Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous time random walk for open systems: Fluctuation theorems and
  counting statistics   We consider continuous time random walks (CTRW) for open systems that
exchange energy and matter with multiple reservoirs. Each waiting time
distribution (WTD) for times between steps is characterized by a positive
parameter a, which is set to a=1 if it decays at least as fast as t^{-2} at
long times and therefore has a finite first moment. A WTD with a<1 decays as
t^{-a-1}. A fluctuation theorem for the trajectory quantity R, defined as the
logarithm of the ratio of the probability of a trajectory and the probability
of the time reversed trajectory, holds for any CTRW. However, R can be
identified as a trajectory entropy change only if the WTDs have a=1 and satisfy
separability (also called "direction time independence"). For nonseparable WTDs
with a=1, R can only be identified as a trajectory entropy change at long
times, and a fluctuation theorem for the entropy change then only holds at long
times. For WTDs with 0<a<1 no meaningful fluctuation theorem can be derived. We
also show that the (experimentally accessible) n'th moments of the energy and
matter transfers between the system and a given reservoir grow as t^{n a} at
long times.

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The categories of this paper are: hep-ph
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas