Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality classes of spin transport in one-dimensional isotropic
  magnets: the onset of logarithmic anomalies   We report a systematic study of finite-temperature spin transport in quantum
and classical one-dimensional magnets with isotropic spin interactions,
including both integrable and non-integrable models. Employing a
phenomenological framework based on a generalized Burgers' equation in a
time-dependent stochastic environment, we identify four different universality
classes of spin fluctuations. These comprise, aside from normal spin diffusion,
three types of superdiffusive transport: the KPZ universality class and two
distinct types of anomalous diffusion with multiplicative logarithmic
corrections. Our predictions are supported by extensive numerical simulations
on various examples of quantum and classical chains. Contrary to common belief,
we demonstrate that even non-integrable spin chains can display a diverging
spin diffusion constant at finite temperatures.

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The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom