Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long range statistical fluctuations of the crossed Josephson current   We investigate the crossed Josephson effect in a geometry consisting of a
double ferromagnetic bridge between two superconductors, with tunnel
interfaces. The crossed Josephson current vanishes on average because the
Andreev reflected hole does not follow the same sequence of impurities as the
incoming electron. We show that i) the root mean square of the crossed
Josephson current distribution is proportional to the square root of the
junction area; and ii) the coherent coupling mediated by fluctuations is ``long
range'' since it decays over the ferromagnet phase coherence length $l_\phi$,
larger than the exchange length. We predict a crossed Josephson current due to
fluctuations if the length of the ferromagnets is smaller than $l_\phi$ and
larger than the exchange length $\xi_h$.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
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The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an