Publications
1. Elastic Moduli of a Fluid of Rigid Spheres,
Bruce N. Miller, J. Chem. Phys., 50, 2733 (1968).
2. Electromagnetic Theory of Light Scattering
from an Inhomogeneous Fluid, Bruce N. Miller, J. Comp. Phys., 7, 555 (1971).
3. The Statistical Mechanical Derivation of
the Stress Tensor and Heat Flux for a System of Spherical Molecules, Bruce N.
Miller, J. Math. Phys., 12, 2175 (1971).
4. Convergence of the Long Wavelength
Expansions for the Stress Tensor and Heat Flux in a Classical Non-Equilibrium
Fluid, Bruce N. Miller, Physics of Fluids, 14 (2541).
5. Light Scattering from an Inhomogeneous
Fluid, Bruce N. Miller and Ove Splittorff, Journal of
the Optical Society of America, 62, 2191 (1972).
6. Gravity Effects on Light Scattering from a
Simple Fluid Near Its Critical Point, Ove Splittorff
and Bruce N. Miller, Physical Review A, 9, 550 (1974).
7. Effect of Gravity on Critical
Opalescence: The Turbidity, H. K. Leung
and Bruce N. Miller, Physical Review A, 12, 2162 (1975).
8. Effect of Gravity on the Rayleigh Linewidth Near the Critical Point, H. K. Leung and Bruce N.
Miller, Physical Review A, 16,
406 (1977).
9. Comment on "Effect of Non-Zero Beam
Diameter on Light Scattering Near the Critical Point," H. K. Leung and Bruce N. Miller,
Physical Review A, 16, 435
(1979).
10. Comment on "Gravity Effects in Light
Scattering Experiments from Simple Fluids", Scott C. Hornbostel
and Bruce N. Miller, Physical Review A, 20, 1728 (1979).
11. Heat Flow in a Linear Harmonic Chain: An Information-Theoretic Approach to the Nonequilibrium Stationary State, Bruce N. Miller and Peter
N. Larson, Physical Review A, 20, 1717 (1979).
12.
Diffusion
Modeling of the Rayleigh Piston, Bruce N. Miller and William E. Stein, Journal
of Statistical Physics, 26, 539 (1980).
13.
The
Relaxation Time of a One Dimensional Self-Gravitating System, H. L. Wright, B.
N. Miller and W. E. Stein, Astrophysics and Space Science, 84, 421
(1982).
14.
Non-Classical
Algorithms, W. E. Stein and Bruce N. Miller, Proceedings of the Second World
Conference on Mathematics in the Service of Man (Universidad Politecnica de Las Palmas, Las Palmas, 1982).
15. Gravity in One Dimension: A Dynamical and Statistical Study, H. L.
Wright and Bruce N. Miller, Physical Review A. 29, 1411 (1984).
16. Numerical Study of the Relaxation of
One-Dimensional Gravitational Systems: A
Reply, Bruce N. Miller, H. L. Wright and W. E. Stein, Journal of Astrophysics
and Space Science 96, 3658 (1984).
17. Macroscopic Theory of Localization in a
Classical Fluid, Bruce N. Miller, Physical Review A. 30, 3343 (1984).
18. Transition to Mean Field Behavior of a Quantum
Particle in a Classical Gas, B. N. Miller, Y. M. Kowalski and S. C. Sharma,
Positron Annihilation (Proceedings of the Seventh International Conference on
Positron Annihilation), Eds. P. C. Jain, R. M. Singru,
and K. P. Gopinathan (World Scientific, Singapore,
1985).
19. Quantum-Kinetic Theory of Light Particle
Localization in Simple Fluids, Bruce N. Miller, Positron Annihilation
(Proceedings of the Seventh International Conference on Positron Annihilation),
Eds. P. C. Jain, R. M. Singru, and K. P Gopinathan (World Scientific, Singapore, 1985).
20. Stability Limit for Self-Trapped States of
Light Particles in Fluids, J. M. Kowalski, B. N. Miller, J. L. Fry, and S. C.
Sharma, Positron Annihilation (Proceedings of the Seventh International
Conference on Positron Annihilation), Eds. P. C. Jain, R. M. Singru, and K. P. Gopinathan
(World Scientific, Singapore, 1985).
21.
Virial
Theorem for Localized States of a Quantum Particle in Classical Fluids Close to
the Critical Point, J. M. Kowalski and B. N. Miller, Physics Letters 110,
457 (1985).
22.
Numerical
Study of a Billiard in a Gravitational Field, H. Lehtihet
and B. N. Miller, Physica D. 21, 93 (1986).
23.
Gravity
in One Dimension: Stability of a Three
Particle System, A. Matulich and
B. N. Miller,
Celestial Mechanics 39, 191 (1986).
24. Gravity in One Dimension: Selective
Relaxation, C. Reidl and B. N. Miller, The Astrophysical Journal 318, 248 (1987).
25. Falling Body in a Wedge, B . N. Miller and H. Lehtihet, Proceedings of the International Workshop on
Teaching Nonlinear Phenomena at Schools and Universities, ed. George Marx (National Center for
Educational Technology, Veszprem, Hungary, 1987) pp. 318-324.
26. Dynamical Microscopic Model of the Quantum
Particle-Fluid Interaction, Bruce N. Miller Proceedings of the International
Symposium on Positron Annihilation Studies of Fluids, ed. S. Sharma, World
Scientific, Singapore, 1988, pp. 81-85.
27. Transition to the Localized State, Zhihong Wu and Bruce N. Miller, Proceedings of the
International Symposium on Positron Annihilation Studies of Fluids, ed. S.
Sharma, World Scientific, Singapore, 1988, pp. 253-258.
28. Self Trapping of
Positronium in a Classical Fluid, Terrence Reese and
Bruce N. Miller, Proceedings of the International Symposium on Positron Annihilation
Studies of Fluids, ed. S. Sharma, World Scientific, Singapore, 1988, pp.
259-264.
29. Comment on Localization and Annihilation
Rates of Short Lived Quantum Particles in Fluids, J. M. Kowalski, S. C. Sharma
and B. N. Miller, Proceedings of the International Symposium on Positron
Annihilation Studies of Fluids, ed. S. C. Sharma, World Scientific, Singapore,
1988, pp. 368-377.
30.
Gravity
in One Dimension: Quasi-Equilibrium,
Charles J. Reidl, Jr. and Bruce N. Miller, The Astrophysical Journal 332, 619 (1988).
31.
Stochastic
Modeling of a Billiard in a Gravitational Field: Powerlaw
Behavior of Lyapunov Exponents, B. N. Miller and K. Ravishankar, Journal of Statistical Physics 53, 1299
(1988).
32.
Positronium
Decay Study of Pore Sizes in Silica Sol-Gels; T. W. Zerda, G. Hoang, B. Miller,
C. A. Quarles and G. Orcel; Better Ceramics for
Chemistry, Materials Research Symposium
Proceedings 121, Nostrand, Amsterdam, 1988, p.
65
33.
Theory
of Self-Trapping with a Realistic Equation of State, B. N. Miller and Terrence
Reese, Positron Annihilation, eds.
L. Dorikens-Vanpraet, M. Dorikens
and D. Segers,
World Scientific,
Singapore, 1989, pp.733-746.
34. Self-Trapping of a Light Particle in a
Dense Fluid: A Mesoscopic
Model, Bruce N. Miller and Terrence Reese, Physical Review Part A 39,
4735 (1989).
35. Transition to Collective Behavior of a
Quantum Particle in a Classical Fluid, B. N. Miller, H. Lehtihet,
J. M. Kowalski and S. C. Sharma, J.
Physics B 22, 1477 (1989).
36. Transition to Collective Behavior of a
Quantum Particle in a Classical Fluid, B. N. Miller, H. Lehtihet,
J. M. Kowalski and S. C. Sharma, J. Physics B 22, 1477 (1989).
37. Exact Solution of One-Dimensional
Self-Trapping Systems in the Mean Field Approximation; Yzhong
Fan and Bruce Miller; Journal of Physics A 22, 3849-3858 (1989).
38. Gravity in One Dimension: Persistence of
Correlation, Bruce N. Miller and Charles J. Reidl; The Astrophysical Journal 348, 203 (1990).
39. Path-integral Approach to Density
Fluctuations in Self-Trapping Systems, Yzhong Fan and
Bruce N. Miller, Physical Review B 41, 4756 (1990).
40.
Localization in Fluids: A Comparison of
Competing Theories and their Application to Positron Annihilation, Bruce N.
Miller and Yzhong Fan, Physical Review A 42,
2228 (1990).
41.
Localization
in a Lennard-Jones Fluid: The Path-Integral Approach,
Yzhong Fan and Bruce N. Miller, Journal of Chemical
Physics, 93, 4322 (1990).
42.
Self-Trapping
of a Light Particle in a Dense Fluid: Application of Scaled Density-Functional
Theory to the Decay of Ortho-Positronium, Terrence
Reese and Bruce N. Miller, Physical Review A, 42, 6068 (1990).
43.
Behavior
of Light Particles in Fluids, Bruce N. Miller, Proceedings of the Third
International Workshop on Positron and Positronium
Chemistry, ed. Y. C. Jean, (World Scientific, Singapore, 1990), p. 274.
44.
Gravity
in One Dimension: A Correction for Ensemble Averaging, Charles Reidl and Bruce N. Miller, The Astrophysical Journal, 371,
260 (1991).
45.
Localization in Fluids: Competing Theories and
their Application to Positron Annihilation,
Integral Methods in Science
and Engineering-90, ed. A.
Haji-Sheikh, (Hemisphere Publishing Corp., New York, 1991), p. 581.
46. Gravity
in One Dimension: Diffusion in Acceleration, Bruce N. Miller, Journal of
Statistical Physics, 63, 291 (1991).
47.
Positron Annihilation as a Probe of Localized States in Fluids, Bruce N.
Miller, Condensed Matter Theories vol. 7, eds. A. N.
Proto and J. L. Aliaga (Plenum Press, New
York, 1992) p.131.
48. Path-Integral Formulation of Lifetimes in
Fluids, B. N. Miller and G. Worrell, Positron Annihilation, eds. Zs. Kajcsos and Cs. Szeles, (Trans Tech Publications, Aedermannsdorf,
Switzerland, 1992) p.385.
49. Gravity in One Dimension: Stability of
Periodic Orbits, Charles J. Reidl, Jr. and Bruce N.
Miller, Physical Review A, 46, 837 (1992).
50. Positron Annihilation in Xenon: The
Path-integral Approach, G. A. Worrell and Bruce N. Miller, Physical Review A, 46, 3380
(1992).
51. Positronium in Xenon: The Path Integral Approach, Terrence
Reese and Bruce N. Miller, Physical Review E, 47, 2581 (1993).
52. Positron Lifetime Distributions in Fluids,
Bruce N. Miller, Terrence Reese, and Gregory A.Worrel,
Physical Review E, 47, 4083 (1993).
53.
Interaction Between Slow Positrons and Atoms, V. A. Dzuba,
V. V. Flambaum, W. A. King, B. N. Miller, and O. P. Sushkov, Physica Scripta, T46, 248 (1993). See also Proceedings of
the 85th Nobel Symposium.
54.
Dynamics in a Discontinuous Field: The Smooth Fermi Piston, G. A. Worrell, A. Matulich, and B. N. Miller, Chaos, 3, 397 (1993).
55. Path
Integral Studies of Positrons and Positronium in
Fluids, B. N. Miller, J. Chen, T. L. Reese and G. Worrell, Journal de Physique
IV, Colloque C4, 3, 31 (1993).
56. Polaron Theory of Positron Annihilation in Xenon, Jiqiang Chen and Bruce N. Miller,
Physical Review E, 48,
3667 (1993).
57. Gravity in One Dimension: The Critical
Population, Charles J. Reidl and Bruce N. Miller,
Physical
Review E 48, 4250 (1993).
58. Polaron Theory of
an Excess Electron in Xenon, Jiqiang Chen and Bruce
N. Miller,
Journal
of Chemical Physics 100, 3013 (1994).
59. Self Trapping of
Light Particles in Fluids: The Path Integral Approach, Bruce N. Miller, Jiqiang Chen, Terrence Reese, and Gregory Worrell, Linking
the Gaseous and Condensed Phases of Matter : The
Behavior of Slow Electrons eds. L.
G. Christophorou, E. Illenberger,
and W. Schmidt (Plenum, New York, 1994)
p.141.
60. Polaron Theory of Positronium Localization and Aniihilation
in Xenon, Jiqiang Chen and Bruce N. Miller, Physical
Review B 49, 15
615 (1994).
61. Gravity
in One Dimension: Population Dependence of Early Relaxation, Charles J. Reidl and Bruce N. Miller, Physical Review E 51, 884
(1995).
62.
Stochastic Dynamics of Gravity in One Dimension, Kenneth R. Yawn, Bruce N. Miller, and Willard Maier, Physical
Review E 52, 3390 (1995).
63. Polaron Theory of
Positron and Positronium Annihilation in Fluids,
B. N. Miller and J. Q. Chen, in
Positron Annihilation ICPA-10; Proceedings of the 10th International Conference on Positron
Annihilation, eds. Yuan-Jin He, Bi-Song Cao and Y. C.
Jean (published in Materials Science Forum 175-178, pp1-1032 (1995)), (Trans
Tech, Aedermannsdorff, Switzerland, 1995) pp.
731-734.
64.
Polymers and Chemistry, D. M. Schrader and B. N. Miller, in Positron Annihilation ICPA-10; Proceedings
of the 10th International Conference on Positron
Annihilation, eds. Yuan-Jin He, Bi-Song Cao and Y. C.
Jean (published in Materials Science Forum 175-178, pp1-1032 (1995)),
(Trans Tech, Aedermannsdorff, Switzerland, 1995) pp.
1021-1028.
65. Virial Expansion of a Quantum Particle in a Classical Gas:
Application to the Orthopositronium Decay Rate,
Gregory A. Worrell, Bruce N. Miller, and Terrence L. Reese, Physical Review A 53,
2101 (1996).
66. Source
of Relaxation in a One Dimensional Gravitating System, Bruce N. Miller,
Physical Review E 53, R4279 (1996).
67. Virial Expansion of the Positron and Positronium
Decay Rate in a Dilute Gas: The Linear Contribution, Bruce N. Miller, Terrence
L. Reese, and Gregory A. Worrell, Canadian Journal of Physics 78, 548
(1996).
68. Path
Integral Methods of Positron Annihilation, B. N. Miller, T. Reese, and H. Guo, Proceedings of the 5th International Workshop on Positron and Positronium Chemistry, Journal of Radioanalytical
and Nuclear Chemistry 210 343 (1996).
69.
Dynamics of a Pair of Spherical Gravitating Shells, Bruce N. Miller and V.
Paige Youngkins, CHAOS 7, 187 (1997).
70. Ergodic Properties
and Equilibrium of One-Dimensional Self-Gravitating Systems, Kenneth R. Yawn
and Bruce N. Miller, Physical Review E 56, 2429 (1997).
71.
Equipartition and Mass Segregation in a One-Dimensional Self-Gravitating
System, Kenneth R. Yawn and Bruce N. Miller,
Physical Review Letters 79, 3561 (1997).
72. Rapid
Relaxation in a One Dimensional Gravitating System, V. Paige Youngkins and Bruce N. Miller, Physical Review E 56,
R4963 (1997).
73. "Recent
progress in the study of one-dimensional gravitating systems" in Nonlinear
Dynamics and Chaos in Astrophysics, J.R. Buchler,
S.T. Gottesman & H.E. Kandrup,
Eds., Ann. N.Y. Acad. Sci. vol. 867, pp. 268—282 (1998).
74. Phase
Transition in a Model Gravitating System, Bruce N. Miller and Paige Youngkins, Phys. Rev. Lett. 81, 4794 (1998).
75. Recent
Progress in Studies of One-Dimensional Gravitating Systems, Bruce N. Miller, in
Dynamical Systems, Plasmas, and Gravitation eds. P. G. Leach, S. E Bouquet,
J.-L. Rouet, and E. Fijalkow, Lecture Notes in
Physics vol. 518 (Springer, 1999).
76.
Dynamics of a Gravitational Billiard with a Hyperbolic Lower Boundary, M. L.
Ferguson, B. N. Miller, and M. A.
Thompson, CHAOS 9, 841
(1999).
77. Monte
Carlo Study of Localization on a One Dimensional Lattice, Henry Guo and Bruce N. Miller, Journal of Statistical Physics 98,
347 (2000).
78.
Gravitational Phase Transitions in a One
Dimensional Spherical System, V. Paige Youmgkins and
Bruce N. Miller, Physical Review E 62, 4583-4596 (2000).
79. Mean
Field Theory of Spherical Gravitating Systems, Peter Klinko
and Bruce N. Miller, Physical Review E 62, 5783-5792 (2000).
80.
Rotation-induced Phase Transition in a Spherical Gravitating System, Peter Klinko, Bruce N. Miller, and Igor Prokhorenkov, Physical
Review E 63, 066131 (2001).
81.
Path-integral Study of Positronium Decay in Xenon,
Terrence L. Reese and Bruce N. Miller, Physical Review E 64, 061201
(2001).
82.
Non-standard Fractal Spectrum of a 1D Gravitating Model, Bruce N. Miller and
Jean-Louis Rouet, Physica A, 305, 266 (2002).
83. Angular Momentum Induced Phase Transition in
Spherical Gravitational Systems, Peter Klinko and Bruce N. Miller, Physica
A, 305, 258 (2002).
84. Path Integral Simulation of Positronium, Bruce N. Miller and Terrence L. Reese, in Beam
Interactions with Matherials and Atoms, eds. H.
H. Andersen and L. E. Rehn (Elsevier, Amsterdam,
2002) p176. (Nuclear Instruments and Methods in Physics
Research, Section B 192, 176 (2002)).
85.
Influence of Expansion on Structure Formation, Bruce N. Miller and Jean-Louis
Rouet, Physical Review E, 65, 056121 (2002).
86. Angular
Momentum Induced Phase Transition in Spherical Gravitational Systems: N-Body
Simulations, Peter Klinko and Bruce N. Miller,
Physical Review E, 65, 056127 (2002).
87.
Spherical Gravitating Systems, Bruce N. Miller, Peter Klinko,
and Paige Youngkins, Chaos, Solitons
and Fractals 13 , 603-616 (2002).
88.
Incomplete Relaxation in a Two-mass One-dimensional Self-gravitating System,
Kenneth Yawn and Bruce N. Miller, Physical Review E 68, 056120 (2003).
89.
Dynamical Simulation of Gravothermal Catastrophe,
Peter Klinko and Bruce N. Miller, Physical Review
Letters, 92 (2), 021102 (2004).
90.
Dynamical Study of a First Order Gravitational Phase Transition, Peter Klinko and Bruce N. Miller, Physics Letters A, 333 (3-4),
187 (2004).
91. Exactly
Integrable Analogue of a One Dimensional
Gravitational System, Bruce N. Miller, Kenneth R. Yawn, and Bill Maier, Physics
Letters A 346, 92-98 (2005).
92. Vlasov Theory in Newtonian Gravity: Approach to
Equilibrium, Phase Transitions, Gravothermal
Catastrophe, and the Expanding Universe, Bruce N. Miller, Transport Theory and
Statistical Physics, 34, 367-389 (2005).
93.
Self-Trapping at the Liquid-Vapor Critical Point, B. N. Miller and T. L. Reese,
Modern Physics Letters B 20, 169 (2006).
94.
Development of fractal geometry in a one-dimensional gravitational system,
Bruce N. Miller and Jean-Louis Rouet, Comptes Rendus Physique 7,
383-390 (2006).
95. Fractal
Geometry in an expanding, one-dimensional, Newtonian universe, Bruce N. Miller,
Jean-Louis Rouet, and Emmanuel Le Guirriec, Physical
Review E 76 , 036705 (1-14) (2007).
96.
Self-trapping at the liquid-vapor critical point: A path-integral study, Bruce
N. Miller and Terrence L. Reese, Physical Review E 78, 061123 (1-10)
(2008).
97. Ewald
Sums for One Dimension, Bruce N. Miller and Jean-Louis Rouet, Physical Review
E 82, 066203(1-7), (2010).
98. Cosmology
in One Dimension: Fractal Geometry, Power Spectra and Correlation, Bruce N.
Miller and Jean-Louis Rouet, Journal of Statistical Mechanics, P12028 (1-26)
(2010).
99. Fractal
Geometry of One-dimensional Cosmological Models with Scale-free Initial
Conditions, B. N. Miller and J-L Rouet, Proceedings of the Twelfth Marcel
Grossmann Meeting on General Relativity, edited by Thibault
Damour, Robert T. Jantzen
and Remo Ruffini, World Scientific, Singapore, 2011.
100.
Dynamic modeling and simulation of a real world billiard, Alexandre E. Hartl, Bruce N. Miller and Andre P. Mazzoleni,
Physics Letters A 375, 3682-3686 (2011).
101.
Solution of the quantum initial value problem with transparent boundary
conditions, A. Puga and B. N. Miller, American
Journal of Physics, 81, 50-56 (2013).
102.
Dynamics of a dissipative, inelastic gravitational billiard, Alexandre E. Hartl, Bruce N. Miller and Andre Mazzoleni,
Physical Review E 87, 032901 (1-11), (2013).
103.
Evolution d’univers unidimensionnels,
analyses fractales sur les
regions de forte et faible densites,
Jean-Louis Rouet and Bruce N. Miller, in Modelisation:
Atomes, Molecules, Plasmas et Systemes
Dynamiques, eds. Charles de Izarra
and Marylene Vallee (Press Universitaires, Orleans, 2013) pp. 21-35 .
104. Path
Integral Monte Carlo on a Lattice: Extended States, Mark O’Callaghan and Bruce
N. Miller,
Physical Review E 89, 042124 (1-19)(2014) .
105.
Fractal Dimension Computation from Equal Mass Partitions, Yui Shiozawa,
Bruce N. Miller and
Jean-Louis Rouet, CHAOS 24, 033106 (1-9) (2014).
106. Chaotic dynamics of one-dimensional systems with periodic boundary conditions,
Pankaj Kumar and Bruce N. Miller, Physical Review E 90, 062918 (1-13) (2014).
107. Regular and chaotic dynamics of a piecewise smooth bouncer, Cameron K. Langer and Bruce N. Miller,
CHAOS 25, 073114 (1-14) (2015).
108. Cosmology in one dimension: Vlasov dynamics, Giovanni Manfredi, Jean-Louis Rouet, Bruce Miller and Yui Shiozawa, Physical Review E, 93, 042211 (1-9) (2016).
109. Dynamics of Coulombic and gravitational systems, Pankaj Kumar and Bruce N. Miller, Physical Review E, 040202(R), (2016).
110. Cosmology in one dimension: A two component model, Yui Shiozawa and Bruce N. Miller, Chaos,
Solitons and Fractals 91, 86-91 (2016).
111. Path integral Monte Carlo on a lattice. II. Bound states, Mark O’Callaghan and Bruce N. Miller,
Physical Review E 94, 012120 (1-14)(2016).