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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 2, 2000, Pages 2015-2023

Coefficient of restitution for one-dimensional harmonic solids

(2) Basile, Anthony G a Dumont, Randall S b

a D'YOUVILLE COLLEGE (United States)

b MCMASTER UNIVERSITY (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HARMONIC ANALYSIS; PERTURBATION TECHNIQUES;

COEFFICIENT OF RESTITUTION; HARMONIC CHAIN; HARMONIC SOLID; NORMAL MODES; NUMERICAL ALGORITHMS; PERTURBATION THEORY; THERMODYNAMIC LIMITS; TIME EVOLUTIONS;

CHAINS;

EID: 0000289089 PISSN: 1063651X EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevE.61.2015 Document Type: Article

Times cited : (15)

References (10)

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- Cleveland, C.L.¹ Landman, U.²

2
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- T. Raz and R. D. Levine, J. Chem. Phys. 105, 8097 (1996).
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- Raz, T.¹ Levine, R.D.²

3
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- (1998) J. Phys. Chem. B , vol.102 , pp. 7428
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- Smith, C.E.¹ Liu, P.²

6
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- For example, see C. Thornton, J. Appl. Mech. 64, 384 (1997)
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- Thornton, C.¹

7
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- AICHE, New York
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- (1994) Proceedings of the 1st International Particle Technology Forum , vol.II , pp. 14
- Thornton, C.¹ Ning, Z.²

8
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- The model of the homogenous chain treated here does not make the simplifying assumptions characteristic of standard textbook presentations. They treat the homogeneous chain either (1) with particles (Formula presented) and n fixed to their equilibrium position, see T. C. Bradbury, Mathematical Methods (Wiley, New York, 1984), pp. 337-341 or, (2) with Born-von Karman boundary conditions, see C. Kittel, Introduction to Solid State Physics, 7th ed. (Wiley, New York, 1996), pp. 99-100. While these simplify the math, they also remove modes crucial to our analysis
- The model of the homogenous chain treated here does not make the simplifying assumptions characteristic of standard textbook presentations. They treat the homogeneous chain either (1) with particles (Formula presented) and n fixed to their equilibrium position, see T. C. Bradbury, Mathematical Methods (Wiley, New York, 1984), pp. 337-341 or(2) with Born-von Karman boundary conditions, see C. Kittel, Introduction to Solid State Physics, 7th ed. (Wiley, New York, 1996), pp. 99-100. While these simplify the math, they also remove modes crucial to our analysis.

9
- 85036261565
- The problem of finding the time intervals, (Formula presented) is the problem of finding “gap times” in the harmonic approximation of the theory of unimolecular reactions. See N. B. Slater, Theory of Unimolecular Reactions (Cornell University Press, Ithaca, NY, 1959), Sec. 9.6, p. 206
- The problem of finding the time intervals, (Formula presented) is the problem of finding “gap times” in the harmonic approximation of the theory of unimolecular reactions. See N. B. Slater, Theory of Unimolecular Reactions (Cornell University Press, Ithaca, NY, 1959), Sec. 9.6, p. 206.

10
- 85036286655
- H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, New York, 1988), Part I, pp. 107-112
- H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods (Addison-Wesley, New York, 1988), Part I, pp. 107-112.

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