Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reasonable and robust Hamiltonians violating the Third Law   It has recently been shown that the third law of thermodynamics is violated
by an entire class of classical Hamiltonians in one dimension, over a finite
volume of coupling-constant space, assuming only that certain elementary
symmetries are exact, and that the interactions are finite-ranged. However,
until now, only the existence of such Hamiltonians was known, while almost
nothing was known of the nature of the couplings. Here we show how to define
the subvolume of these Hamiltonians---a `wedge' W in a d-dimensional space---in
terms of simple properties of a directed graph. We then give a simple
expression for a specific Hamiltonian H* in this wedge, and show that H* is a
physically reasonable Hamiltonian, in the sense that its coupling constants lie
within an envelope which decreases smoothly, as a function of the range l, to
zero at l=r+1, where r is the range of the interaction.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph