- 04-384 Francis COMETS,Nobuo YOSHIDA
- Directed Polymers in Random Environment are Diffusive
at Weak Disorder
Nov 15, 04
(auto. generated ps),
of related papers
Abstract. In this paper, we consider directed polymers in random environment
with discrete space and time.
For transverse dimension at least equal to
3, we prove that diffusivity holds for the path
in the full weak disorder region, i.e., where the
partition function differs from its annealed value only by a non-vanishing
factor. Deep inside this region, we also show that the quenched averaged
energy has fluctuations of order 1. In complete generality
(arbitrary dimension and temperature), we prove
monotonicity of the phase diagram in the temperature.