Fractal Reaction Kinetics

Classical reaction kinetics has been found to be unsatisfactory when the reactants are spatially constrained on the microscopic level by either walls, phase boundaries, or force fields. Recently discovered theories of heterogeneous reaction kinetics have dramatic consequences, such as fractal orders for elementary reactions, self-ordering and self-unmixing of reactants, and rate coefficients with temporal "memories." The new theories were needed to explain the results of experiments and supercomputer simulations of reactions that were confined to low dimensions or fractal dimensions or both. Among the practical examples of "fractal-like kinetics" are chemical reactions in pores of membranes, excitation trapping in molecular aggregates, exciton fusion in composite materials, and charge recombination in colloids and clouds.

[1]  Simulations of one-dimensional and fractal luminescence kinetics , 1988 .

[2]  J. Yorke,et al.  Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics , 1987, Science.

[3]  J. Boissonade,et al.  Experimental evidence of nucleation induced transition in a bistable chemical system , 1983 .

[4]  Steady-state chemical kinetics on surface clusters and islands: segregation of reactants , 1988 .

[5]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[6]  A. Turing.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[7]  S. Chandrasekhar.  Stochastic problems in Physics and Astronomy , 1943 .

[8]  Raoul Kopelman,et al.  Rate processes on fractals: Theory, simulations, and experiments , 1986 .

[9]  Irving R. Epstein,et al.  Stirring and premixing effects in the oscillatory chlorite–iodide reaction , 1986 .

[10]  J. Rudnick,et al.  The Shapes of Random Walks , 1987, Science.

[11]  Steady-state chemical kinetics on fractals: Segregation of reactants. , 1987, Physical review letters.

[12]  F. Wilczek,et al.  Particle–antiparticle annihilation in diffusive motion , 1983 .

[13]  Heterogeneous exciton kinetics: Triplet naphthalene homofusion in an isotopic mixed crystal , 1982 .

[14]  P. Evesque,et al.  Time resolved studies of naphthalene mixed crystals. Fractal and Euclidian behaviors of the migration kinetics , 1984 .

[15]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[16]  Raoul Kopelman,et al.  Reaction kinetics on clusters and islands , 1986 .

[17]  West,et al.  Steady-state segregation in diffusion-limited reactions. , 1988, Physical review letters.

[18]  Manor,et al.  Even et al. respond. , 1987, Physical review letters.

[19]  Joel Keizer,et al.  Nonequilibrium statistical thermodynamics and the effect of diffusion on chemical reaction rates , 1982 .

[20]  P. G. de Gennes,et al.  Kinetics of diffusion‐controlled processes in dense polymer systems. I. Nonentangled regimes , 1982 .

[21]  V. Kuzovkov,et al.  Many-particle effects in accumulation kinetics of Frenkel defects in crystals , 1984 .

[22]  Schaefer,et al.  Are leached porous glasses fractal? , 1987, Physical review letters.

[23]  A. A. Ovchinnikov,et al.  Role of density fluctuations in bimolecular reaction kinetics , 1978 .

[24]  Prasad,et al.  Exciton kinetics in ultrathin molecular wires and pores. , 1987, Physical review letters.

[25]  Prasad,et al.  Fractal-like exciton kinetics in porous glasses, organic membranes, and filter papers. , 1986, Physical review letters.

[26]  E. Newhouse,et al.  Fractal-like triplet-triplet annihilation kinetics in naphthalene-doped poly(methylmethacrylate) , 1988 .

[27]  R. Kopelman,et al.  Fractal-like molecular reaction kinetics: Solute photochemistry in porous membranes , 1987 .

[28]  R. Kopelman,et al.  Steady-state chemical kinetics on fractals: Geminate and nongeminate generation of reactants , 1987 .

[29]  R. Kopelman,et al.  Exciton Dynamics in thin wires , 1987 .

[30]  D. Farin,et al.  Reactive fractal surfaces , 1987 .

[31]  Raoul Kopelman,et al.  Fractal reaction kinetics: exciton fusion on clusters , 1983 .