D.B. Abraham: publications, January 2005.
1.Symmetry of exciton states in One-dimensional Systems (with A.D. McLachlan),
Mol.Phys.12, 301 (1967).
2.Alternant Spin Waves in the Heisenberg Antiferromagnet (with A.D. McLachlan),
Mol.Phys.12, 319 (1967).
3.Excitation Spectrum of Antiferromagnetic Rings, Phys.Rev.171, 572 (1968).
4.Statistical Mechanics of Alternant Spin Waves, J.Chem.Phys.51, 3795 (1969).
5. The Anomalous Specific Heat of Sodium Trihydrogen Selenite (with E.H. Lieb, T.
Oguchi and Y. Yamamoto), Progr.Theor.Phys.44, 1114 (1970).
6.Thermalisation of Single Spins in the X-Y Model (with E. Barouch, G. Gallavotti and
A. Martin-Löf), Phys.Rev.Lett.25, 1449 (1970).
7.The anomalous Specific Heat of Sodium Trihydrogen Selenite: an Associated
Combinatorial Problem (with E.H. Lieb), J.Chem.Phys.54, 1446 (1971).
8.Dynamics of Local Perturbation in the X-Y Model: 1.Approach to Equilibrium (with
E. Barouch, G. Gallavotti and A. Martin-Löf), Studies in Applied Math. (M.I.T.) 50, 121
(1971).
9.Dynamics of Local Perturbation in the X-Y Model: 2.Excitation (with E. Barouch, G,
Gallavotti and A. Martin-Löf), Studies in Applied Math. (M.I.T.) 50, 211 (1971).
10.On the Transfer Matrix of the Two-dimensional Ising Lattice, Studies in Applied
Math. (M.I.T.) 50, 71 (1971).
11.Surface Tension in the Ising Model (with G. Gallavotti and A. Martin-Löf), Nuovo
Cimento 2, 143 (1971).
12.On Correlation Functions in the Ising and X-Y Models, Studies in Applied Math.
(M.I.T.) 51, 179 (1972).
13. Analytic Properties of the Free Energy for a class of Two-dimensional Ferroelectric
Models (with M.L. Glaser and E.H. Lieb), J.Math. Phys.13, 887-900 (1972).
14.Lattice Models for Hydrogen-bonded Solvents (with O.J. Heilmann), J. Stat.Phys.4,
15 (1972).
15.On Correlation Functions for the X-Y Model (with E. Barouch and B.M: McCoy),
Phys.Rev.A4, 2331 (1971).
16. High-temperature Susceptibility Bounds for the Two-dimensional Ising Model,
Phys.Letts.39A, 357 (1972).
17.Surface Tension in the Ising Model (with G. Gallavotti and A. Martin-Löf), Physica
65, 73 (1973).
18.Susceptibility and Fluctuations in the Ising Ferromagnet, Phys.Letts.43A, 163 (1973).
19.High-temperature Correlation Functions for the Ising Model (with J.T. Lewis),
Phys.Letts. 42A, 535 (1973).
20.Transfer Matrix for a Pure Phase in the Planar Ising Model (with A. Martin-Löf),
Commun.Math.Phys. 32, 245 (1973).
21.Models for a High-density Phenomenon in the Lorentz Gas (with D.J. Gates), Physica
72, 73-100 (1974).
22.Interface Profile in the Two-dimensional Ising Ferromagnet (with P.Reed),
Phys.Rev.Lett.33, 377 (1974).
23.Lattice Statistics of Hydrogen-bonded Systems: 2 (with O.J. Heilmann), J.Stat.Phys.
13, 461 (1975).
24.Interface Profile in the Two-dimensional Ising Ferromagnet (with P.Reed),
Commun.Math.Phys.49, 35 (1976).
25.The Onsager-Temperley Sheet (with O.J. Heilmann), Physica 85A, 589 (1976).
26.The Phase Transition in Squaric Acid (with O.J. Heilmann), J.Phys.9C, L393 (1976).
27.Surface Tension of a Diagonal Interface (with P.Reed), J.Phys.10A, L121 (1977).
28.Pair Correlation Functions in Gases with Finite-range Pair Interactions (with H.
Kunz), Phys.Rev.Lett.39, 1011 (1977).
29.N-point Functions for the Rectangular Ising Ferromagnet, Phys.Letts.61A, 271 (1977).
30. Odd Operators and Spinor Algebras in Lattice Statistics: N-point Functions for the
Rectangular Ising Model, Commun.Math.Phys.59, 17 (1978).
31.Pair Functions for the Rectangular Ising Ferromagnet, Commun.Math.Phys.60, 181
(1978).
32.N-point Functions for the Rectangular Ising Feromagnet, Commun.Math.Phys.60, 205
(1978).
33.Susceptibility of the Rectangular Ising Model, J.Stat.Phys.19, 349 (1978).
34.Block-spin Distribution in the Ferromagnetic Half-plane, J.Stat.Phys.19, 553 (1978).
35.Eighth Conference on Stochastic Processes and their Application, Adv. in Applied
Prob.11, 303 (1978).
36.Comment on: Ising Model Surface Tension by Real-space Renormalisation Group, by
de Oliveira, Furman and Griffiths, Phys.Rev.Lett.40, 977 (1978), published in Phys.Rev.
B19, 3833 (1979).
37.Surface of Separation between Phases (with M.E. Issigoni), J.Phys.12A, L125 (1979).
38.Phase Separation in the Spherical Model (with M.A. Robert), J.Phys.12A, L129
(1979).
39.Phase Separation in the Spherical Model (with M.A. Robert), J.Phys.13A, 2229
(1980).
40.Phase Separation at the Surface of a Planar Ising Ferromagnet (with M.E. Issigoni),
J.Phys.13A, L89 (1980).
41.Les Houches Seminar on Complex Analysis, Microlocal Calculus and Relativistic
Quantum Field Theory, ed. D. Iagolnitzer, Springer Lecture Notes in Physics 126, (1980).
42.Exactly-solvable Model exhibiting a Roughening Transition, Phys.Rev.Lett.44, 1165
(1980).
43.Interacting Dimers on the Simple Cubic Lattice as a Model for Liquid Crystals (with
O.J. Heilmann), J.Phys.13A, 1051 (1980).
44.Monte Carlo Simulation of a Model of a Surfactant (with E.R. Smith), J.Phys.14A,
193 (1981).
45.Monte Carlo Simulation of a Planar Ising Roughening Transition (with E.R. Smith),
J.Phys.14A, 2059 (1981).
46.Capillary Waves and Surface Tension in an Exactly-solvable Model, Phys.Rev.Lett.
47, 547 (1981).
47.Binding of a Domain Wall at a line of Defect Bonds in a Planar Ferromagnet, J.Phys.
14A, L369 (1981).
48.Comments in Faraday Society Symposium 16: Structure of the Interfacial Region,
December 1981.
49.Article in Seminar on Spectral Theory, Riemann Problem and Complete Integrability,
ed. D.V. and G.V. Chudnovsky, Springer Lecture Notes in Physics 925, 1982.
50.Exact Solution of an Intrinsic Interface Profile, Phys.Rev.25B, R4922 (1982).
51.Surface Film Thickening: as Exactly-solvable Model(with E.R. Smith),
Phys.Rev.B26, R1480 (1982).
52.Two-point Functions and Bubbles, Phys.Rev.Lett.50, 291 (1983).
53. Description of a Film-thickening Transition (with J.J. DeConinck), J.Phys.A16, L333
(1983).
54.Ordered Surface Phases (with Ch.Ed. Pfister), Phys.Letts.96A, 243 (1983).
55.Surface Reconstruction in Crystals, Phys.Rev.Lett.51, 1279 (1983).
56.Intrinsic Structure and Long-ranged Correlations in Crystals, Phys.Rev.B29, R525
(1984).
57.Invited Lecture at IUPAP 1983, J.Stat.Phys.34, 793 (1984).
58.Invited Lecture at 7th International Conf., IAMP, Boulder Colo., Physica 124A, 1 ,
(1984).
59.Statistical Mechanics of Lattice Tubes (with J.T. Chayes and J. Chayes), Phys.Rev.
D30, R841 (1984).
60.Correlation Functions for Random Surfaces (with J.T. and L. Chayes),
Commun.Math.Phys.96, 439 (1984).
61.Non-purturbative Criteria in the Statistical Mechanics of Lattice Tubes (with J.T. and
L. Chayes), Nucl.Phys.B251 (FS13), 533 (1985).
62.Exact Finite-size Scaling Functions for the Surface Free Energy in the Planar Ising
Ferromagnet (with N.M. Svrakic), Phys.Rev.Lett.56, 1172 (1986).
63.An Exactly-solvable Model with a Wetting Transition (with E.R. Smith), J.Stat.Phys.
43, 621 (1986).
64.Structure and Phase Transitions in Surfaces: a Review, in Phase Transitions and
Critical Phenomena 10, ed. C. Domb and J.L. Lebowitz, Academic Press 1986).
65.Necklace Solid-on-solid Models of Interfaces and Surfaces (with P.M. Duxbury),
J.Phys.A19, 385 (1986).
66.Depinning from an Internal Defect (with N.M. Svrakic), J.Phys.A19, L599 (1986).
67.Reply to Comment by D.A: Huse on Ref 56 (written with B.Davies), Phys.Rev.B33,
7808(c) (1986).
68.The Yang-Lee Edge Singularity in an Exactly-solvable Model (with J.J. DeConinck),
Commun.Math.Phys.108, 13 (1987).
69.Wetting across and Antiferromagnetic Layer (with L.F. Ko and N.M: Svrakic),
Phys.Rev.B37, R9871 (1988).
70.Interface at a General Orientation in the Two-dimensional Ising Model (with P.J.
Upton), Phys.Rev.B37, R3835 (!988).
71.Recent Exact Results on Interfaces and Surface Phase Transitions: 10th Annual Open
University Conference, ed. A.I. Solomon, World Scientific, 1988.
72.Herriot-Watt Symposium on Mathematical Problems in Statistical Mechanics: Lecture
entitled ‘Structure, Phase Transitions and Dynamics of Interfaces and Surfaces’,
J.Phys.A21, 1741 (1988).
73.Finite-size Effects in Ising Model Interface (with V. Privman and N.M. Svrakic),
J.Stat.Phys.53, 1041 (1988).
74.Magnetisation Profile near a Wall in Planar Ising Ferromagnet (with D.A. Huse),
Phys.Rev.B38, R7169 (1988).
75.Exactly-solvable Model with a Three-dimensional Wetting Transition (with C.M.
Newman), Phys.Rev.Lett.61, 1969 (1988).
76.Article in Seminar on: Operator Algebras and Mathematical Physics – University of
Warwick Symposium ed. D.E. Evans and M. Takesaki, pp1-23 in LMS Lecture Notes
136, vol2, CUP (1988).
77.Wetting on the (1,1) Interface (with L.F. Ko and N.M. Svrakic), Phys.Rev.B38,
R12011 (1988).
78.Ising Model with Adjustable Boundary Conditions – Exact Results for Finite-lattice
Mass Gaps (with L.F. Ko and N.M: Svrakic), Phys.Rev.Lett.61, 2393 (1989).
79. Contact Angle for 2-d Ising Ferromagnets (with J.J: DeConinck and F Dunlop),
Phys.Rev.B39, 4708 (1989).
80.Dynamics of an Interface Line (with P.J. Upton), Phys.Rev.B39, 738 (1989).
81.Exact Derivation of the Modified Young Equation for Partial Wetting (with L.F. Ko),
Phys.Rev.Lett.63, 275 (1989).
82.Surfaces and Peierls Contours: 3-d Wetting and 2-d Percolation (with C.M. Newman)
in R.L. Dobrushin, 60th Birthday Festschrift, Commun.Math.Phys.125, 181 (1989).
83.Universality in Two-point Functions for Wetting: Exact Scaling Function for Energydensity Correlations (with L.F. Ko), Phys.Rev.B39, 12341 (1989).
84.Ising Model with Adjustable Boundary Conditions (with L.F. Ko and N.M: Svrakic),
J.Stat.Phys.56, 563 (1989).
85.Ninth International Conference on Mathematical Physics, Swansea 1988, p392-395 of
Conference Proceedings, ed. Davies, Simon and Truman, Adam Hilger (1989).
86.Recent Exact Results on Wetting (with C.M: Newman), Mons Symposium eds. J.J.
DeConinck and F. Dunlop, Springer Lecture Notes in Physics 354 (1990).
87.Langevin Dynamics for Wetting and Spreading (with P.Collet, F.Dunlop and J. J.
DeConinck), Phys.Rev.Lett.65, 195 (1990).
88.Langevin Dynamics of an Interface near a Wall (with P.Collet, F.Dunlop and J. J.
DeConinck), J.Stat.Phys.61, 509 (1990).
89.Correlation Functions for the Baxter Model (with A. Owczarek), Phys.Rev.Lett.64,
2595 (1990).
90.Remarks on Random Surfaces (with C.M: Newman), in ‘Stochastic Orders and
Decision under Risk’, IMS Lecture Notes – monograph series 19, 1 -6, eds. K. Mosler
and M.S. Scarsini (1991).
91.Finite-size Effects for Surface Tension defined on a Cylindrical Lattice (with N.M.
Svrakic), J.Stat.Phys.63, 1077 (1991).
92.Theory of Wetting and Spreading (with P. Collet, J.J. DeConinck, F. Dunlop, J
Heinio, K. Kaski and L.F. Ko), Physica A172, 125 (1991).
93.Computer Simulation Studies of Fluid Spreading (with J. Heinio and K. Kaski),
J.Phys.A24, 309 (1991).
94.The Phase Transition in a Random Surface Model (with C.M: Newman), J.Stat.Phys.
63, 1097 (1991), (65th Birthday Festschrift for Jerry Percus).
95.Modelling the Dynamics of Molecular Films by Monte Carlo Simulations (with J.
Heinio and K.Kaski), Physica Scripta 38, 28 (1991).
96.Finite-size Effects for Surface Tension and Capillary Waves, Physica A177, 421
(1991).
97.Dynamics of a Microscopic Droplet on a Solid Surface: Theory and Simulation (with
J. Heinio and K.Kaski), Phys.Rev.B45, 4409 (1992).
98.The Bubble Model and Correlation Functions in Restricted Geometry (with N.M:
Svrakic and P.J. Upton), Phys.Rev.Lett.68, 423 (1992).
99.Molecular Dynamics of a Microscopic Droplet on a Solid Surface (with J.A.
Nieminen, M. Karttunen and K.Kaski), Phys.Rev.Lett.69, 124 (1992).
100.Susceptibility Singularities at First Order Phase Transition (with P.J. Upton),
Phys.Rev.Lett.69, 225 (1992).
101.Invited Talk at H.L.R.Z. Juelich meeting on ‘Dynamics of First Order Phase
Transitions’, Int.J. Mod.Phys.C3, 299 (1992).
102.Dynamics of Microscopic Droplet on Solid Surface: Theory and Simulation (with
J.Heinio and K. Kaski), Phys.Rev.B45, 4409 (1992).
103.Theory of Wetting and Spreading (with K. Kaski), in Proceedings of the Les
Houches Winter School on ‘Dynamical Phenomena at Interfaces, Surfaces and
Membranes’, eds. D Beysens, N. Boccara and G. Forgacs, Nova Scientific Publishers,
1993.
104.The Droplet Singularity (with P.J. Upton), Phys.Rev.Lett.70, 1567(1993).
105.Divergence of Point Tension at Wetting (with F.T.E. Latremoliere and P.J. Upton),
Phys.Rev.Lett.71, 404 (1993).
106.Non-equilibrium Dynamics of Finite Interfaces (with T.J. Newman and G. Schutz),
Phys.Rev.Lett.72, 3266 (1994).
107.Divergence of Point Tension at Wetting (with F.T.E. Latremoliere and P.J. Upton),
Ber.Bunsenges.Phys.Chem.98, 417-420 (1994).
108.Corner Spontaneous Magnetisation (with F.T.E. Latremoliere), Phys.Rev.E50, R9
(1994).
109.Correlation Functions on Cylinders (with D.J. O’Connor, A.O. Parry and P.J. Upton),
Phys.Rev.Lett.73, 1742 (1994).
110.Mechanism for Fluid Spreading: Ising Model Simulations (with A. Lukarinen and K.
Kaski), Phys.Rev.E51, 2199 (1995).
111.Finite-size Effects for Correlation Lengths in Planar Ising Ferromagnets (with A. O
Parry, and P.J. Upton), Phys.Rev.E51, 5261 (1995).
112. Surface Deconstruction in the Multi-Ziggurat Model of Wetting (with L. Fontes,
C.M. Newman and M.S.T. Pisa), Phys.Rev.E52, R1257 (1995).
113. Corner Spontaneous Magnetisation (with F.T.E. Latremoliere), J.Stat.Phys.81, 539559 (1995).
114. Exact Results for the Corner of an Ising Ferromagnet (with F.T.E. Latremoliere),
Nucl.Phys.B45A, 74 (1996).
115. Correlation Functions in a Corner-shaped Ising Model (with F.T.E. Latremoliere),
Phys.Rev.Lett.76, 4813 (1996).
116. Path-summation Representation in Planar, Uniaxial Ferromagnets (with F.T.E.
Latremoliere), Phys.Rev.Lett.77, 171 (1996).
117. Exact Results for Interface structure and Wetting, p. 3 – 10 in ‘Mathematical
Results in Statistical Mechanics’,eds. S. Miracle-Sole, J. Ruiz and V. Zagrebnov, World
Scientific 1998.
118. Correlation Functions in an Exactly-solvable Terrace-Ledge-Kink Model (with
F.H.L. Essler and F.T.E. Latremoliere), Nucl.Phys.B556, 411-444 (1999).
119. Orientation Dependance of Surface Critical Phenomena in Antiferromagnets: Exact
Results in Two Dimensions (with P.J. Upton), Phys.Rev.Lett.85,2541 (2000).
120. Interface Structures and Hamiltonians: Exact Result, .Int.J. Thermophys.22, 11371146 (2001).
121 Microscopic Model for Thin Film Spreading (with R. Cuerno and E. Moro),
Phys.Rev.Lett.88, 206101, (2002).
122. Drumhead Model of 2D Wetting, Filling and Wedge Covariance (with A.O. Parry
and A.J. Wood), Europhys.Lett.60, 106-112 (2002).
123. Filing Transition: Exact Result for Ising Corners (with A.M. Maciolek),
Phys.Rev.Lett.89, 286101 (2002).
124. Triangular Lattice Solution for Filling in a Wedge (with V. Mustonen and A.J.
Wood), Europhys.Lett.63, 408-414 (2003).
125. Exact Results on Wetting and Filling on a Triangular Lattice (with V. Mustonen
and A.J. Wood), Int.J. Thermophys.25, 1051-1062 (2004).
126. Wetting Effects at a Grain Boundary (with V. Mustonen and A.J. Wood),
Phys.Rev.Lett.93, 076101 (2004).
127. SOS Model for Interface Crossing Grain Boundary (with V. Mustonen and A.J.
Wood), J.Phys.A37, L233-239 (2004).
128. Relaxation Dynamics at Grain Boundary (with V. Mustonen and A.J. Wood),
Phys.Rev.E, in press.
129. Wetting Effects at Grain Boundary – Exact Results at Equilibrium (with V.
Mustonen and A.J. Wood), Phys.Rev E, in press.
130. Finite-size Effects in the GZZ Transition (with V. Mustonen and A.J. Wood),
preprint.
131. Corner Filling – Exact Results for Planar Ising Model (with A.M. Maciolek), in
preparation.