year={2017}, volume={95 3-1}, pages={ 032403 } }

Spatiotemporal disorder has been recently associated to the occurrence of anomalous nonergodic diffusion of molecular components in biological systems, but the underlying microscopic mechanism is still unclear. We introduce a model in which a particle performs continuous Brownian motion with changes of diffusion coefficients induced by transient molecular interactions with diffusive binding partners. In spite of the exponential distribution of waiting times, the model shows subdiffusion and…

## 8 Citations

Transient subdiffusion from an Ising environment.

- Mathematics, PhysicsPhysical review. E
- 2017

A model in which a particle performs a continuous-time random walk coupled to an environment with Ising dynamics shows anomalous diffusion when the Ising environment is at critical temperature, and shows that any finite scale introduced by a temperature different from the critical one, or a finite size of the environment, cause subdiffusion only during a transient time.

Diffusion Through a Network of Compartments Separated by Partially-Transmitting Boundaries

- PhysicsFront. Phys.
- 2019

We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length $L$ and the…

Membrane Diffusion Occurs by Continuous-Time Random Walk Sustained by Vesicular Trafficking.

- Medicine, ChemistryBiophysical journal
- 2018

Insight is provided into the nature of the biological and biophysical processes that can lead to significantly non-Brownian diffusion of membrane proteins and it is demonstrated that ongoing membrane recycling is critical to maintaining steady-state diffusion and distribution of proteins in the plasma membrane.

Membrane Diffusion Occurs by a Continuous-Time Random Walk Sustained by Vesicular Trafficking

- Biology
- 2018

Insight is provided into the nature of the biological and biophysical processes that can lead to significantly non-Brownian diffusion of membrane proteins, and ongoing membrane recycling is demonstrated to be critical to maintaining steady-state diffusion and distribution of proteins in the plasma membrane.

Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent diffusivity: striking differences for massive versus massless particles

- PhysicsJournal of Physics D: Applied Physics
- 2021

We investigate a diffusion process with a time-dependent diffusion coefficient, both exponentially increasing and decreasing in time, D(t)=D0e±2αt . For this (hypothetical) nonstationary diffusion…

Control of anomalous diffusion of a Bose polaron

- Computer Science, PhysicsQuantum
- 2020

The anomalous diffusion exponent and the duration of the subdiffusive interval can be controlled with the Rabi frequency of the coherent coupling between the two components, and with the coupling strength of the impurity to the BEC.

Efficient recurrent neural network methods for anomalously diffusing single particle short and noisy trajectories

- Computer Science, PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

A data-driven method able to infer the anomalous exponent and to identify the type of anomalous diffusion process behind single, noisy and short trajectories, with good accuracy is presented.

Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution

- Medicine, BiologyPhilosophical Transactions of the Royal Society A
- 2021

The space-dependent variable-order fractional master equation to model clustering of particles, organelles, inside living cells is formulated and its solution in the long-time limit describing non-uniform distribution due to a space- dependent fractional exponent is found.

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