Elliott Waters Montroll - Publications

Affiliations: 
University of Rochester, Rochester, NY 
Area:
phase transitions, lattice dynamics, irreversibility, finite temperature quantum statistical physics, and traffic flow
Website:
http://en.wikipedia.org/wiki/Elliott_Waters_Montroll

30/95 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
1986 Reiss H, Hammerich AD, Montroll EW. Thermodynamic treatment of nonphysical systems: Formalism and an example (Single-lane traffic) Journal of Statistical Physics. 42: 647-687. DOI: 10.1007/Bf01127733  0.333
1984 Shlesinger MF, Montroll EW. On the Williams-Watts function of dielectric relaxation. Proceedings of the National Academy of Sciences of the United States of America. 81: 1280-3. PMID 16593426 DOI: 10.1073/Pnas.81.4.1280  0.326
1983 Hughes BD, Montroll EW, Shlesinger MF. Fractal and lacunary stochastic processes Journal of Statistical Physics. 30: 273-283. DOI: 10.1007/Bf01012302  0.344
1982 Hughes BD, Montroll EW, Shlesinger MF. Fractal random walks Journal of Statistical Physics. 28: 111-126. DOI: 10.1007/Bf01011626  0.348
1981 Montroll EW, Reiss H. Phase transition versus disorder: A criterion derived from a two-dimensional dynamic ferromagnetic model. Proceedings of the National Academy of Sciences of the United States of America. 78: 2659-63. PMID 16593012 DOI: 10.1073/Pnas.78.5.2659  0.324
1981 Montroll EW. On the dynamics of the Ising model of cooperative phenomena. Proceedings of the National Academy of Sciences of the United States of America. 78: 36-40. PMID 16592955 DOI: 10.1073/Pnas.78.1.36  0.322
1977 Landman U, Montroll EW, Shlesinger MF. Random walks and generalized master equations with internal degrees of freedom. Proceedings of the National Academy of Sciences of the United States of America. 74: 430-3. PMID 16592387 DOI: 10.1073/Pnas.74.2.430  0.316
1976 Landman U, Montroll EW. Adsorption on heterogeneous surfaces. I. Evaluation of the energy distribution function via the Wiener and Hopf method The Journal of Chemical Physics. 64: 1762-1767. DOI: 10.1063/1.432353  0.309
1975 Eminhizer CR, Helleman RHG, Montroll EW. On a convergent nonlinear perturbation theory without small denominators or secular terms Journal of Mathematical Physics. 17: 121-140. DOI: 10.1063/1.522791  0.304
1975 Montroll EW, West BJ. Scattering of waves by irregularities in periodic discrete lattice spaces. I. Reduction of problem to quadratures on a discrete model of the Schrödinger equation Journal of Statistical Physics. 13: 17-42. DOI: 10.1007/Bf01012597  0.31
1974 Helleman RHG, Montroll EW. On a nonlinear perturbation theory without secular terms. I. Classical coupled anharmonic oscillators Physica. 74: 22-74. DOI: 10.1016/0031-8914(74)90183-9  0.331
1973 Lee FT, Montroll EW, Yu Lp. Two-component ising chain with nearest-neighbor interaction Journal of Statistical Physics. 8: 309-333. DOI: 10.1007/Bf01020270  0.316
1973 Kenkre VM, Montroll EW, Shlesinger MF. Generalized master equations for continuous-time random walks Journal of Statistical Physics. 9: 45-50. DOI: 10.1007/Bf01016796  0.321
1972 Montroll EW. On coupled rate equations with quadratic nonlinearities. Proceedings of the National Academy of Sciences of the United States of America. 69: 2532-6. PMID 16592013 DOI: 10.1073/Pnas.69.9.2532  0.309
1969 Montroll EW. Random walks on lattices. III. Calculation of first-passage times with application to exciton trapping on photosynthetic units Journal of Mathematical Physics. 10: 753-765. DOI: 10.1063/1.1664902  0.314
1966 Montroll EW, Goel NS. Denaturation and renaturation of DNA. I. Equilibrium statistics of copolymeric DNA. Biopolymers. 4: 855-86. PMID 5975641 DOI: 10.1002/Bip.1966.360040805  0.311
1960 Mazur P, Montroll E. Poincaré cycles, ergodicity, and irreversibility in assemblies of coupled harmonic oscillators Journal of Mathematical Physics. 1: 70-84. DOI: 10.1063/1.1703637  0.525
1959 Domb C, Maradudin AA, Montroll EW, Weiss GH. Vibration frequency spectra of disordered lattices. I. Moments of the spectra for disordered linear chains Physical Review. 115: 18-24. DOI: 10.1103/Physrev.115.18  0.317
1959 Montroll EW, Ward JC. Quantum statistics of interacting particles II. Cluster integral development of transport coefficients Physica. 25: 423-443. DOI: 10.1016/S0031-8914(59)94541-0  0.31
1958 Montroll EW, Ward JC. Quantum statistics of interacting particles; General theory and some remarks on properties of an electron gas Physics of Fluids. 1: 55-72. DOI: 10.1063/1.1724337  0.317
1957 Montroll EW, Shuler KE. Studies in nonequilibrium rate processes.* I. the relaxation of a system of harmonic oscillators The Journal of Chemical Physics. 26: 454-464. DOI: 10.1063/1.1743326  0.349
1952 Montroll EW, Newell GF. Unsteady-state separation performance of cascades. I Journal of Applied Physics. 23: 184-194. DOI: 10.1063/1.1702171  0.309
1947 Montroll EW. Dynamics of a square lattice I. Frequency spectrum The Journal of Chemical Physics. 15: 575-591. DOI: 10.1063/1.1746601  0.329
1946 Montroll EW. A note on the theory of diffusion controlled reactions with application to the quenching of fluorescence The Journal of Chemical Physics. 14: 202-211. DOI: 10.1063/1.1724118  0.304
1944 Montroll EW, Peaslee DC. Frequency spectrum of crystalline solids. III. Body-centered cubic lattices The Journal of Chemical Physics. 12: 98-106. DOI: 10.1063/1.1723920  0.354
1943 Montroll EW. Erratum: Frequency Spectrum of Crystalline Solids. II. General Theory and Applications to Simple Cubic Lattices Journal of Chemical Physics. 11: 481-495. DOI: 10.1063/1.1723786  0.33
1942 Montroll EW. Frequency Spectrum of Crystalline Solids The Journal of Chemical Physics. 10: 218-229. DOI: 10.1063/1.1723710  0.373
1942 Montroll EW. Statistical mechanics of nearest neighbor systems II. General theory and application to two-dimensional ferromagnets The Journal of Chemical Physics. 10: 61-77. DOI: 10.1063/1.1723622  0.359
1941 Montroll EW. Statistical Mechanics of Nearest Neighbor Systems The Journal of Chemical Physics. 9: 706-721. DOI: 10.1063/1.1750981  0.322
1941 Montroll EW, Mayer JE. Statistical mechanics of imperfect gases The Journal of Chemical Physics. 9: 626-637. DOI: 10.1063/1.1750964  0.528
Low-probability matches (unlikely to be authored by this person)
1983 Montroll EW, Shlesinger MF. Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: A tale of tails Journal of Statistical Physics. 32: 209-230. DOI: 10.1007/Bf01012708  0.295
1940 Montroll EW, Simha R. Theory of depolymerization of long chain molecules The Journal of Chemical Physics. 8: 721-727. DOI: 10.1063/1.1750807  0.294
1965 Montroll EW, Weiss GH. Random Walks on Lattices. II Journal of Mathematical Physics. 6: 167-181. DOI: 10.1063/1.1704269  0.291
1945 Montroll EW. Phenomenological theory of emulsion polymerization The Journal of Chemical Physics. 13: 337-348. DOI: 10.1063/1.1724046  0.29
1981 Montroll EW. On the entropy function in sociotechnical systems. Proceedings of the National Academy of Sciences of the United States of America. 78: 7839-43. PMID 16593136 DOI: 10.1073/Pnas.78.12.7839  0.29
1968 Goel NS, Montroll EW. Denaturation and renaturation of DNA. II. Possible use of synthetic periodic copolymers to establish model and parameters. Biopolymers. 6: 731-65. PMID 5648279 DOI: 10.1002/Bip.1968.360060509  0.287
1981 Hughes BD, Shlesinger MF, Montroll EW. Random walks with self-similar clusters. Proceedings of the National Academy of Sciences of the United States of America. 78: 3287-91. PMID 16593023 DOI: 10.1073/Pnas.78.6.3287  0.286
1982 Montroll EW, Shlesinger MF. On 1/f noise and other distributions with long tails. Proceedings of the National Academy of Sciences of the United States of America. 79: 3380-3. PMID 16593191 DOI: 10.1073/Pnas.79.10.3380  0.284
1946 Montroll EW. A Note on Bessel Functions of Purely Imaginary Argument Journal of Mathematics and Physics. 25: 37-48. DOI: 10.1002/Sapm194625137  0.283
1973 Montroll EW, Scher H. Random walks on lattices. IV. Continuous-time walks and influence of absorbing boundaries Journal of Statistical Physics. 9: 101-135. DOI: 10.1007/Bf01016843  0.281
1983 Wu CH, Montroll EW. Kinetics of adsorption on stepped surfaces and the determination of surface diffusion constants Journal of Statistical Physics. 30: 537-547. DOI: 10.1007/Bf01012327  0.28
1958 Jackson JL, Montroll EW. Free radical statistics The Journal of Chemical Physics. 28: 1101-1109. DOI: 10.1063/1.1744351  0.277
1977 Ginsburg CA, Montroll EW. Application of a novel interpolative perturbation scheme to the determination of enharmonic oscillator wavefunctions Journal of Mathematical Physics. 19: 336-346. DOI: 10.1063/1.523509  0.276
1963 Montroll EW, Potts RB, Ward JC. Correlations and spontaneous magnetization of the two-dimensional Ising model Journal of Mathematical Physics. 4: 308-322. DOI: 10.1063/1.1703955  0.276
1970 Montroll EW. Quantum theory on a network. I. A solvable model whose wavefunctions are elementary functions Journal of Mathematical Physics. 11: 635-648. DOI: 10.1063/1.1665178  0.273
1958 Maradudin AA, Mazur P, Montroll EW, Weiss GH. Remarks on the vibrations of diatomic lattices Reviews of Modern Physics. 30: 175-196. DOI: 10.1103/Revmodphys.30.175  0.271
1951 Hart RW, Montroll EW. On the scattering of plane waves by soft obstacles. I. Spherical obstacles Journal of Applied Physics. 22: 376-386. DOI: 10.1063/1.1699968  0.27
1950 Montroll EW. Markoff chains and excluded volume effect in polymer chains The Journal of Chemical Physics. 18: 734-743. DOI: 10.1063/1.1747735  0.269
1956 Montroll EW, Potts RB. Effect of defects on lattice vibrations: Interaction of defects and an analogy with meson pair theory Physical Review. 102: 72-84. DOI: 10.1103/Physrev.102.72  0.268
1950 Montroll EW. Size Effect in Low Temperature Heat Capacities The Journal of Chemical Physics. 18: 183-185. DOI: 10.1063/1.1747584  0.268
1977 Montroll EW, Schwarz M. On the mapping of chains of first order chemical reactions on random walks. Bio Systems. 9: 175-86. PMID 597589 DOI: 10.1016/0303-2647(77)90001-6  0.266
1951 Montroll EW, Hart RW. Scattering of plane waves by soft obstacles. II. Scattering by cylinders, spheroids, and disks Journal of Applied Physics. 22: 1278-1289. DOI: 10.1063/1.1699840  0.262
1958 Bazley NW, Montroll EW, Rubin RJ, Shuler KE. Errata: Studies in Nonequilibrium Rate Processes. III. The Vibrational Relaxation of a System of Anharmonic Oscillators Journal of Chemical Physics. 29: 1185-1186. DOI: 10.1063/1.1744680  0.262
1958 Chandler RE, Herman R, Montroll EW. Traffic Dynamics: Studies in Car Following Operations Research. 6: 165-184. DOI: 10.1287/Opre.6.2.165  0.26
1971 Isihara A, Montroll EW. A note on the ground state energy of an assembly of interacting electrons. Proceedings of the National Academy of Sciences of the United States of America. 68: 3111-5. PMID 16591957 DOI: 10.1073/Pnas.68.12.3111  0.258
1959 Domb C, Maradudin AA, Montroll EW, Weiss GH. Vibration frequency spectra of disordered lattices. II. Spectra of disordered one-dimensional lattices Physical Review. 115: 24-36. DOI: 10.1103/Physrev.115.24  0.258
1954 Montroll EW. Frequency Spectrum of Vibrations of a Crystal Lattice The American Mathematical Monthly. 61: 46-73. DOI: 10.1080/00029890.1954.11988570  0.257
1955 Montroll EW, Potts RB. Effect of Defects on Lattice Vibrations Physical Review. 100: 525-543. DOI: 10.1103/Physrev.100.525  0.255
1978 Montroll EW. Social dynamics and the quantifying of social forces. Proceedings of the National Academy of Sciences of the United States of America. 75: 4633-7. PMID 16592564 DOI: 10.1073/Pnas.75.10.4633  0.252
1953 Newell GF, Montroll EW. On the Theory of the Ising Model of Ferromagnetism Reviews of Modern Physics. 25: 353-389. DOI: 10.1103/Revmodphys.25.353  0.249
1959 Herman R, Montroll EW, Potts RB, Rothery RW. Traffic Dynamics: Analysis of Stability in Car Following Operations Research. 7: 86-106. DOI: 10.1287/Opre.7.1.86  0.248
1979 Montroll EW, Shuler KE. Dynamics of technological evolution: Random walk model for the research enterprise. Proceedings of the National Academy of Sciences of the United States of America. 76: 6030-4. PMID 16592727 DOI: 10.1073/Pnas.76.12.6030  0.247
1984 Montroll EW, Bendler JT. On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation Journal of Statistical Physics. 34: 129-162. DOI: 10.1007/Bf01770352  0.245
1952 Montroll EW. Markoff chains, Wiener integrals, and quantum theory Communications On Pure and Applied Mathematics. 5: 415-453. DOI: 10.1002/Cpa.3160050403  0.242
1975 Scher H, Montroll EW. Anomalous transit-time dispersion in amorphous solids Physical Review B. 12: 2455-2477. DOI: 10.1103/Physrevb.12.2455  0.232
1952 Montroll EW, Greenberg JM. Scattering of plane waves by soft obstacles. III. Scattering by obstacles with spherical and circular cylindrical symmetry Physical Review. 86: 889-898. DOI: 10.1103/Physrev.86.889  0.226
1972 Herman R, Montroll EW. A manner of characterizing the development of countries. Proceedings of the National Academy of Sciences of the United States of America. 69: 3019-23. PMID 16592022 DOI: 10.1073/Pnas.69.10.3019  0.216
1972 Goldstein RA, Goel NS, Maitra SC, Montroll EW. Mathematical Properties of Several Population Dynamics Models Ecology. 53: 762. DOI: 10.2307/1934804  0.214
1977 Landman U, Montroll EW, Shlesinger MF. Motion of clusters on surfaces Physical Review Letters. 38: 285-289. DOI: 10.1103/Physrevlett.38.285  0.197
1984 Montroll EW, Raveché HJ, Devore JA. Joseph E. Mayer Physics Today. 37: 98-100. DOI: 10.1063/1.2916215  0.173
1943 Montroll EW. Frequency spectrum of crystalline solids. II. General theory and applications to simple cubic lattices The Journal of Chemical Physics. 11: 481-495.  0.158
1980 Scher H, Alexander S, Montroll EW. Field-induced trapping as a probe of dimensionality in molecular crystals. Proceedings of the National Academy of Sciences of the United States of America. 77: 3758-62. PMID 16592846  0.142
1958 Bazley NW, Montroll EW, Rubin RJ, Shuler KE. Studies in nonequilibrium rate processes. III. the vibrational relaxation of a system of anharmonic oscillators The Journal of Chemical Physics. 28: 700-704.  0.129
1967 Montroll EW. On nonlinear processes involving population growth and diffusion Journal of Applied Probability. 4: 281-290. DOI: 10.1017/S0021900200032046  0.123
1965 Montroll E. К столетию статистической механики Uspekhi Fizicheskih Nauk. 87: 341-347. DOI: 10.3367/UFNr.0087.196510f.0341  0.12
1947 Montroll EW. Averages over normal modes of coupled oscillators with application to theory of specific heats Quarterly of Applied Mathematics. 5: 223-227. DOI: 10.1090/qam/21481  0.114
1959 Dome C, Maradudin AA, Montroll EW, Weiss GH. The vibration spectra of disordered lattices Journal of Physics and Chemistry of Solids. 8: 419-421.  0.111
1974 Hioe FT, Montroll EW. Quantum theory of anharmonic oscillators. I. Energy levels of oscillators with positive quartic anharmonicity Journal of Mathematical Physics. 16: 1945-1955.  0.108
1978 Hioe FT, Macmillen D, Montroll EW. Quantum theory of anharmonic oscillators: Energy levels of a single and a pair of coupled oscillators with quartic coupling Physics Reports. 43: 305-335. DOI: 10.1016/0370-1573(78)90097-2  0.107
1941 Mayer JE, Montroll E. Molecular distribution The Journal of Chemical Physics. 9: 2-16.  0.107
1975 Hioe FT, MacMillen D, Montroll EW. Quantum theory of anharmonic oscillators. II. Energy levels of oscillators with x2α anharmonicity Journal of Mathematical Physics. 17: 1320-1337.  0.106
1947 Montroll EW. On the Theory of Markoff Chains The Annals of Mathematical Statistics. 18: 18-36. DOI: 10.1214/aoms/1177730489  0.103
1970 Mills RGJ, Montroll EW. Quantum theory on a network. II. A solvable model which may have several bound states per node point Journal of Mathematical Physics. 11: 2525-2538.  0.098
1974 Hioe FT, Montroll EW. Two-level radiative systems and perturbation theory Journal of Mathematical Physics. 16: 1259-1270.  0.094
1941 Montroll E. Molecular size distributions and depolymerization reactions in polydisperse systems Journal of the American Chemical Society. 63: 1215-1220.  0.088
1952 Berlin TH, Montroll EW. On the free energy of a mixture of ions: An extension of kramers' theory The Journal of Chemical Physics. 20: 75-84.  0.086
1949 Montroll EW. Continuum models of cooperative phenomenon Il Nuovo Cimento Series 9. 6: 265-278. DOI: 10.1007/BF02780990  0.072
1973 Montroll EW. Surface properties of a network model of electrons in solids Journal of Physics and Chemistry of Solids. 34: 597-610. DOI: 10.1016/S0022-3697(73)80165-9  0.057
1971 Goel NS, Maitra SC, Montroll EW. On the volterra and other nonlinear models of interacting populations Reviews of Modern Physics. 43: 231-276. DOI: 10.1103/RevModPhys.43.231  0.056
1987 Montroll EW. On the dynamics and evolution of some sociotechnical systems Bulletin of the American Mathematical Society. 16: 1-47. DOI: 10.1090/S0273-0979-1987-15462-0  0.054
1975 Wu CH, Montroll EW. NETWORK MODEL OF ELECTRONIC STATES OF THIN FILMS, SOLID INTERFACES, AND PLANAR DEFECTS J Nonmet Semicond. 2: 153-191.  0.051
1973 Gazis DC, Montroll EW, Ryniker JE. Age-specific, Deterministic Model of Predator-Prey Populations: Application to Isle Royale Ibm Journal of Research and Development. 17: 47-53. DOI: 10.1147/rd.171.0047  0.042
1951 Montroll EW, Berlin TH. An analytical approach to the ising problem Communications On Pure and Applied Mathematics. 4: 23-30. DOI: 10.1002/cpa.3160040104  0.04
1975 Smith RP, Montroll EW, Badger WW, Blalock HM. Introduction to Quantitative Aspects of Social Phenomena. The Economic Journal. 85: 942. DOI: 10.2307/2230655  0.022
1967 Montroll EW. III. The Science Curriculum Siam Review. 9: 326-346. DOI: 10.1137/1009064  0.014
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