Boots – shoes – and leggings
Patent
1994-05-10
1997-04-29
Teska, Kevin J.
Boots, shoes, and leggings
364496, 364497, 364498, G06G 748
Patent
active
056255799
ABSTRACT:
A system and method for simulating a mechanistic kinetic process, such as a chemical process including one or more chemical reactions, over a predetermined time period is provided. The simulation proceeds stochastically, by taking discrete time steps through the time period, and performing events (i.e., chemical reactions), based on the relationship between their probabilities of occurrence and the time steps taken. The system and method of the invention include means or method steps for detecting equilibrium conditions, in which a reaction moves forward and backward with a reaction probability which is high, relative to the probabilities of other reactions being simulated. When a reaction in equilibrium is detected, a probability calculation is made, based on the non-equilibrium reactions being simulated. Time steps are made, and events are simulated, based only on the non-equilibrium reactions. Thus, processing time, which would otherwise be consumed simulating back-and-forth events in the equilibrium reaction, is saved.
REFERENCES:
patent: 3702009 (1972-10-01), Baldwin, Jr.
patent: 4219877 (1980-08-01), Vladimirov et al.
patent: 4383757 (1983-05-01), Phillips
patent: 4513384 (1985-04-01), Rosencwaig
patent: 4534003 (1985-08-01), Manzione
patent: 4632818 (1986-12-01), Chen et al.
patent: 4661913 (1987-04-01), Wu et al.
patent: 4670404 (1987-06-01), Swift et al.
patent: 4751637 (1988-06-01), Catlin
patent: 4758533 (1988-07-01), Magee et al.
patent: 4819161 (1989-04-01), Konno et al.
patent: 4828224 (1989-05-01), Crabb et al.
patent: 4834866 (1989-05-01), Schmidt
patent: 4841479 (1989-06-01), Tsuji et al.
patent: 4908784 (1990-03-01), Box et al.
patent: 4933883 (1990-06-01), Pennebaker et al.
patent: 4935882 (1990-06-01), Pennebaker et al.
patent: 4967014 (1990-10-01), Masamoto
patent: 4985860 (1991-01-01), Vlach
patent: 4988166 (1991-01-01), Cook
patent: 5003118 (1991-03-01), Low et al.
patent: 5019998 (1991-05-01), Cowan et al.
patent: 5029119 (1991-07-01), Konno
patent: 5079731 (1992-01-01), Miller et al.
patent: 5081601 (1992-01-01), Eirikasson
patent: 5157620 (1992-10-01), Shaar
patent: 5202843 (1993-04-01), Kunimine et al.
patent: 5360534 (1994-11-01), Rice et al.
patent: 5362917 (1994-11-01), Ogawa et al.
patent: 5446870 (1995-08-01), Hinsberg, III et al.
patent: 5448498 (1995-09-01), Namiki et al.
patent: 5553004 (1996-09-01), Gronbech-Jensen et al.
P. J. Haas and G. S. Shedler, Simulation Algorithm for Passage Times in Colored Stochastic Petrinets, IBM TDB vol. 35, No. 1A, Jun. 1992, pp. 186-188.
C. Bianchi, G. Calzolari and P. Corsi, Stochastic Simulation: A Package for Monte Carlo Experiments on Econometric Models, IBM TDB vol. 20, No. 10, Mar. 1978, pp. 3972-3975.
K. A. Singmaster and F. A. Houle, Laser-Assisted Chemical Vapor Deposition from the Metal Hexacarbonyls, American Chemical Society, 203rd Nat. Meeting of American Chemical Society, San Francisco, CA Apr. 4-10, 1992.
F. A. Houle & K. A. Singmaster, Vislble Laser-Induced Nucleation and Growth of Cr, Mo, and W Films from the Hexacarbonyls. Reactivity of CO on Film Surfaces, Reprinted from the Journal of Physical Chemistry, 1992, 96. Sep. 1992.
G. Arthur Mihram, Simulation Statistical Foundations and Methodology, vol. 92 in Mathematics in Science and Engineering pp. 228-230, 1972 Jan. 1972.
N. T. J. Bailey, The elements of Stochastic Processes with Applications to the Natural Sciences, Chapter 7, Markov Processes in Continuous Time, pp. 66-69 no date.
S. J. Lombardo and A. T. Bell, A Review of Theoretical Models of Adsorption, Diffusion, Desorption, and Reaction of Gases on Metal Surfaces, Surface Science Reports 13 (1991) 1-72 North Holland Jan. 1991.
Hinsberg and Houle, MSIMPC v2.0: An Interactive Discrete Chemical Mechanism Simulator for the IBM PC (Laboratory and Classroom Version) IBM Research Report, 7814 (72196 Nov. 8, 1990 Chemistry Nov. 1990.
Bunker, Garrett, Kleindienst and Stevenson, Discrete Simulation Methods in Combustion Kinetics, Univ. of Calif. Irvine, Chemistry Dept. (paper) no date.
Bunker and Houle MSIM4--Discrete Simulator for Kinetic Mechanisms, Univ. of Calif. Irvine, Jul. 12, 1974 (paper).
Gillespie, Exact Stochastic Simulation of Coupled Chemical Reactions, Journal of Physical Chemistry, vol. 81, No. 25, 1977, pp. 2340-2361 Jan. 1977.
Gillespie, A General Method for Numerically Simulating the Stochastic Time Evolution of Coupled Chemical Reactions, Journal of Computational Physics vol. 22, No. 4, Dec. 1976, pp. 403-434.
Formosinho, Markov Chain Simulation of Chemical Reactions in Nonhomogeneous Systems, Journal of Chemical Education, vol. 49, No. 4, Apr. 1982.
Turner, Discrete Simulation Methods for Chemical Kinetics, Journal of Physical Chemistry, vol. 81, No. 25, 1977, pp. 2379-240 Jan. 1977.
Breuer, Honerkamp and Petruccione, A Stochastic Approach to Complex Chemical Reactions, Chemical Physics Letters, vol. 190, No. 3,4, Mar. 6, 1992 pp. 199-201.
Bunker, Garrett, Kleindienst, Stevenson, Discrete Simulation Methods in Combustion Kinetics, Combustion Institue, Combustion and Flame 23, 373-379 (1974) Jan. 1974.
Meyerson, Scott and Tsui, Experimental and Chemical Kinetic Modelling Study of Silicon CVD from Monosilane and Disilane, Chemtronics, vol. 1, Dec. 1986.
Hicks, Urbach, Plummer Dai, Can Pulsed Laser Excitation of Surfaces Be Described by a Thermal Model, Physical Review Letters, vol. 61, No. 22, 28 Nov. 1988, pp. 2588-2591.
Liarokapis and Raptis, Temperature Rise Induced by a CW Laser Beam Revisted, J. Appl. Phys. 47 (12), 15 Jun. 1985, pp. 5123-5126.
Barbero, Banon, Benito Santamaria, Stochastic Simulation Methods for Pollution Kinetics, Univ. Complutense, Madrid-3, 1984 Jan. 1984.
Hinsberg, III William D.
Houle Frances A.
International Business Machines - Corporation
Louis-Jacques Jacques
Pintner James C.
Teska Kevin J.
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