Questions tagged [ergodicity]

Questions about ergodicity, non-ergodicity, ergodic or non-ergodic systems, fractional Brownian motion, anomalous diffusion, etc.

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7
votes
1answer
79 views

For ergodicity, what is the significance of the R value and slope?

I am calculating MSDs for the first time and have been struggling to find newbie-level resources on understanding them. If anyone could please suggest any resources or provide guidance on how to ...
12
votes
2answers
138 views

Methods to handle non-ergodic systems with Molecular Dynamics

Given the large difference between simulation timescales and the timescales on which we normally interact with ensembles of molecules, the time average of a molecular dynamics simulation does not ...
13
votes
2answers
622 views

Classical Monte Carlo vs. Molecular Dynamics

Both Classical Monte Carlo (MC) and Classical Molecular Dynamics (MD) simulations are used to perform simulations of ensembles of molecules. These MC calculations are calculating thermodynamic ...
15
votes
1answer
129 views

What is the definition of ergodicity in Monte Carlo?

I've been writing a manuscript about the breakdown of ergodicity in single spin flip Metropolis algorithm Monte Carlo arXiv:2001.09268. The definition I have been using is: a Markov process is ...