Full list of publications

Book: Diffusion and Reactions in Fractals and Disordered Systems

My work reported in the media




























Daniel ben-Avraham
Ph.D.,  Bar-Ilan, 1985

Office: Science Center 265
Mail: Department of Physics, Clarkson University
Potsdam, NY 13699-5820
(315) 268-2378
Fax: (315) 268-6610


Portraits of Complex Nets: B-Matrices

Research Interests: I am interested in the properties of large networks occurring in everyday life (social networks of contact, the Internet and the WWW, networks of flight connections, of neurons in the brain, etc.) and I use tools from statistical physics for their analysis. The study of networks has numerous applications, from devising more efficient networks of transportation, to improving the resilience of the Internet to random breakdown or to intentional attack, to finding strategies for arresting the spread of epidemics that propagate by social interaction.

I am also interested in diffusion-limited kinetics, that is, the way reaction processes evolve when the reactants take a much longer time to encounter each other (by diffusion) than to undergo reaction. The situation is dominated by fluctuations at all length scales and gives rise to anomalous kinetics -- quite different from reaction-limited kinetics (where the reaction time is very large), which can be analyzed by classical rate equations.

At a more fundamental level, I study diffusion and random walks in fractals and disordered media. In all regular lattices, regardless of dimensionality (e.g., square, triangular, cubic, etc.) diffusion follows a universal scaling law: the mean square displacement increases linearly with time. However, in fractals and disordered media diffusion is anomalous - the mean square displacement grows slower than linearly with time.

Other interests of mine include nonequilibrium kinetics and kinetics phase transitions, heterogeneous catalysis (catalytic reactions occurring on surfaces, or the interface of different media), and self avoiding walks (a model for linear polymers). I am also interested in various aspects of biological physics, such as the structure and motility of proteins (normal modes analysis), actin filaments in muscle and the scaffolding of cells, and the role of diffusion in signal transduction.

Recent Publications: (Click here for full list of publications)**

** If the PDF download fails, please try the other links provided.
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124. On the Google-Fame of Scientists and other Populations,
James P. Bagrow and Daniel ben-Avraham,
Conference Proceedings: 8th Granada Seminar on Computational and Statistical Physics,
"Modeling Cooperative Behavior in the Social Sciences," Granada, Spain, February 7-11, 2005. phys/0504034, pdf

123. What is Special about Diffusion in Scale-Free Networks?
E. Bollt and D. ben-Avraham, New J. Phys. 7, 26 (2005) open access.
cond-mat/0409465, pdf

122. On the Relation between One-Species Diffusion-Limited Coalescence and Annihilation in One Dimension,
E. Brunet and D. ben-Avraham, J. Phys. A 38, 3247-3252 (2005).
cond-mat/0412745, pdf

121. First Passage Properties of the Erdös-Rényi Random Graph,
V. Sood, S. Redner, and D. ben-Avraham, J. Phys. A 38, 109-123 (2005).
cond-mat/0410309, pdf

120. A Generalization of both the Method of Images and of the Classical Integral Transforms, A. S. Fokas and D. ben-Avraham, in Advances in Scattering and Biomedical Engineering, D. I. Fotiadis and C. V. Massalas, eds., pp. 260-276 (World Scientific, New Jersey 2004). cond-mat/0307020, pdf

119. Tomography and Stability of Complex Networks,
T. Kalisky, R. Cohen, D. ben-Avraham, and S. Havlin,
Lect. Notes Phys
. 650, 3-34 (2004).
Conference Proceedings: ``Networks: Structure, Dynamics, and Function," Santa-Fe, NM, May 12-16, 2003.

118. How Famous is a Scientist? --- Famous to Those Who Know Us,
J. P. Bagrow, H. D. Rozenfeld, E. Bollt, and D. ben-Avraham,
Europhys. Lett
. 67, 511-516 (2004). cond-mat/0404515,
Featured in Nature ``News in brief," (Nature 429, 8-9, 06 May 2004), and on IoP PhysicsWeb (April 2004).

117. Velocity Distribution in a Viscous Granular Gas,
A. Rosas, D. ben-Avraham, and K. Lindenberg,
Phys. Rev. E 71, 032301 (2005). cond-mat/0404405, pdf

116. One-Dimensional Continuous-Time Quantum Walks,
D. ben-Avraham, E. M. Bollt, and C. Tamon,
Quantum Information Processing
3, 295-308 (2004). cond-mat/0409514,

115. Statistics of Cycles: How Loopy is your Network?
H. D. Rozenfeld, J. E. Kirk, E. M. Bollt, and D. ben-Avraham,
J. Phys. A (in press). cond-mat/0403536, pdf

114. Designer Nets from Local Strategies,
H. D. Rozenfeld and D. ben-Avraham,
Phys. Rev. E 70, 056107 (2004). cond-mat/0401196, pdf

113. Immunization and Epidemics Dynamics in Complex Networks,
N. Madar, T. Kalisky, R. Cohen, D. ben-Avraham, and S. Havlin, Eur. Phys. J. B 38, 269-276 (2004).
Conference Proceedings: ``Growing Networks and Graphs in Statistical Physics, Finance, Biology and Social Systems," Rome, September 1--5, 2003.

112. Geographical Embedding of Scale-Free Networks,
D.ben-Avraham, A.F.Rozenfeld, R.Cohen, and S.Havlin,
Physica A
330 , 107-116 (2003). pdf
Conference Proceedings: ``Randomness and Complexity 2003," Eilat, Israel.

111. Self-Similarity in Random Collision Processes,
D. ben-Avraham, E. Ben-Naim, K. Lindenberg, and A. Rosas,
Phys. Rev. E
68, 050103(R) (2003). cond-mat/0308175, pdf

110. Mean-Field Solution of the Parity-Conserving Kinetic Phase Transition in One Dimension, D. Zhong, D. ben-Avraham, and M. A. Munoz,
Eur. Phys. J. B
35, 505-511 (2003). cond-mat/0304453, pdf

109. Invited Paper: Variable Survival Exponents in History-Dependent Random Walks: Hard Movable Reflector, R. Dickman, F. F. Araujo, and D. ben-Avraham,
Braz. J. Phys. 33, 450-457 (2003).

Special issue: Statistical Mechanics of Irreversible Stochastic Models -- II.
cond-mat/0304292, pdf

108. Directed and Non-directed Scale-Free Networks,
R. Cohen, A.F.Rozenfeld, N.Schwartz, D.ben-Avraham, and S.Havlin,
Lect. Notes Phys. 625, 23-45 (2003). pdf
XVIII Sitges Conference Proceedings: ``Statistical Mechanics of Complex Networks," Barcelona.

107. Book Review: Chaotic Transitions in Deterministic and Stochastic Dynamical Systems / E. Simiu, D. ben-Avraham,
J. Stat. Phys.
110, 449-460 (2003). pdf

106. Large-Scale Simulations of Diffusion-Limited n-Species Annihilation,
D. Zhong, R. Dawkins, and D. ben-Avraham,
Phys. Rev. E
64, 040101(R) (2003).cond-mat/0301155 , pdf

105. Ordering of Random Walks: The Leader and the Laggard,
D. ben-Avraham, B. M. Johnson, C. A. Monaco, P. L. Krapivsky, and S. Redner,
J. Phys. A
36, 1789-1799 (2003). cond-mat/0210501. pdf
Featured on IOP Select: http://www.iop.org/Select/.

104. Invited Paper: Structural Properties of Scale-Free Networks,
R. Cohen, S. Havlin, and D. ben-Avraham,
in Handbook of Graphs and Networks: From the Genome to the Internet,
S. Bornholdt, H.G. Schuster, eds., pp 85-110 (Wiley, 2003).

103. Efficient Immunization Strategies for Computer Networks and Populations,
R. Cohen, S. Havlin, and D. ben-Avraham,
Phys. Rev. Lett. 91, 247901 (2003).cond-mat/0207387, pdf
Featured in Physical Review Focus: http://focus.aps.org/story/v12/st23, Nature Science Update: http://www.nature.com/nsu/031215/031215-3.html, and in the the December 15, 2003 issue of Virtual Journal of Biological Physics Research.

Full list of Publications

Book: Diffusion and Reactions in Fractals and Disordered Systems

Daniel ben-Avraham, Clarkson University,New York,U.S.A.
Shlomo Havlin, Bar Ilan University, Ramat Gan, Israel

Cambridge University Press, 2000

Click here to view the table of contents

My work reported in the media


Full list of publications

Research interest

Book: Diffusion and Reactions in Fractals and Disordered Systems

My work reported in the media

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Last modified: 12/2/04