Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Engines of Parsimony: Part I; Limits on Computational Rates in Physical
  Systems   We analyse the maximum achievable rate of sustained computation for a given
convex region of three dimensional space subject to geometric constraints on
power delivery and heat dissipation. We find a universal upper bound across
both quantum and classical systems, scaling as $\sqrt{AV}$ where $V$ is the
region volume and $A$ its area. Attaining this bound requires the use of
reversible computation, else it falls to scaling as $A$. By specialising our
analysis to the case of Brownian classical systems, we also give a
semi-constructive proof suggestive of an implementation attaining these bounds
by means of molecular computers. For regions of astronomical size, general
relativistic effects become significant and more restrictive bounds
proportional to $\sqrt{AR}$ and $R$ are found to apply, where $R$ is its
radius. It is also shown that inhomogeneity in computational structure is
generally to be avoided. These results are depicted graphically in Figure 1.

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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci