Publications

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Dissertations

H. van Beijeren,
Kinetic theory of hard spheres
Katholieke Universiteit Nijmegen, 1974

H. van Beijeren,
Transport properties of stochastic Lorentz models
Habilitationsschrift, RWTH Achen, 1980


Book chapters and reviews

J.R . Dorfman and H. van Beijeren,
The kinetic theory of gases,

in: Modern Theoretical Chemistry, Vol. 6, Statistical Mechanics B, B.J. Berne ed., (Plenum, New York, 1977)

H. van Beijeren,
Transport properties of stochastic Lorentz models
Rev. Mod. Phys. 54 (1982) 195-234

H. van Beijeren and I.M. Nolden,
The roughening transition,
in: Topics in Current Physics, W. Schommers and P. von Blankenhagen, eds. (Springer, Berlin, 1987)

H. van Beijeren,
Kinetic theory of dense gases and liquids,

in: Fundamental Problems in Statistical Mechanics VII, H. van Beijeren, ed. (North Holland, Amsterdam 1990)

J.R. Dorfman and H. van Beijeren,
Dynamical systems theory and transport coefficients: A survey with applications to Lorentz gases,
Physica A 240 (1997) 12-42

R. van Zon, H. van Beijeren and J.R. Dorfman,
Kinetic Theory of Dynamical Systems,
In: Proceedings of the 1998 NATO-ASI "Dynamics: Models and Kinetic Methods for Non-equilibrium Many-Body Systems", J. Karkheck ed. (Kluwer, Dordrecht 2000)

R. van Zon, H. van Beijeren and J.R. Dorfman,
Kinetic Theory Estimates for the Kolmogorov -Sinai Entropy and the Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases,
in "Hard Ball Systems and the Lorentz Gas", D. Szasz ed., Encyclopaedia of Mathematical Sciences (Springer, Berlin 2000)

Papers in refereed Journals

H. van Beijeren and E.H. Hauge,
Abnormal diffusion in Ehrenfest's wind-tree model,
Phys. Lett. 39A (1972) 397-398

H. van Beijeren and G. Gallavotti,
The phase separation line in the two-dimensional Ising model and its relationship with the non-free random-walk problem,

Lettere al Nuovo Cimento 4 (1972) 699-703

H. van Beijeren and M.H. Ernst,
The non-linear Enskog-Boltzmann equation,
Phys. Lett. 43A (1973) 367

H. van Beijeren and M.H. Ernst,
The modified Enskog equation,
Physica 68 (1973) 437-456

H. van Beijeren and M.H. Ernst,
The modified Enskog equation for mixtures,
Physica 70 (1973) 225-242.

I.M. de Schepper, H. van Beijeren and M.H. Ernst,
The non-existence of the linear diffusion equation beyond Fick's law,
Physica 75 (1974) 1-36

H. van Beijeren, G. Gallavotti and H. Knops,
Conservation laws in the hierarchical model,
Physica 78 (1974) 541-548

H. van Beijeren,
Interface sharpness in the Ising system,

Comm. Math. Phys. 40 (1975) 1-6

J.R. Dorfman, H. van Beijeren and C.F. McClure,
Kinetic theory of hydrodynamic flows,

Archiwum Mechaniki Stosowanej 28 (1976) 333-352

H. van Beijeren,
Exactly solvable model for the roughening transition of a crystal surface,
Phys. Rev. Lett. 38 (1977) 993-996

P. Cutchis, H. van Beijeren, J.R. Dorfman and E.A. Mason,
Enskog and Van der Waals play hockey,
Am. J. of Phys. 45 (1977 )  970 -977

H. van Beijeren and G.S. Sylvester,
Phase transitions for continuous-spin Ising ferromagnets ,

J. Funct. Anal. 28 (1978) 145-167

M.H. Ernst, B. Cichocki, J.R. Dorfman, J. Sharma and H. van Beijeren,
Kinetic theory of non-linear viscous flow in two and three dimensions,

J. Stat. Phys. 18 (1978) 237-270

H. van Beijeren and J.R. Dorfman,
Comment on "Kinetic theory of single-particle motion in a fluid",
Phys. Rev. A 19 (1979) 416-418

H. van Beijeren and B.U. Felderhof,
Thermodynamics and correlation functions of plasmas and electrolyte solutions,

Mol. Phys . 38 (1979) 1179-1199

H. van Beijeren and M.H. Ernst,
Kinetic theory of hard spheres,

J. Stat. Phys. 21 (1979) 125-167

H. van Beijeren, O.E. Lanford, J.L. Lebowitz and H. Spohn,
Equilibrium time correlation functions in the low density limit,

J.  Stat. Phys. 22 (1980) 237-257

H. van Beijeren and J.R. Dorfman,
Kinetic theory of hydrodynamic flow, I. The generalized normal solution method and its application to the drag on a sphere,
J. Stat. Phys. 23 (1980) 335-402

H. van Beijeren and J.R. Dorfman,
Kinetic theory of hydrodynamic flow, II.
The drag on a sphere and on a cylinder,
J. Stat. Phys. 23 (1980) 443-461

H. van Beijeren and J.R. Dorfman,
Kinetic theory of hydrodynamic flow, III.
The torque on a rotating sphere or cylinder,
J. Stat. Phys. 29 (1982) 139-153

M.H. Ernst and H. van Beijeren,
On a conjecture of Alley and Alder for fluids and Lorentz models,

J. Stat. Phys . 26 (1981) 1-24

J.E. Avron, H. van Beijeren, L.S. Schulman and R.K.P. Zia,
Roughening transition, surface tension and equilibrium droplet shapes in a two-dimensional Ising system,
J. Phys. A15 (1982) L81-L86

R.M. Mazo and H. van Beijeren,
Time correlation function for the  one -dimensional Lorentz gas,
Physica  A119 (1983) 197-211

H. van Beijeren and H. Spohn,
Transport properties of the one-dimensional stochastic Lorentz model, I, Velocity autocorrelation function,

J. Stat. Phys. 31 (1983) 231-254

G. Stell, J. Karkheck and H. van Beijeren,
Kinetic mean field theories: Results of energy constraint in maximizing entropy,
J. Chem. Phys. 79 (1983) 3166-3167

H. van Beijeren,
Equilibrium distribution of hard sphere systems and Revised Enskog Theory,
Phys. Rev. Lett . 51 (1983) 1503-1505

H. van Beijeren, K.W. Kehr and R. Kutner,
Diffusion in concentrated lattice gases III, Tracer diffusion on a one-dimensional lattice,
Phys. Rev. B28 (1983) 5711-5723

M.H. Ernst, J. Machta , J.R. Dorfman and H. van Beijeren,
Long time tails in stationary random media, I, Theory,

J. Stat. Phys. 34 (1984) 477-496

J. Machta, M.H. Ernst, J.R. Dorfman and H. van Beijeren,
Long time tails in stationary random media, II, Applications,

J. Stat. Phys. 35 (1984) 413-441

H. van Beijeren,
Mode-coupling theory for purely diffusive systems,

J. Stat. Phys. 35 (1984) 399-412 plus erratum

H. van Beijeren, K.W. Kehr and R. Kutner,
Diffusion in concentrated lattice gases VI , Tracer diffusion on two coupled linear chains,
Phys. Rev. B 30 (1984) 4382-4391

H. van Beijeren and L. S. Schulman,
Phase transitions in lattice gas models far from equilibrium,
Phys. Rev. Lett.  53 (1984) 806-809

H. van Beijeren,
The Intermediate time behavior of the stress tensor and velocity autocorrelation functions for dense hard sphere systems,
Phys. Lett. 105A (1984) 191-195

J. Karkheck , H. van Beijeren, I.M. de Schepper and G. Stell,
Kinetic theory and H-theorem for a dense square-well fluid,
Phys. Rev. A 32 (1985) 2517-2520

R. Kutner and H. van Beijeren,
Influence of an external force on tracer diffusion in a one-dimensional lattice gas,

J. Stat. Phys. 39 (1985) 317-325

H. van Beijeren, R. Kutner and K.W. Kehr,
Tracer diffusion on two coupled lines. The long time tail of the velocity autocorrelation function compared to the mode coupling prediction,
Phys. Rev. B 32 (1985) 466-467

H. van Beijeren, H. Spohn and R. Kutner,
Excess noise for driven diffusive systems,
Phys. Rev. Lett. 54 (1985) 2026-2029

H. van Beijeren and R. Kutner,
Mean square displacement of a tracer particle in a hard-core lattice gas,
Phys. Rev. Lett. 55 (1985) 238-241

I.M. de Schepper, A.F.E.M. Haffmans and H. van Beijeren,
Comment  on "Large Long-Time Tails and Shear Waves in Dense Classical Liquids",
Phys. Rev. Lett. 56 (1986) 538

H. van Beijeren and K.W. Kehr,
Correlation factor, velocity autocorrelation function and frequency-dependent tracer diffusion coefficient,
J. Phys. C: Solid State Phys. 19 (1986) 1319-1328

I.M. de Schepper, A.F.E.M. Haffmans and H. van Beijeren,
Divergence of the shear viscosity in classical fluids near solidification,
Phys. Rev. Lett.  57 (1986) 1715-1717

R. Kutner and H. van Beijeren,
Tracer diffusion in concentrated lattice gases. Rectangular lattices with anisotropic jump rates,
J. Stat.Phys . 49 (1987) 1043-1051

H. van Beijeren, J. Karkheck and J.V. Sengers,
Nonequilibrium temperature and bulk viscosity for a dense fluid of square-well molecules,
Phys. Rev. A 37 (1988) 2247-2250

A.F.E.M. Haffmans, I.M. de Schepper , J.P.J. Michels and H. van Beijeren,
Three particle equilibrium correlations in dense hard sphere fluids,
Phys. Rev. A 37 (1988) 2698-2700

H. van Beijeren and E.G.D. Cohen,
Comment on "Initial Stages of  Pattern Formation in Rayleigh-B'enard Convection",
Phys. Rev. Lett. 60 (1988) 1208

H. van Beijeren and E.G.D. Cohen,
The effects of thermal noise in a Rayleigh-Bénard cell near its first convective instability,
J. Stat. Phys. 53 (1988) 77-94

H. Wilbertz, J. Michels, H. van Beijeren and J.A. Leegwater,
Self diffusion of particles interacting through a square well or square shoulder potential,
J. Stat. Phys. 53 (1988) 1155-1177

G.P. Morris, D.J. Evans, E.G.D. Cohen and H. van Beijeren,
Linear response of phase-space trajectories to shearing,
Phys. Rev. Lett. 62 (1989) 1579-1582

J.A. Leegwater and H. van Beijeren,
The orientational pair correlation functions in a dense hard sphere fluid at long times,
J. Stat. Phys. 57 (1989) 383-391

J.A. Leegwater and H. van Beijeren,
Hydrodynamic correlation functions of hard sphere fluids at short times,

J. Stat. Phys. 57 (1989) 595-629

J.A. Leegwater, H. van Beijeren and J.P.J. Michels,
Linear kinetic theory of the square-well fluid,
J. Phys. CM. 1 (1989) 237-255

H. van Beijeren,
Long range spatial correlations in a simple diffusion model,

J. Stat. Phys. 60 (1990) 845-849

G.V. Paolini, G. Ciccotti and H. van Beijeren,
Nonequilibrium molecular dynamics via a nondiverging subtraction technique,
Phys. Rev. A 42 (1990) 5912-5916

J. van Polen and H. van Beijeren,
Transport in strongly disordered chains,
Physica A 170 (1991) 247-264

H. van Beijeren,
Fluctuations in the motions of mass and of patterns in one-dimensional driven diffusive systems,
J. Stat. Phys. 63 (1991) 47-58

J. Bławzdziewicz, G. Szamel and H. van Beijeren,
Diffusion controlled reactions: Upper bounds on effective rate constants,
J. Chem. Phys. 94 (1991) 7967-7971

J. Bławzdziewicz , B. Cichocki and H. van Beijeren,
H-theorem for  a linear kinetic theory,
J. Stat. Phys . 66 (1992) 607-633

H. van Beijeren and M.H. Ernst,
Diffusion in Lorentz lattice gas automata with backscattering,

J. Stat. Phys. 70 (1993) 793-810

M. Gulacsi, H. van Beijeren and A. Levi,
Phase-diagram of the 5-vertex model,
Phys. Rev. E 47 (1993) 2473-2483

F.J. Alexander, S. A. Janowsky , H. van Beijeren and J.L. Lebowitz,
Shock fluctuations in one-dimensional lattice fluids,
Phys. Rev. E 47 (1993) 403-410

I.M. Nolden and H. van Beijeren
Equilibrium shape of bcc-crystals: I. thermal evolution of the facets
Phys. Rev. B 49 (1994) 17224-17241

E. Luijten , H. van Beijeren and H.W.J. Blöte,
Inverse roughening in the staggered BCSOS model,
Phys. Rev. Lett . 73 (1994) 456-459

G. Mazzeo , E. Carlon and H. van Beijeren,
Phase diagram of the two component BCSOS model,
Phys. Rev. Lett . 74 (1995) 1319-1322

H. van Beijeren and J.R. Dorfman,
Lyapunov exponents and KS entropy for the Lorentz gas at low densities,
Phys. Rev. Lett. 74 (1995) 4412-4415 (or preprint) plus erratum

L. Kuipers, M.S. Hoogeman , J.W.M. Frenken and H. van Beijeren,
Step and kink dynamics on Au (110) and Pb (111) studied with a high-speed STM,
Phys. Rev. B 52 (1995) 11387-11397

E. Carlon and H. van Beijeren,
Networks of steps on Crystal Surfaces,
Phys. Rev. Lett. 76 (1996) 4191-4194

E. Carlon, H. van Beijeren and G. Mazzeo,
Instabilities on Crystal Surfaces: The two-component BCSOS model,
Phys. Rev. E 53 (1996) R5549-R5552

C. Appert, H. van Beijeren, M.H. Ernst and J.R. Dorfman,
The Thermodynamic Formalism in the Thermodynamic Limit: Diffusive Systems with Static Disorder, 
Phys. Rev. E 54 (1996) R1013-R1016 (or preprint)

H. van Beijeren, J.R. Dorfman, E.G.D. Cohen, H.A. Posch and Ch. Dellago,
Lyapunov exponents from Kinetic Theory for a Dilute, Field-driven Lorentz gas,
Phys. Rev. Lett. 76 (1996) 1974-1977

E. Carlon, G. Mazzeo and H. van Beijeren,
A Transfer Matrix Study of the Staggered BCSOS Model,
Phys. Rev. B 55 (1997) 757-770 

C. Appert, H. van Beijeren, M.H. Ernst and J.R . Dorfman,
Thermodynamic formalism and localization in Lorentz gases and hopping models,
J. Stat. Phys. 87 (1997) 1253-1271 

A. Latz, H. van Beijeren and J.R. Dorfman,
Lyapunov spectrum and the conjugate pairing rule for a thermostated random Lorentz gas: kinetic theory,
Phys. Rev. Lett. 78 (1997) 207-210

H. van Beijeren, J.R. Dorfman, H.A. Posch and Ch. Dellago,
Kolmogorov -Sinai entropy for dilute gases in equilibrium,
Phys. Rev. E 56 (1997) 5272-5277

R. van Zon, H. van Beijeren and Ch. Dellago,
Largest Lyapunov exponent for many particle systems at low densities,
Phys. Rev. Lett . 80 (1998) 2035-2038

H. van Beijeren, A. Latz and J.R. Dorfman,
Chaotic properties of  dilute two- and three-dimensional random Lorentz gases I: Equilibrium systems,
Phys. Rev. E 57 (1998) 4077-4094

J.R. Dorfman, A. Latz and H. van Beijeren,
Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy methods for sums of Lyapunov exponents for dilute gases,
Chaos 8 (1998) 444-454

C.P. Dettmann, E.G.D. Cohen and H. van Beijeren,
Microscopic Chaos from Brownian Motion?
Nature 401 (1999) 875-876

H. van Beijeren and J.R. Dorfman,
On thermostats and entropy production,
Physica A 279 (2000) 21-29 

D. Panja, H. van Beijeren and J.R. Dorfman,
Long-time-tail Effects on Lyapunov Exponents of a Random, Two-dimensional Field-driven Lorentz Gas,
J. Stat. Phys. 100 (2000) 279-311

E. Carlon and H. van Beijeren,  
Equilibrium shapes and faceting for ionic crystals of body-centered cubic type,
Phys. Rev. E 62 (2000) 7646-7657

H. van Beijeren, A. Latz and J.R. Dorfman,
Chaotic properties of  dilute two- and three-dimensional random Lorentz gases II: Open systems,
Phys. Rev. E 63 016312 (2001)

R.P. Bikker, G.T. Barkema and H. van Beijeren,
Equilibrium crystal  shapes in the Potts model,
Phys. Rev . E 64 (2001) 016125

Ch. Dellago, H. van Beijeren, D. Panja, J.R . Dorfman,
Field dependent collision frequency of the two-dimensional driven random Lorentz gas,
Phys. Rev. E 64 (2001) 036217

H. van Beijeren, W. Dong and L. Bocquet,
Diffusion-controlled reactions: A revisit of Noyes' theory,
J. Chem. Phys. 114 (2001) 6265-6275

G.T. Barkema, P. Biswas and H. van Beijeren,
Diffusion with random distribution of static traps,
Phys . Rev . Lett . 87 (2001) 170601

P. Gaspard, H. van Beijeren,
When do tracer particles dominate the Lyapunov spectrum?
J. Stat. Phys. 108 (2002) 671-704

H. van Beijeren and J.R. Dorfman,
A Note on the Ruelle Pressure for a Dilute Disordered Sinai Billiard,
J. Stat. Phys. 108 (2002) 767-785

R. van Zon and H. van Beijeren,
Front propagation techniques to calculate the largest Lyapunov exponent of dilute hard disk gases,
J. Stat. Phys. 109 (2002) 641-669

H. van Beijeren,
The uphill turtle race: on short time nucleation probabilities,
J. Stat. Phys. 110 (2003) 1397-1402

K. Brendel, G.T. Barkema and H. van Beijeren,
Magnetization reversal times in the 2D Ising model,
Phys. Rev. E 67 (2003) 026119

I. Claus, P. Gaspard and H. van Beijeren,
Fractals and dynamical chaos in a random 2D Lorentz gas with sinks,
Physica D 187 (2003) 146-164

H. van Beijeren,
Generalized dynamical entropies in weakly chaotic systems,
Physica D 193 (2004) 90-95

A. de Wijn and H. van Beijeren,
Goldstone modes in Lyapunov spectra of hard sphere systems,
Phys. Rev. E 69 (2004) 016207

A. de Wijn and H. van Beijeren, 
The Lyapunov spectrum of the many-dimensional dilute random Lorentz gas,
Phys. Rev. E 69 (2004) 036209

O. Mülken and H. van Beijeren,
Thermodynamic formalism for field driven Lorentz gases,
Phys. Rev. E 69 (2004) 046203

K. Brendel, G.T. Barkema, H. van Beijeren,
Nucleation times in the 2D Ising model,
Phys. Rev. E 71 (2005) 031601

H. van Beijeren and O. Mülken,
Thermodynamic formalism for the Lorentz gas in d dimensions with open boundary conditions,
Phys. Rev. E 71 (2005) 036213  

H. V. Kruis, D. Panja and H. van Beijeren
Systematic Density Expansion of the Lyapunov Exponents for a Two-Dimensional Random Lorentz Gas
J. Stat. Phys. 124 (2006) pp: 823-842

Conference proceedings

M.H. Ernst, B. Cichocki , J.R. Dorfman , J. Sharma and H. van Beijeren,
Kinetic theory of non-linear viscous flow in two and three dimensions,

Statistical Physics, Statphys 13, part 2, 778-781, D. Cabib, C. G. Kuper and I. Riess eds. (Adam Hilger , Bristol 1978)

R. Kutner, I. Sosnowska and H. van Beijeren,
Monte Carlo simulation of the hopping on a two-state one-dimensional chain,

Europhysics conference abstracts, Vol. 7b, 3rd General Conference of the Condensed Matter Division of the EPS, p. 481 (E.P.S. 1983)

G. Mazzeo, E. Carlon and H. van Beijeren,
Surface phase transitions in two-component systems,
Surf. Sc. 352- 354  (1996) 960-963

H. van Beijeren and E. Carlon, 
Networks of Steps and Shape Instabilities Near Missing-Row Reconstructed Facets,

in: "Thin Films and Phase Transitions on Surfaces", Proceedings of the Second East-West Surface Science Workshop, M. Michailov (ed.), Bulgarian Academy of Sciences, {Sofia 1996) 109-121

H. van Beijeren and E. Carlon,
Networks of Steps on Au and Pt Crystals,
in "The Dynamics of Crystal Surfaces and Interfaces", P. M. Duxbury and T. J. Pence eds. (Plenum, New York (1997) 217-230

E. Carlon and H. van Beijeren,
Shape instabilities near fcc (110) missing-row reconstructed facets,

Surf. Rev. and Lett. 4 (1997) 829-832

K. Brendel, G. T. Barkema and H. van Beijeren,
Nucleation Time Distribution in the
Two-dimensional Ising model with Spin-flip Dynamics,
in ''Unsolved Problems of Noise and Fluctuations'', AIP Conf. Proceedings Vol. 800 (Melville, NY, 2005)

Publications in popular journals

H. van Beijeren and E. Carlon,
Netwerken van treden op kristaloppervlakken,
FOM-Jaarboek 1996, 48-49.

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