Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic property of random diffusivity system with trapping events   Brownian yet non-Gaussian phenomenon has recently been observed in many
biological and active matter systems. The main idea of explaining this
phenomenon is to introduce a random diffusivity for particles moving in
inhomogeneous environment. This paper considers a Langevin system containing a
random diffusivity and an $\alpha$-stable subordinator with $\alpha<1$. This
model describes the particle's motion in complex media where both the long
trapping events and random diffusivity exist. We derive the general expressions
of ensemble- and time-averaged mean-squared displacements which only contain
the values of the inverse subordinator and diffusivity. Further taking specific
time-dependent diffusivity, we obtain the analytic expressions of ergodicity
breaking parameter and probability density function of the time-averaged
mean-squared displacement. The results imply the nonergodicity of the random
diffusivity model for any kind of diffusivity, including the critical case
where the model presenting normal diffusion.

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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
18
The categories of this paper are: econ
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph