Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On dispersionless transport in washboard potentials   We reassess the "dispersionless transport regime" of Brownian particles in
tilted periodic potentials. We show that the particles exhibit normal diffusive
motion right after transitioning into the running state dragged by the constant
bias force. No special transient dynamics appears, contrary to conjectures in
the previous studies. The observed flat segment in the dispersion evolution
curve is solely due to the broad spatial distribution of particles formed in
the early superdiffusion stage. We quantitatively describe the whole evolution
of the distribution function during superdiffusion and the transition to the
normal diffusion that follows, in the framework of the 2-well potential in the
velocity space model. We show that the superdiffusion exponent is $\alpha=3$.
Estimate of the duration of the ostensible "dispersionless regime" is provided.
It is shown to diverge exponentially as the temperature decreases to zero.

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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci