Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of trials required to estimate a free-energy difference, using
  fluctuation relations   The difference Delta F between free energies has applications in biology,
chemistry, and pharmacology. The value of Delta F can be estimated from
experiments or simulations, via fluctuation theorems developed in statistical
mechanics. Calculating the error in a Delta F estimate is difficult. Worse,
atypical trials dominate estimates. How many trials one should perform was
estimated roughly in [Jarzynski, Phys. Rev. E 73, 046105 (2006)]. We enhance
the approximation with information-theoretic strategies: We quantify
"dominance" with a tolerance parameter chosen by the experimenter or simulator.
We bound the number of trials one should expect to perform, using the
order-infinity Renyi entropy. The bound can be estimated if one implements the
"good practice" of bidirectionality, known to improve estimates of Delta F.
Estimating Delta F from this number of trials leads to an error that we bound
approximately. Numerical experiments on a weakly interacting dilute classical
gas support our analytical calculations.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con