M ay 1 99 9 Study of the one - dimensional off - lattice hot - monomer reaction model
نویسندگان
چکیده
Hot monomers are particles having a transient mobility (a ballistic fly) before absorbing definitely on a surface. After arriving on a surface, the energy excess coming from the kinetic energy in the gas phase is dissipated through degrees of freedom parallel to the surface plane. In the present work we study the hot monomer-monomer adsorption-reaction process on a continuum (offlattice) one-dimensional space by means of Monte Carlo simulation. The system exhibits second-order irreversible phase transition between a reactive and saturated (absorbing) phases which belong to the directed percolation (DP) universality class. This result is interpreted by means of a coarse-grained Langevin description which allows as to extend the DP conjecture to transitions occurring in continuous media. 05.70.Ln, 82.20.Mj, 82.65.Jv, 64.60.Ht Typeset using REVTEX
منابع مشابه
O ct 1 99 9 Study of the one - dimensional off lattice hot monomer reaction model . Daniel
Hot monomers are particles having a transient mobility (a ballistic flight) prior to being definitely absorbed on a surface. After arriving at a surface, the excess energy coming from the kinetic energy in the gas phase is dissipated through degrees of freedom parallel to the surface plane. In this paper we study the hot monomer-monomer adsorption-reaction process on a continuum (off-lattice) o...
متن کاملar X iv : c on d - m at / 9 30 50 30 v 1 2 5 M ay 1 99 3 Annihilation of Immobile Reactants on the Bethe Lattice
Two-particle annihilation reaction, A+A → inert, for immobile reactants on the Bethe lattice is solved exactly for the initially random distribution. The process reaches an absorbing state in which no nearest-neighbor reactants are left. The approach of the concentration to the limiting value is exponential. The solution reproduces the known one-dimensional result which is further extended to t...
متن کاملar X iv : c on d - m at / 9 70 51 84 v 1 1 9 M ay 1 99 7 Folding and Misfolding of Designed Heteropolymer Chains with Mutations
We study the impact of mutations (changes in amino acid sequence) on the thermodynamics of simple protein-like heteropolymers consisting of N monomers, representing the amino acid sequence. The sequence is designed to fold into its native conformation on a cubic lattice. It is found that quite a large fraction, between one half and one third of the substitutions, which we call 'cold errors', ma...
متن کاملar X iv : h ep - t h / 96 12 11 1 v 2 1 1 M ay 1 99 9 The antiferromagnetic φ 4 Model , II . The one - loop renormalization
It is shown that the four dimensional antiferromagnetic lattice φ4 model has the usual non-asymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar particle. A continuum effective theory is derived for low energies. A possibility of constructing a model with a single chiral boson is mentioned.
متن کاملX iv : c on d - m at / 9 60 41 90 v 1 1 M ay 1 99 6 Circular phase of a two dimensional ferromagnet with dipolar interactions
We make for the first time a large-scale Monte-Carlo simulation of a fer-romagnetic Heisenberg model with dipolar interactions on a two dimensional square lattice with open boundaries using an efficient new technique. We find that a phase transition occurs in the model and the ordered phase is characterized by a circular arrangement of the spins.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999