Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real Time Dynamics of Soliton Diffusion   We study the non-equilibrium dynamics of solitons in model Hamiltonians for
Peierls dimerized quasi-one dimensional conducting polymers and commensurate
charge density wave systems. The real time equation of motion for the
collective coordinate of the soliton and the associated Langevin equation is
found in a consistent adiabatic expansion in terms of the ratio of the optical
phonon or phason frequency to the soliton mass. The equation of motion for the
soliton collective coordinate allows to obtain the frequency dependent soliton
conductivity. In lowest order we find that although the coefficient of static
friction vanishes, there is dynamical dissipation represented by a
non-Markovian dissipative kernel associated with two-phonon processes. The
correlation function of the noise in the quantum Langevin equation and the
dissipative kernel are related by a generalized quantum fluctuation dissipation
relation. To lowest adiabatic order we find that the noise is gaussian,
additive and colored. We numerically solve the equations of motion in lowest
adiabatic order and compare to the Markovian approximation which is shown to
fail both in the $\phi^4$ and the Sine Gordon models even at large
temperatures.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int