Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Mechanics of Discrete Multicomponent Fragmentation   We formulate the statistics of the discrete multicomponent fragmentation
event using a methodology borrowed from statistical mechanics. We generate the
ensemble of all feasible distributions that can be formed when a single integer
multicomponent mass is broken into fixed number of fragments and calculate the
combinatorial multiplicity of all distributions in the set. We define random
fragmentation by the condition that the probability of distribution be
proportional to its multiplicity and obtain the partition function and the mean
distribution in closed form. We then introduce a functional that biases the
probability of distribution to produce in a systematic manner fragment
distributions that deviate to any arbitrary degree from the random case. We
corroborate the results of the theory by Monte Carlo simulation and demonstrate
examples in which components in sieve cuts of the fragment distribution undergo
preferential mixing or segregation relative to the parent particle.

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess