Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heating Through Phonon Excitation Implied by Collapse Models   We calculate the rate of heating through phonon excitation implied by the
noise postulated in mass-proportional-coupled collapse models, for a general
noise power spectrum. For white noise with reduction rate $\lambda$, the phonon
heating rate reduces to the standard formula, but for non-white noise with
power spectrum $\lambda(\omega)$, the rate $\lambda$ is replaced by
$\lambda_{\rm eff}=\frac{2}{3 \pi^{3/2}} \int d^3w e^{-\vec w^2} \vec w^2
\lambda(\omega_L(\vec w/r_c))$, with $\omega_L(\vec q)$ the longitudinal
acoustic phonon frequency as a function of wave number $\vec q$, and with $r_C$
the noise correlation length. Hence if the noise power spectrum is cut off
below $\omega_L(|\vec q| \sim r_c^{-1})$, the heating rate is sharply reduced.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph