Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Work needed to drive a thermodynamic system between two distributions   In this study, the minimum amount of work needed to drive a thermodynamic
system from one initial distribution to another in a given time duration is
discussed. Equivalently, for given amount of work, the minimum time duration
required to complete such a transition is obtained. Results show that the
minimum amount of work is used to achieve the following three objectives, to
increase the internal energy of the system, to decrease the system entropy, to
change the mean position of the system, and with other nonzero part dissipated
into environment. To illustrate the results, an example with explicit solutions
is presented.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
1
The categories of this paper are: cs