Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-12-26
Physics
Condensed Matter
Statistical Mechanics
19 pages, 22 figures, to be published in Phys. Rev E
Scientific paper
10.1103/PhysRevE.58.144
A monomer-dimer reaction lattice model with lateral repulsion among the same species is studied using a mean-field analysis and Monte Carlo simulations. For weak repulsions, the model exhibits a first-order irreversible phase transition between two absorbing states saturated by each different species. Increasing the repulsion, a reactive stationary state appears in addition to the saturated states. The irreversible phase transitions from the reactive phase to any of the saturated states are continuous and belong to the directed percolation universality class. However, a different critical behavior is found at the point where the directed percolation phase boundaries meet. The values of the critical exponents calculated at the bicritical point are in good agreement with the exponents corresponding to the parity-conserving universality class. Since the adsorption-reaction processes does not lead to a non-trivial local parity-conserving dynamics, this result confirms that the twofold symmetry between absorbing states plays a relevant role in determining the universality class. The value of the exponent $\delta_2$, which characterizes the fluctuations of an interface at the bicritical point, supports the Bassler-Brown's conjecture which states that this is a new exponent in the parity-conserving universality class.
No associations
LandOfFree
Critical behavior of a one-dimensional monomer-dimer reaction model with lateral interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical behavior of a one-dimensional monomer-dimer reaction model with lateral interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of a one-dimensional monomer-dimer reaction model with lateral interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-311113