Refereed Journal Publications:
- A test of scaling near the bond percolation threshold
(H. Nakanishi and H.E. Stanley), J. Phys. A 11, L189-197 (1978).
- Site-bond percolation by position-space renormalization group
(H. Nakanishi and P.J. Reynolds), Phys. Lett. 71A, 252-254 (1979).
- Scaling studies of percolation
phenomena in systems of dimensionality two to seven: I. Cluster numbers
(H. Nakanishi and H.E. Stanley), Phys. Rev. B 22, 2466-2488 (1980).
- Scaling studies of percolation
phenomena in systems of dimensionality two to seven: II. Equation of state
(H. Nakanishi and H.E. Stanley), J. Phys. A 14, 693-720 (1981).
- Anisotropic bond percolation by
position-space renormalization group
(H. Nakanishi, P.J. Reynolds, and S. Redner), J. Phys. A
14, 855-871 (1981).
- Lower-dimensional defect transitions in self-avoiding walks and
percolation
(H. Nakanishi), J. Phys. A 14, L355-362 (1981).
- Scaling theory for the criticality of fluids between plates
(M.E. Fisher and H. Nakanishi), J. Chem. Phys. 75, 5857-5863 (1981).
- A scaling picture of a
single chain polymer in the dense phase
(H. Nakanishi and S. Redner), Phys. Lett. 88A, 67-69 (1982).
- Multicriticality of wetting, prewetting,
and surface transitions
(H. Nakanishi and M.E. Fisher), Phys. Rev. Lett.
49, 1565-1568 (1982).
- Critical phenomena in fluid films:
critical-temperature-shifts
(H. Nakanishi and M.E. Fisher), J. Phys. C 16, L95-97 (1983).
- Critical point shifts in films
(H. Nakanishi and M.E. Fisher), J. Chem. Phys. 78, 3279-3293 (1983).
- Surface spinodals and extended wetting
in fluids and polymer solutions
(H. Nakanishi and P. Pincus), J. Chem. Phys. 79, 997-1003 (1983).
- Cell renormalisation of growth
processes: 'True' self-avoiding walks and growing animals
(H. Nakanishi and F. Family), J. Phys. A 17, 427-433 (1984).
- Branched Polymer approach to the
structure of lattice animals and percolation clusters
(S. Alexander, G.S. Grest,
H. Nakanishi, and T.A. Witten, Jr.), J. Phys. A
17, L185-190 (1984).
- Large-cell renormalisation and
systems of dimensionality larger than the upper marginal dimension
(H. Nakanishi), J. Phys. A 17, L329-333 (1984).
- Monte Carlo and series study of corrections to scaling in
two-dimensional percolation
(A. Margolina, H. Nakanishi, D. Stauffer,
and H.E. Stanley), J. Phys. A 17, 1683-1701 (1984).
- Large-cell Monte Carlo renormalization of irreversible
growth processes
(H. Nakanishi and F. Family), 79-82, Proc. of the International Topical
Conference
on the Kinetics of Aggregation and Gelation, eds., D.P. Landau and F. Family,
North-Holland (1984).
- Scaling in biased random walks
(J.W. Halley, H. Nakanishi, and R.
Sundararajan), Phys. Rev. B 31, 293-298 (1985).
- Node-avoiding Lévy flight: a numerical
test of the
expansion
(J.W. Halley and H. Nakanishi), Phys. Rev. Lett.
55, 551-554 (1985).
- Some remarks on diffusion on fractals
(H. Nakanishi), in Surfaces and Disorder
ed. J. W. Halley, Materials Science Forum
4, 129-143 (1985). Also reprinted as Diffusion and Defect Data
42, 41-56 (1985).
- Large-cell Monte Carlo renormalization of
irreversible growth processes
(H. Nakanishi and F. Family), Phys. Rev. A 32, 3606-3617 (1985).
- An optimized phenomenological renormalization
group for geometrical models: applications to diffusion-limited aggregation
(J. L. Montag, F. Family, T. Vicsek, and H. Nakanishi), Phys. Rev. A
32, 2557-2559 (1985).
- Crossover scaling in biased self-avoiding walks
(S. B. Lee and H. Nakanishi), Phys. Rev. B 33, 1953-1962 (1986).
- Superuniversality of acceleration correlations
for random walks on fractals
(H. Nakanishi, Y. Meir, Y. Gefen, A. Aharony, and P. Schofield),
J. Phys. A 20, L153-158 (1987).
- Cell renormalization study of biased self-avoiding walks
(S. B. Lee and H. Nakanishi), J. Phys. A 20, L457-464 (1987).
- Flory approach for polymers in the stiff limit
(H. Nakanishi), J. de Physique (Paris) 48, 979-984 (1987).
- A new spin model for the biased self-avoiding walk
(D. Atkatz, G. ten Brinke, J. W. Halley, and H. Nakanishi), Phys. Rev. B
36, 5500-5506 (1987).
- Critical behavior of AB-percolation in two dimensions
(H. Nakanishi), J. Phys. A 20, 6075-6083 (1987).
- Self-avoiding Lévy flights in one dimension
(S. B. Lee, H. Nakanishi, and B. Derrida), Phys. Rev. A
36, 5059-5067 (1987).
- Monomer concentration profile in the depletion region
(H. Nakanishi and S. B. Lee), J. de Physique 49, 1295-1300 (1988).
- Self-avoiding walks on randomly diluted lattice
(S. B. Lee and H. Nakanishi), Phys. Rev. Lett. 61, 2022-2025 (1988).
- Monte Carlo study of self-avoiding walks on a critical
percolation cluster
(S. B. Lee, H. Nakanishi, and Y. Kim), Phys. Rev. B
39, 9561-9572 (1989).
- Self-avoiding Lévy flights at upper marginal dimensions
(J. Moon and H. Nakanishi), Phys. Rev. A 40, 1063-1072 (1989).
- Prewetting transition in supercritical Argon
(G. Ascarelli and H. Nakanishi), J. de Physique (Paris)
51, 341-354 (1990).
- Auto-correlation functions for discrete random walks on
disordered lattice
(D. Jacobs and H. Nakanishi), Phys. Rev. A 41, 706-719 (1990).
- Scaling at the rod-to-flexible
chain crossover in the stiff limit
(J. W. Halley, D. Atkatz, and H. Nakanishi), J. Phys. A
23, 3297-3306 (1990).
- Anomalous diffusion: A dynamic perspective
(R. Muralidhar, D. Ramkrishna, H. Nakanishi, and D. Jacobs), Physica A
167, 539-559 (1990).
- Self-avoiding Lévy walk: A model for very stiff polymers
(J. Moon and H. Nakanishi), Phys. Rev. A
42, 3221-3224 (1990).
- Eigenvalue spectrum of hopping transport on critical
percolation clusters
(N. H. Fuchs and H. Nakanishi), Phys. Rev. A
43, 1721-1726 (1991).
- Exact enumeration study of self-avoiding walks
on two-dimensional percolation clusters
(H. Nakanishi and S. B. Lee), J. Phys. A
24, 1355-1361 (1991).
- Diffusion on two-dimensional percolation clusters:
Influence of cluster anisotropy
(R. Muralidhar, D. Jacobs, D. Ramkrishna and H. Nakanishi), Phys. Rev. A
43, 6503-6517 (1991).
- Onset of excluded-volume effect for the statistics
of stiff chains
(Jangnyeol Moon and Hisao Nakanishi), Phys. Rev. A 44, 6427-6442 (1991).
- Ideal chain on two-dimensional critical percolation cluster
(A. Giacometti, Hisao Nakanishi, A. Maritan and N. H. Fuchs),
J. Phys. A 25, L461-468 (1992).
- A precise determination of the backbone fractal dimension
on two-dimensional percolation clusters
(M. D. Rintoul and H. Nakanishi), J. Phys. A 25, L945-948 (1992).
- Self-avoiding walk on critical percolation cluster
(H. Nakanishi and J. Moon), Physica A 191, 309-312 (1992).
- Random Walks on Random Systems: Eigenspectrum of
Large Markov Matrices
(H. Nakanishi, S. Mukherjee and N. H. Fuchs), Phys. Rev. E. 47,
R1463 (1993).
- Fractal Properties of the Distribution of Earthquake
Hypocenters
(H. Nakanishi, M. Sahimi, M. C. Robertson, C. Sammis, and M. D. Rintoul),
J. de Physique I 3, 733 (1993).
- Effect of loops on the vibrational spectrum of percolation
network
(H. Nakanishi), Physica A 196 33-41 (1993).
- Diffusion and spectral dimension on Eden tree
(H. Nakanishi and H. J. Herrmann), J. Phys. A 26, 4513-4519 (1993).
- A persistent random walk model for the frequency-dependent
electrical conductivity
(D. J. Jacobs and H. Nakanishi), Physica A 197, 204-222 (1993).
- A new finite-size scaling approach to random walks
(A. Giacometti and H. Nakanishi), J. Phys. A 27, 2277-2288 (1994).
- Statistics of self-avoiding walks on randomly
diluted lattices
(M. D. Rintoul, J. Moon, and H. Nakanishi), Phys. Rev. E 49, 2790-2803
(1994).
- Statistical mechanics of random paths on disordered lattices
(A. Giacometti, A. Maritan, and H. Nakanishi), J. Stat. Phys.
75, 669 (1994).
- Markov chain analysis of random walks in didordered media
(S. Mukherjee, H. Nakanishi, and N. H. Fuchs), Phys. Rev. E 49,
5032-5045 (1994).
- Diffusion on a DLA cluster in two and three dimensions
(D. J. Jacobs, S. Mukherjee, and H. Nakanishi), J. Phys. A 27,
4341-4350 (1994).
- A precise characterization of three dimensional percolating
backbones
(M. D. Rintoul and H. Nakanishi), J. Phys. A 27, 5445-5454 (1994).
- Eigenspectrum and localization for diffusion with traps
(A. Giacometti and H. Nakanishi), Phys. Rev. E 50, 1093-1099 (1994),
and Phys. Rev. E 51, 6328E (1995).
- On the Effectiveness of Superconcurrent Computations on
Heterogeneous Networks
(H. Nakanishi, V. Rego, and V. Sunderam), J. Par. Dist. Computing 24,
177-190 (1995).
- Diffusion on loopless critical percolation cluter
(S. Mukherjee, D. J. Jacobs and H. Nakanishi), J. Phys. A 28, 291-296
(1995).
- Diffusion with critically correlated traps and the slow
relaxation of the longest-wavelength mode
(S. Mukherjee and H. Nakanishi), Phys. Rev. E 53, 1470-1474 (1996).
- Scaling of the slowest mode for Brownian dynamics on disordered
substrate
(H. Nakanishi and S. Mukherjee), in Coherent Approaches to Fluctuations,
eds. M. Suzuki and N. Kawashima, World Scientific (1996).
- Effect of boundary tethering on vibrational modes of fractals
(S. Mukherjee and H. Nakanishi), Fractals 4, 273-278 (1996);
reprinted in Future of Fractals, ed. S. Miyazima, World Scientific
(1997).
- CHIP: Computerized Homework in Physics
(V. K. Saxena, H. Nakanishi, D. Elmore, E. Shibata, and D. Bortoletto),
in Using Technology to Enhance Learning: How Does It Change What Faculty Do?,
ed. Indiana Partnership for Statewide Education, published by Indiana Higher
Education Telecommunication System (1998).
- Markov matrix analysis of random walks in disordered continuous media
(S. B. Lee and H. Nakanishi), Physica A 269, 378-394 (1999).
- Geometry of fully-coordinated, two-dimensional percolatoin
(E. Cuansing, J. H. Kim, and H. Nakanishi), Phys. Rev. E 60, 3670 (1999).
- Finite size analysis of eigenvalue spectrum for random walks on a critical percolation cluster in four dimensions
(S. B. Lee and H. Nakanishi), J. Phys. A 33, 2943-2950 (2000).
- Scaling for vibrational modes of fractals tethered at the boundaries
(S. Mukherjee and H. Nakanishi), Physica A 294, 123-138 (2001).
- Iterated Fully Coordinated Percolationon a Square Lattic
(E. Cuansing and H. Nakanishi), J. Stat. Physics 105, 659-675 (2001).
- Structure and Diffusion Time Scales of Disordered Clusters
(E. Cuansing and H. Nakanishi), Physica A 322, 1 (2003).
- Quantum interference effects in particle transport through square lattices
(E. Cuansing and H. Nakanishi), Phys. Rev. E 70, 066142 (2004).
- Modeling Gaussian-to-self-avoiding-walk crossover for stiff chain polymers
(Md. F. Islam and H. Nakanishi), Phys. Rev. E 74, 051107 (2006).
- Quantum transport in randomly diluted quantum percolation clusters in two dimensions
(E. Cuansing and H. Nakanishi), Physica A 387, 806 (2008).
- Localization-delocalization transition in a two-dimensional quantum percolation model
(Md. F. Islam and H. Nakanishi), Phys. Rev. E 77, 061109 (2008).
- The effect of local phases of wave function on transmission of a quantum particle through two dimensional clusters
(Md. F. Islam and H. Nakanishi), Eur. Phys. J. B 65, 555-564 (2008).
- Dynamical method for studying localization-delocalization
transition in two dimensional percolating systems
(Md. F. Islam and H. Nakanishi), Eur. Phys. J. B 68, 123-131 (2009).
Book Chapters:
- Critical phenomena: past, present, and 'future'
(H.E. Stanley, A. Coniglio, W. Klein, H. Nakanishi, S. Redner, P.J. Reynolds,
and G. Shlifer), in Dynamics of Synergetic Systems, ed. H. Haken,
Springer-Verlag (1980). Also translation in Russian.
- Anomalous Diffusion in Disordered Clusters in
On Clusters and Clustering: From Atoms to Fractals, ed. P. J.
Reynolds, Elsevier Science Publishers B.V. (1993).
- Random and self-avoiding walks in disordered media
(H. Nakanishi), in Annual Reviews of Computational Physics Vol.I,
Ed. D. Stauffer (World Scientific, Singapore, 1994).
- Quantum Percolation in Two Dimensions
(H. Nakanishi and Md. F. Islam), Quantum and Semi-classical Percolation
and Breakdown, Eds. Sen, Bardhan, and Chakrabarti, Springer Lecture Notes
in Physics, to be published (2009).
Book:
- Computational Physics, 2nd Edition (ISBN 0-13-146990-8)
(Nicholas J. Giordano and Hisao Nakanishi), Pearson Prentice Hall (2005).