1103.2133 (S. V. Demidov et al.)

Soliton pair creation in classical wave scattering    [PDF]

S. V. Demidov, D. G. Levkov

We study classical production of soliton-antisoliton pairs from colliding
wave packets in (1+1)-dimensional scalar field model. Wave packets represent
multiparticle states in quantum theory; we characterize them by energy E and
particle number N. Sampling stochastically over the forms of wave packets, we
find the entire region in (E,N) plane which corresponds to classical creation
of soliton pairs. Particle number is parametrically large within this region
meaning that the probability of soliton-antisoliton pair production in
few-particle collisions is exponentially suppressed.

View original: http://arxiv.org/abs/1103.2133