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Rutherford Aris, Ph.D. - Publications

Affiliations: 
1958-2005 Chemical Engineering University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Chemical Engineering, Applied Mathematics
Website:
https://cse.umn.edu/college/feature-stories/memoriam-rutherford-aris
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91 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
1999 Mckarnin MA, Schmidt LD, Aris R. L. Forced oscillations of a self-oscillating bimolecular surface reaction model Process Systems Engineering. 1: 307-333. DOI: 10.1016/S1874-5970(99)80022-8  0.438
1999 Mckarnin MA, Aris R, Schmidt LD. K. Autonomous bifurcations of a simple bimolecular surface-reaction model Process Systems Engineering. 1: 282-306. DOI: 10.1016/S1874-5970(99)80021-6  0.56
1999 Amundson NR, Aris R. H. Reaction of a continuous mixture in a bubbling fluidized bed Process Systems Engineering. 1: 211-224. DOI: 10.1016/S1874-5970(99)80017-4  0.706
1999 Kevrekidis IG, Schmidt LD, Aris R. I. Some common features of periodically forced reacting systems Process Systems Engineering. 1: 227-251. DOI: 10.1016/0009-2509(86)87099-3  0.632
1994 Balakrishna A, Schmidt LD, Aris R. Pt-catalyzed combustion of CH4C3H8 mixtures Chemical Engineering Science. 49: 11-18. DOI: 10.1016/0009-2509(94)85029-1  0.527
1994 Vlachos DG, Schmidt LD, Aris R. Products in methane combustion near surfaces Aiche Journal. 40: 1018-1025. DOI: 10.1002/Aic.690400612  0.453
1994 Vlachos DG, Schmidt LD, Aris R. Ignition and extinction of flames near surfaces: combustion of CH4 in air Aiche Journal. 40: 1005-1017. DOI: 10.1002/Aic.690400611  0.502
1993 Vlachos DG, Schmidt LD, Aris R. Kinetics of faceting of crystals in growth, etching, and equilibrium. Physical Review. B, Condensed Matter. 47: 4896-4909. PMID 10006649 DOI: 10.1103/Physrevb.47.4896  0.509
1993 Vlachos DG, Schmidt LD, Aris R. Comparison of small metal clusters: Ni, Pd, Pt, Cu, Ag, Au Zeitschrift FüR Physik D Atoms, Molecules and Clusters. 26: 156-158. DOI: 10.1007/Bf01425649  0.566
1993 Amundson NR, Aris R. Reaction of a continuous mixture in a bubbling fluidized bed Chemical Engineering Research and Design. 71: 611-617.  0.719
1992 Vlachos DG, Schmidt LD, Aris R. Structures of small metal clusters. II. Phase transitions and isomerization The Journal of Chemical Physics. 96: 6891-6901. DOI: 10.1063/1.462583  0.463
1992 Vlachos DG, Schmidt LD, Aris R. Structures of small metal clusters. I. Low temperature behavior The Journal of Chemical Physics. 96: 6880-6890. DOI: 10.1063/1.462582  0.452
1992 Vlachos DG, Schüth F, Aris R, Schmidt LD. Spatial and temporal patterns in catalytic oscillations Physica a: Statistical Mechanics and Its Applications. 188: 302-321. DOI: 10.1016/0378-4371(92)90275-U  0.634
1992 Vlachos DG, Schmidt LD, Aris R. Structure of small catalyst particles Chemical Engineering Science. 47: 2769-2774. DOI: 10.1016/0009-2509(92)87127-C  0.476
1992 Olsen RJ, Williams WR, Song X, Schmidt LD, Aris R. Dynamics of homogeneous-heterogeneous reactors Chemical Engineering Science. 47: 2505-2510. DOI: 10.1016/0009-2509(92)87084-4  0.546
1991 Vlachos DG, Schmidt LD, Aris R. Kinetics of Facet Formation During Growth and Etching of Crystals Mrs Proceedings. 237. DOI: 10.1557/Proc-237-145  0.505
1991 Vlachos DG, Schmidt LD, Aris R. The effect of phase transitions, surface diffusion, and defects on heterogeneous reactions: multiplicities and fluctuations Surface Science. 249: 248-264. DOI: 10.1016/0039-6028(91)90850-R  0.65
1991 Song X, Williams WR, Schmidt LD, Aris R. Bifurcation behavior in homogeneous-heterogeneous combustion: II. Computations for stagnation-point flow Combustion and Flame. 84: 292-311. DOI: 10.1016/0010-2180(91)90007-X  0.557
1991 Song X, Schmidt LD, Aris R. Steady states and oscillations in homogeneous-heterogeneous reaction systems Chemical Engineering Science. 46: 1203-1215. DOI: 10.1016/0009-2509(91)85049-4  0.567
1990 Vlachos DG, Schmidt LD, Aris R. The effects of phase transitions, surface diffusion, and defects on surface catalyzed reactions: Fluctuations and oscillations The Journal of Chemical Physics. 93: 8306-8313. DOI: 10.1063/1.459313  0.541
1990 Cordonier GA, Schmidt LD, Aris R. Forced oscillations of chemical reactors with multiple steady states Chemical Engineering Science. 45: 1659-1675. DOI: 10.1016/0009-2509(90)87045-T  0.533
1990 Ray A, Tonkovich A, Aris R, Carr R. The simulated countercurrent moving bed chromatographic reactor Chemical Engineering Science. 45: 2431-2437. DOI: 10.1016/0009-2509(90)80125-X  0.31
1989 SONG X, SCHMIDT L, ARIS R. SHOOTING METHOD FOR BIFURCATION ANALYSIS OF BOUNDARY VALUE PROBLEMS† Chemical Engineering Communications. 84: 217-229. DOI: 10.1080/00986448908940343  0.542
1988 McKarnin MA, Schmidt LD, Aris R. Response of nonlinear oscillators to forced oscillations: Three chemical reaction case studies Chemical Engineering Science. 43: 2833-2844. DOI: 10.1016/0009-2509(88)80026-5  0.518
1986 Aronson DG, McGehee RP, Kevrekidis IG, Aris R. Entrainment regions for periodically forced oscillators. Physical Review. A. 33: 2190-2192. PMID 9896891 DOI: 10.1103/Physreva.33.2190  0.46
1986 Kevrekidis IG, Aris R, Schmidt LD. Forcing an entire bifurcation diagram: Case studies in chemical oscillators Physica D: Nonlinear Phenomena. 23: 391-395. DOI: 10.1016/0167-2789(86)90145-4  0.598
1986 Kevrekidis IG, Aris R, Schmidt LD. Resonance in periodically forced processes Chemical Engineering Science. 41: 905-911. DOI: 10.1016/0009-2509(86)87174-3  0.599
1986 Kevrekidis IG, Schmidt LD, Aris R. Some common features of periodically forced reacting systems Chemical Engineering Science. 41: 1263-1276. DOI: 10.1016/0009-2509(86)87099-3  0.385
1986 Kevrekidis IG, Aris R, Schmidt LD. The stirred tank forced Chemical Engineering Science. 41: 1549-1560. DOI: 10.1016/0009-2509(86)85237-X  0.615
1986 Farr WW, Aris R. "Yet who would have thought the old man to have had so much blood in him?"-Reflections on the multiplicity of steady states of the stirred tank reactor Chemical Engineering Science. 41: 1385-1402. DOI: 10.1016/0009-2509(86)85226-5  0.329
1985 Kevrekidis IG, Aris R, Schmidt LD, Pelikan S. Numerical computation of invariant circles of maps Physica D: Nonlinear Phenomena. 16: 243-251. DOI: 10.1016/0167-2789(85)90061-2  0.583
1985 Petroulas T, Aris R, Carr RW. Analysis and performance of a countercurrent moving-bed chromatographic reactor Chemical Engineering Science. 40: 2233-2240. DOI: 10.1016/0009-2509(85)85125-3  0.307
1984 Kevrekidis IG, Schmidt LD, Aris R. On the dynamics of periodically forced chemical reactors Chemical Engineering Communications. 30: 323-330. DOI: 10.1080/00986448408911136  0.626
1984 LAUFFENBURGER D, KENNEDY C, ARIS R. Traveling bands of chemotactic bacteria in the context of population growth Bulletin of Mathematical Biology. 46: 19-40. DOI: 10.1016/S0092-8240(84)80033-6  0.335
1984 Kevrekidis I, Schmidt LD, Aris R. Rate multiplicity and oscillations in single species surface reactions Surface Science. 137: 151-166. DOI: 10.1016/0039-6028(84)90682-4  0.634
1984 Lauffenburger D, Kennedy CR, Aris R. Traveling bands of chemotactic bacteria in the context of population growth Bulletin of Mathematical Biology. 46: 19-40. DOI: 10.1007/bf02463721  0.335
1983 Zygourakis K, Aris R. Multiple oxidation reactions and diffusion in the catalytic layer of monolith reactors Chemical Engineering Science. 38: 733-744. DOI: 10.1016/0009-2509(83)80184-5  0.711
1983 Kuan DY, Davis HT, Aris R. Effectiveness of catalytic archipelagos-I Regular arrays of regular islands Chemical Engineering Science. 38: 719-732. DOI: 10.1016/0009-2509(83)80183-3  0.346
1983 Jorgensen D, Aris R. On the dynamics of a stirred tank with consecutive reactions Chemical Engineering Science. 38: 45-53. DOI: 10.1016/0009-2509(83)80133-X  0.354
1983 Kuan DY, Aris R, Davis HT. Effectiveness of catalytic archipelagos-II. Random arrays of random islands Chemical Engineering Science. 38: 1569-1579. DOI: 10.1016/0009-2509(83)80093-1  0.351
1982 Lauffenburger D, Aris R, Keller K. Effects of cell motility and chemotaxis on microbial population growth. Biophysical Journal. 40: 209-19. PMID 7183335 DOI: 10.1016/S0006-3495(82)84476-7  0.692
1982 Cho BK, Aris R, Carr RW. The Mathematical Theory of a Countercurrent Catalytic Reactor Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 383: 147-189. DOI: 10.1098/Rspa.1982.0125  0.341
1982 Svoronos S, Aris R, Stephanopoulos G. On the behaviour of two stirred tanks in series Chemical Engineering Science. 37: 357-366. DOI: 10.1016/0009-2509(82)80087-0  0.712
1982 Takoudis CG, Schmidt LD, Aris R. Isothermal oscillations in surface reactions with coverage independent parameters Chemical Engineering Science. 37: 69-76. DOI: 10.1016/0009-2509(82)80068-7  0.667
1981 Lauffenburger D, Aris R, Keller KH. Effects of random motility on growth of bacterial populations. Microbial Ecology. 7: 207-27. PMID 24227496 DOI: 10.1007/Bf02010304  0.684
1981 Takoudis CG, Schmidt LD, Aris R. Isothermal sustained oscillations in a very simple surface reaction Surface Science. 105: 325-333. DOI: 10.1016/0039-6028(81)90165-5  0.63
1981 Takoudis CG, Schmidt LD, Aris R. Steady state multiplicity in surface reactions with coverage dependent parameters Chemical Engineering Science. 36: 1795-1802. DOI: 10.1016/0009-2509(81)80127-3  0.659
1980 Cho BK, Carr RW, Aris R. A continuous chromatographic reactor Chemical Engineering Science. 35: 74-81. DOI: 10.1016/0009-2509(80)80072-8  0.321
1979 Stephanopoulos G, Aris R, Fredrickson AG. A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor Mathematical Biosciences. 45: 99-135. DOI: 10.1016/0025-5564(79)90098-1  0.65
1979 Lauffenburger D, Aris R. Measurement of leukocyte motility and chemotaxis parameters using a quantitative analysis of the under-agarose migration assay Mathematical Biosciences. 44: 121-138. DOI: 10.1016/0025-5564(79)90032-4  0.339
1979 Stephanopoulos G, Frederickson AG, Aris R. The growth of competing microbial populations in a CSTR with periodically varying inputs Aiche Journal. 25: 863-872. DOI: 10.1002/Aic.690250515  0.426
1977 Georgakis C, Aris R, Amundson NR. Studies in the control of tubular reactors-III stabilization by observer design Chemical Engineering Science. 32: 1381-1387. DOI: 10.1016/0009-2509(77)85034-3  0.773
1977 Georgakis C, Aris R, Amudson NR. Studies in the control of tubular reactors-II Stabilization by modal control Chemical Engineering Science. 32: 1371-1379. DOI: 10.1016/0009-2509(77)85033-1  0.675
1977 Georgakis C, Aris R, Amundson NR. Studies in the control of tubular reactors-I General Considerations Chemical Engineering Science. 32: 1359-1369. DOI: 10.1016/0009-2509(77)85032-X  0.772
1977 Schneider DR, Aris R, Amundson NR. An analysis of chemical reactor stability and sensitivity - XIV the effect of the steady state hypothesis Chemical Engineering Science. 28: 885-896. DOI: 10.1016/0009-2509(77)80023-7  0.756
1976 Georgakis C, Aris R, Amundson NR. Stabilization of unstable nonlinear distributed chemical reactors by observer design Ieee Transactions On Automatic Control. 13: 161-170. DOI: 10.1109/Jacc.1976.4170206  0.763
1975 Georgakis C, Aris R. Diffusion, reaction and the pseudo-steady-state hypothesis Mathematical Biosciences. 25: 237-258. DOI: 10.1016/0025-5564(75)90005-X  0.664
1974 Georgakis C, Aris R. Communications on the theory of diffusion and reaction - X. A generalization of Wei's bounds on the maximum temperature Chemical Engineering Science. 29: 291-293. DOI: 10.1016/0009-2509(74)85057-8  0.645
1973 Shuler ML, Tsuchiya HM, Aris R. Diffusive and electrostatic effects with insolubilized enzymes subject to substrate inhibition. Journal of Theoretical Biology. 41: 347-56. PMID 4201613 DOI: 10.1016/0022-5193(73)90123-9  0.654
1972 Shuler ML, Aris R, Tsuchiya HM. Hydrodynamic focusing and electronic cell-sizing techniques. Applied Microbiology. 24: 384-8. PMID 16349933  0.653
1972 Shuler ML, Aris R, Tsuchiya HM. Diffusive and electrostatic effects with insolubilized enzymes. Journal of Theoretical Biology. 35: 67-76. PMID 5044831 DOI: 10.1016/0022-5193(72)90192-0  0.657
1972 Aris R, Keller KH. Asymmetries generated by diffusion and reaction, and their bearing on active transport through membranes. Proceedings of the National Academy of Sciences of the United States of America. 69: 777-9. PMID 4502929  0.601
1972 Rester S, Aris R. Communications on the theory of diffusion and reaction—VIII Variational bounds on the effectiveness factor Chemical Engineering Science. 27: 347-360. DOI: 10.1016/0009-2509(72)85071-1  0.354
1972 Schneider DR, Amundson NR, Aris R. On a mechanism for autocatalysis Chemical Engineering Science. 27: 895-905. DOI: 10.1016/0009-2509(72)80005-8  0.734
1971 Mehta B, Aris R. Communications on the theory of diffusion and reaction—VII The isothermal pth order reaction Chemical Engineering Science. 26: 1699-1712. DOI: 10.1016/0009-2509(71)86058-X  0.304
1970 Pell TM, Aris R. Problems in Chemical Reactor Analysis with Stochastic Features. Control of Linearized Distributed Systems on Discrete and Corrupted Observations Industrial & Engineering Chemistry Fundamentals. 9: 15-20. DOI: 10.1021/I160033A003  0.31
1970 Copelowitz I, Aris R. Communications on the theory of diffusion and reaction - VI. The effectiveness of spherical catalyst particles in steep external gradients Chemical Engineering Science. 25: 885-896. DOI: 10.1016/0009-2509(70)85123-5  0.369
1970 Wheeler JM, Aris R. Studies in optimization — XI An experimental test of questing controller Chemical Engineering Science. 25: 445-462. DOI: 10.1016/0009-2509(70)80043-4  0.307
1969 Pell TM, Aris R. Some Problems in Chemical Reactor Analysis with Stochastic Features. Linear Systems with Fluctuating Coefficients Industrial & Engineering Chemistry Fundamentals. 8: 339-345. DOI: 10.1021/I160030A026  0.302
1969 Hatfield B, Aris R. Communications on the theory of diffusion and reaction — IV Combined effects of internal and external diffusion in the non-isothermal case Chemical Engineering Science. 24: 1213-1222. DOI: 10.1016/0009-2509(69)85041-4  0.34
1969 Drott D, Aris R. Communications on the theory of diffusion and reaction—I A complete parametric study of the first-order, irreversible exothermic reaction in a flat slab of catalyst Chemical Engineering Science. 24: 541-551. DOI: 10.1016/0009-2509(69)85025-6  0.359
1966 Swanson CH, Aris R, Fredrickson AG, Tsuchiya HM. Bacterial growth as an optimal process. Journal of Theoretical Biology. 12: 228-50. PMID 5972193 DOI: 10.1016/0022-5193(66)90115-9  0.712
1966 Tsuchiya HM, Fredrickson AG, Aris R. Dynamics of Microbial Cell Populations Advances in Chemical Engineering. 6: 125-206. DOI: 10.1016/S0065-2377(08)60275-6  0.721
1965 Denn MM, Aris R. Green's Functions and Optimal Systems. Complex Interconnected Structures Industrial & Engineering Chemistry Fundamentals. 4: 248-257. DOI: 10.1021/I160015A002  0.488
1965 Denn M, Aris R. Second order variational equations and the strong maximum principle Chemical Engineering Science. 20: 373-384. DOI: 10.1016/0009-2509(65)80050-1  0.533
1965 Denn MM, Aris R. Generalized Euler Equations Zeitschrift FüR Angewandte Mathematik Und Physik Zamp. 16: 290-295. DOI: 10.1007/BF01587652  0.427
1965 Denn MM, Aris R. An elementary derivation of the maximum principle Aiche Journal. 11: 367-368. DOI: 10.1002/aic.690110233  0.438
1964 ARIS R, DENN MM. N-Segment Least-Squares Approximation Aiaa Journal. 2: 1516-1516. DOI: 10.2514/3.55079  0.413
1964 Aris R. Algebra of Systems of Second-Order Reactions Industrial & Engineering Chemistry Fundamentals. 3: 28-37. DOI: 10.1021/I160009A006  0.304
1964 Warden RB, Aris R, Amundson NR. An analysis of chemical reactor stability and control-IX. Further investigations into the direct method of Lyapunov Chemical Engineering Science. 19: 173-190. DOI: 10.1016/0009-2509(64)85028-4  0.744
1964 Warden RB, Aris R, Amundson NR. An analysis of chemical reactor stability and control-VIII. The direct method of Lyapunov. Introduction and applications to simple reactions in stirred vessels Chemical Engineering Science. 19: 149-172. DOI: 10.1016/0009-2509(64)85027-2  0.749
1963 Aris R, Mah RHS. Independence of Chemical Reactions Industrial & Engineering Chemistry Fundamentals. 2: 90-94. DOI: 10.1021/I160006A002  0.327
1961 Aris R. Studies in optimization—IV Chemical Engineering Science. 13: 197-206. DOI: 10.1016/0009-2509(61)80017-1  0.334
1960 Aris R, Rudd DF, Amundson NR. On optimum cross-current extraction Chemical Engineering Science. 12: 88-97. DOI: 10.1016/0009-2509(60)87002-9  0.696
1960 Aris R. Studies in optimization—II Chemical Engineering Science. 13: 18-29. DOI: 10.1016/0009-2509(60)80014-0  0.36
1960 Aris R. Studies in optimization—I: The optimum design of adiabatic reactors with several beds Chemical Engineering Science. 12: 243-252. DOI: 10.1016/0009-2509(60)80002-4  0.338
1959 Aris R, Amundson NR. Statistical analysis of a reaction. Linear theory Chemical Engineering Science. 9: 250-262. DOI: 10.1016/0009-2509(59)85007-7  0.742
1959 Nemanic DJ, Tierney JW, Aris R, Amundson NR. An analysis of chemical reactor stability and control-IV. Mixed derivative and proportional control Chemical Engineering Science. 11: 199-206. DOI: 10.1016/0009-2509(59)80087-7  0.715
1959 Aris R. Diffusion and reaction in flow systems of Turner's structures Chemical Engineering Science. 10: 80-87. DOI: 10.1016/0009-2509(59)80027-0  0.328
1957 Aris R, Amundson NR. Some remarks on longitudinal mixing or diffusion in fixed beds Aiche Journal. 3: 280-282. DOI: 10.1002/Aic.690030226  0.7
1954 Bosanquet CH, Aris R. On the application of Angström's method of measuring thermal conductivity British Journal of Applied Physics. 5: 252-255. DOI: 10.1088/0508-3443/5/7/304  0.718
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