Farhad H Jafarpour 2003 J. Phys. A: Math. Gen. 36 7497 doi:10.1088/0305-4470/36/27/303
Farhad H Jafarpour
Show affiliationsA coagulation–decoagulation model is introduced on a chain of length L with open boundary. The model consists of one species of particles which diffuse, coagulate and decoagulate preferentially in the leftward direction. They are also injected and extracted from the left boundary with different rates. We will show that on a specific plane in the space of parameters, the steady-state weights can be calculated exactly using a matrix product method. The model exhibits a first-order phase transition between a low-density and a high-density phase. The density profile of the particles in each phase is obtained both analytically and using the Monte Carlo simulation. The two-point density–density correlation function in each phase has also been calculated. By applying the Yang–Lee theory we can predict the same phase diagram for the model. This model is further evidence for the applicability of the Yang–Lee theory in the non-equilibrium statistical mechanics context.
05.70.Fh Phase transitions: general studies
05.70.Ln Nonequilibrium and irreversible thermodynamics
82C26 Dynamic and nonequilibrium phase transitions (general)
82B26 Phase transitions (general)
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
Issue 27 (11 July 2003)
Received 25 February 2003, in final form 12 May 2003
Published 25 June 2003
Farhad H Jafarpour 2003 J. Phys. A: Math. Gen. 36 7497
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