25,882 research outputs found
Lattice-gas modeling of CO adlayers on Pd(100)
Using a lattice-gas model with pairwise interactions, we study the ordered
structures, coverage dependence of the heat of adsorption, and other
experimentally observable behavior of adsorbed CO overlayers on Pd(100) single
crystal surfaces. Transfer matrix and Monte Carlo methods give accurate
information regarding the lattice-gas model that often contradicts simple
mean-field-like analysis. We demonstrate the usefulness of the model by
reproducing experimental results over a large range of pressures and
temperatures.Comment: 6 pages, 5 figure
Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circle
Cyclic structure and dynamics are of great interest in both the fields of
stochastic processes and nonequilibrium statistical physics. In this paper, we
find a new symmetry of the Brownian motion named as the quasi-time-reversal
invariance. It turns out that such an invariance of the Brownian motion is the
key to prove the cycle symmetry for diffusion processes on the circle, which
says that the distributions of the forming times of the forward and backward
cycles, given that the corresponding cycle is formed earlier than the other,
are exactly the same. With the aid of the cycle symmetry, we prove the strong
law of large numbers, functional central limit theorem, and large deviation
principle for the sample circulations and net circulations of diffusion
processes on the circle. The cycle symmetry is further applied to obtain
various types of fluctuation theorems for the sample circulations, net
circulation, and entropy production rate.Comment: 28 page
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