Publications in refereed journals (names underlined are those of undergraduate students)

Publications 2000-2009

53.  Energy Phase Diagrams of Hollow Adsorption on Zigzag Single-Walled Carbon Nanotubes With Repulsive First-Neighbor Interactions, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, to be submitted for publication.

52.  Low Temperature Energy Phase Diagram for Adsorption on fcc (112) Stepped Surfaces with Attractive First Neighbor Interactions, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir accepted for publication July 17, 2009 (link).

51.  A Phenomenological Study of Monomer Adsorption on fcc (335) Surfaces and its Application to CO, O, and N2 Adsorption on Pt(335), A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir, Vol. 25, pp. 944-951 (2009) (link).

50.  Adsorption on Nanotubes Having Equilateral Triangular Geometry with First- and Second-Neighbor Interactions: Attractive First-Neighbors, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir, Vol. 24, pp. 11722-11727 (2008). (Article.pdf)

49.  Adsorption on Equilateral Triangular Lattices with Attractive First-neighbor Interactions, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir, Vol. 24, pp. 124-134 (2008). (Article.pdf).

48.  High Temperature Adsorption Isotherms on Equilateral Triangular Terraces, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Physics Letters A, Vol. 366, pp. 497-502 (2007).

47. Adsorption on Equilateral Triangular Lattices with Repulsive First-neighbor Interactions, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir, Vol. 23, pp. 1928-1936 (2007). (Article.pdf)

46. Monomer Adsorption on Terraces and Nanotubes, A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir, Vol. 23, pp. 558-573 (2007). (Article.pdf)

45. Adsorption on an Equilateral Triangular Terrace Three Atomic Sites in Width: Application to Chemisorption of CO on Pt(112), A. J. Phares, D. W. Grumbine, Jr. and F. J. Wunderlich, Langmuir, Vol. 22, pp. 7646-7651 (2006). (Article.pdf)

44. PIVOTS: Service Learning at the Science, Theater & Magic Boundary, M. A. Papalaskari, K. Hess, D. Kossman, S. Metzger, A. Phares, R. Styer, C. Titone, T. Way, R. Weinstein, F. Wunderlich, ASEE/IEEE Frontier in Education (October 2006) (Article.pdf).

43. On Numerical Computation of Derivatives to Arbitrary Precision, A. J. Phares and F. J. Wunderlich, International Journal of Theoretical Physics, Group Theory, and Nonlinear Optics, Vol. 10, pp.415-424 (2004).

42. Edge Effects on Low Temperature Surface Adsorption and Phase Transitions on Finite-width Square Terraces, A. J. Phares and F. J. Wunderlich, Applied Surface Science, Vol. 219/1-2 pp 174-190 (2003). (Article.pdf)

41. Particle Adsorption on Finite-Width Square Terraces in Stepped Surfaces, A. J. Phares and F. J. Wunderlich and A. M. S. Kumar, Surface Science Vol. 495/1-2 pp. 140-152 (2001). (Article .pdf)

40. Effect of Adsorbate-adsorbate Interactions on Low Temperature Surface Adsorption Patterns, A. J. Phares and F. J. Wunderlich, International Journal of Modern Physics B Vol. 15, Nos. 24 & 25, pp. 3323-3330 (2001).

39. Adsorption Patterns and Adsorbate-adsorbate Interactions up to Third Neighbors on fcc(110) Surfaces, A. J. Phares and F. J. Wunderlich, Surface Science Vol. 479 pp.43-68 (2001). (Article .pdf)

38. Overview of the Combinatorics Function Technique, A. J. Phares and H. F. Arnoldus, International Journal of Theoretical Physics, Group Theory, and Nonlinear Optics Vol. 7, pp. 1-13 (2000). This article has been selected for inclusion and appeared in Horizons in World Physics, Vol. 243, pp 229-244 (2002), Nova Science Publishers, Inc.

37. Adsorption on bcc (110) Surfaces with First, Second and Third Neighbor Interactions, A. J. Phares and  F. J. Wunderlich, Surface Science Vol. 452, pp. 108-116 (2000). (Article .pdf)

Publications 1990-1999

36. Monomer Adsorption on bcc (110) Surfaces with First and Second Neighbor Interactions, A. J. Phares and F. J. Wunderlich, Surface Science Vol. 425, pp. 112-130 (1999). (Article .pdf)

35. Coadsorption of Two Monomer Species on a Square Lattice With First- and Second-neighbor Interactions, A. J. Phares, F. J. Wunderlich, J. Martin, P. Burns and G. Duda, Physical Review E, Vol. 56, pp. 2447-2456 (1997). (Article .pdf)

34. Coadsorption of Monomers and Dimers With First Neighbour Interactions on Square Lattices, A. J. Phares and F. J. Wunderlich, Physics Letters A, Vol. 226, pp.336-343 (1997). (Article .pdf)

33. Monomer Adsorption on a Square Lattice With First and Second Neighbor Interactions, A. J. Phares and F. J. Wunderlich, Physics Review E, Vol. 55, pp. 2403-2408 (1997). (Article .pdf)

32. Crystallization Patterns of Monomers With Nearest-Neighbour Interaction on a Multilayered Semi-infinite Square Lattice, A. J. Phares and F. J. Wunderlich, Physical Review E, Vol. 52, pp. 2236-2246 (1995). (Article .pdf)

31. Structural Ordering of Interacting Dimers on a Square Lattice, A. J. Phares, F. J. Wunderlich, J. D. Curley and D. W. Grumbine, Jr., Journal of Physics A, Vol. 26, pp. 6847-6877 (1993). (Article .pdf)

30. The Entropy of Interacting Dimers on a Square Lattice, A. J. Phares, F. J. Wunderlich, D. W. Grumbine, Jr. and J. D. Curley, Physics Letters A, Vol 173, pp. 365-368 (1993). (Article.pdf)

29. Computer Controlled Collision and the Force versus Time Curve, A. V. Krupitsch, F. J. Wunderlich and A. J. Phares, Physics Education Vol. 28, pp. 26-32 (1993). (Article .pdf)

Publications 1980-1989

28. Occupational Degeneracy of Dimers With Nearest Neighbors on Square Lattices, A. J. Phares and F. J. Wunderlich, Physics Letters A, Vol. 133, pp. 63-69 (31 Oct. 1988). (Article.pdf)

27. Thermodynamics and Molecular Freedom of Dimers on Plane Honeycomb and Kagome Lattices, A. J. Phares and F. J. Wunderlich, Il Nuovo Cimento, Vol. 101B, pp. 653-686 (1988).

26. Dimers on Two- and Three-dimensional Lattices: Shift Operator Matrix Solution, A. J. Phares and F. J. Wunderlich, Physics Letters A, Vol. 130, pp. 385-389 (1988). (Article.pdf)

25. Dimers on Square Lattices: Orientation Dependent Activities, A. J. Phares and F. J. Wunderlich, Physics Letters A, Vol. 127, pp. 275-280 (1988). (Article.pdf)

24. Mixture of Polymers on Square Lattices, A. J. Phares and F. J. Wunderlich, Physics Letters A, Vol. 121, pp. 347-351 (1987). (Article.pdf)

23. Thermodynamics and Molecular Freedom of Dimers on Plane Triangular Lattices, A. J. Phares and F. J. Wunderlich, Journal of Mathematical Physics, Vol. 27, pp. 1099-1109 (April 1986). (Article .pdf)

22. Thermodynamics of Dimers on a Rectangular LxMxN Lattice, A. J. Phares and F. J. Wunderlich, Journal of Mathematical Physics, Vol. 26, pp.2491-2499 (October 1985). (Article .pdf)

21. An Approximate Solution of the Monomer-Dimer Problem on a Square Lattice. II, A. J. Phares, D. E. Shaw and F. J. Wunderlich, Journal of Mathematical Physics, Vol. 26, pp. 1762-1768 (July 1985). (Article .pdf)

20. Decoupling of a System of Partial Difference Equations with Constant Coefficients and Application, A. J. Phares, Journal of Mathematical Physics, Vol. 25, pp. 2169-2173 (July 1984). (Article.pdf)

19. The Occupation Statistics for Indistinguishable Dumbbells on a Rectangular Lattice Space. I, A. J. Phares, Journal of Mathematical Physics, Vol. 25, pp. 1756-1770 (June 1984). (Article.pdf)

18. Decoupling of a System of Linearly Coupled Multivariable Partial Difference Equations with Constant Coefficients, A. J. Phares, Advances in Computer Methods for Partial Differential Equations, Vol. V, p. 531 (1984), edited by R. Vitchnevetsky and R. S. Stepleman.

17. General Solution of a Fibonacci-like Recursion Relation and Applications, A. J. Phares, The Fibonacci Quarterly, Vol. 22, pp. 29-41 (1984).

16. A Multidimensional Extension of the Combinatorics Function Technique II: Linear and Inhomogeneous Partial Difference Equation, A. J. Phares, Journal of Mathematical Physics, Vol. 22, pp. 1030-1033 (1981). (Article.pdf)

15. A Multidimensional Extension of the Combinatorics Function Technique I: Linear and Homogeneous Partial Difference Equation, A. J. Phares and R. J. Meier, Jr., Journal of Mathematics Physics, Vol. 22, pp. 1021-1029 (1981). (Article.pdf)

14. Solution of a System of Linearly Coupled Partial Difference Equations, A. J. Phares, Advances in Computer Methods for Partial Differential Equations, Vol. IV, p. 53 (1981), edited by R. Vitchnevetsky and R. S. Stepleman.

13. The Linear Potential Wavefunctions, P. A. Maurone and A. J. Phares, Journal of Mathematical Physics, Vol. 21, pp. 830-833 (1980). (Article.pdf)

12. Fibonacci Numbers Revisited: A Combinatorics Function Point of View, A. J. Phares and K. H. Simmons, American Journal of Physics, Vol. 48, pp. 159-162 (1980). (Article.pdf)

Publications 1973-1979

11. On the Asymptotic Behavior of the Derivatives of Airy Functions P. A. Maurone and A. J. Phares, Journal of Mathematical Physics, Vol. 20, p. 2191 (1979). (Article.pdf)

10. Formal Solutions of Linear Partial Difference Equations, A. J. Phares, Advances in Computer Methods for Partial Differential Equations, Vol. III, p. 47 (1979), edited by R. Vitchnevetsky and R. S. Stepleman.

9. The Energy Eigenvalue Equation for the Linear Potential, A. J. Phares, Journal of Mathematical Physics, Vol. 19, pp. 2239-2244 (1978). (Article.pdf)

8. Families of Regge Trajectories in Hadronic Physics A. F. Antippa, A. E. Everett and A. J. Phares, Il Nuovo Cimento, Vol. 43A, pp. 347-364 (1978).

7. The Linear Potential: A Solution in Terms of Combinatorics Functions, A. F. Antippa and A. J. Phares, Journal of Mathematical Physics, Vol. 19, pp. 308-319 (1978). (Article.pdf)

6. A General Theory of Linear Finite-Difference Equations with a Few Applications, A. J. Phares, Journal of Mathematical Physics, Vol. 18, pp. 1838-1848 (1977). (Article.pdf)

5. General Formalism Solving Linear Recursion Relations, A. F. Antippa and A. J. Phares, Journal of Mathematical Physics, Vol. 18, pp. 173-181 (1977). (Article.pdf)

4. Electrodynamics and Source Models, A. J. Phares, Physical Review D, Vol. 12, pp. 2356-2362 (1975). (Article.pdf)

3. Photon Propagation Function and Charged Vector Mesons, A. J. Phares, Nuclear Physics B, Vol. 94, pp. 501-512 (1975). (Article.pdf)

2. The Spin-1 Electromagnetic Vertex Function, A. J. Phares, Acta Physica Polonica, Vol. B6, pp. 365-378 (1975).

1. Example of Schwinger's Modified Propagation Function, A. J. Phares, Physics Review D, Vol. 9, pp. 920-927 (1974). (Article.pdf)