Publications

Results of Consortium-supported research activities of the visitors:

•Hurst exponents for interacting random walkers obeying nonlinear Fokker-Planck equations, Physica A 388, 687-3694 (2009). PDF

•Phase transitions induced by complex nonlinear noise in a system of self-propelled agents, Phys. Rev. E 79, 051115 (2009). PDF

•Universal aspects of photocurrent-voltage characteristics in dye-sensitized nanocrystalline TiO₂ photoelectrochemical cells, Phys. Rev. E 79, 035308 (2009). PDF

•Theory of possible effects of the Allee phenomenon on the population of an epidemic reservoir , Phys. Rev. E 79, 041902 (2009). PDF

•Extensions of effective-medium theory of transport in disordered systems, Phys. Rev. E 79, 011114 (2009). PDF

•Spontaneous symmetry breaking and finite-time singularities in d-dimensional incompressible flows with fractional dissipation, Europhys. Lett. 84, 50006 (2008). PDF

•Dynamic phase transition in the two-dimensional kinetic Ising model in an oscillating field: Universality with respect to the stochastic dynamics, PHYS. REV. E 78, 051108 (2008). PDF

•Multifractality of random walks in the theory of vehicular traffic, Phys. Rev. E 78, 056110 (2008). PDF

•Mass Media Influence Spreading in Social Networks with Community Structure, J. Stat. Mech. (2008) P07007. PDF

•Nonlinearity in bacterial population dynamics: Proposal for experiments for the observation of abrupt transitions in patches, Proc. Nat. Acad. Sc. 105, 18752-18757 (2008). PDF

• Random-walk access time on partially disordered complex networks: An effective medium theory, Phys. Rev. E 77, 061113 (2008). PDF

• Effects of disorder in location and size of fence barriers on molecular motion in cell membranes, J. Phys.: Condens. Matter 20, 245105 (2008). PDF

• Generalization of a Nonlinear Friction Relation for a Dimer Sliding on a Periodic Substrate, Eur. Phys. J. B 62, 459-464 (2008). PDF

• Molecular motion in cell membranes: Analytic study of fence-hindered random walks, Phys. Rev. E 77, 051907 (2008). PDF

• Study of transients in the propagation of nonlinear waves in some reaction diffusion systems, Eur. Phys. J. B 62, 341-348 (2008). PDF

• Effect of Predators of Juvenile Rodents on the Spread of the Hantavirus Epidemic, Bull. Math. Biol. 70, 179-188 (2008). PDF

•Effects of mass media and cultural drift in a model for social influence, Int. J. of Mod. Phys. C 18, 1475-1482 (2007). PDF

• Transport Properties of Random Walks on Scale-Free/Regular-Lattice Hybrid Networks, J. Stat. Phys. 129, 323 (2007). PDF

• Thoughts about Anomalous Diffusion: Time-dependent Coefficients versus Memory Functions, in "Contributions to Mathematical Physics: a Tribute to Gerard G. Emch", ed. T.S. Ali and K.B. Sinha (Hindustani Book Agengy, New Delhi, 2007) p. 147-160. PDF

• Effects of finite probing windows on the interpretation of the multifractal properties of random walks, EPL 77, 40004 (2007). PDF

• Phase Transitions in Systems of Self-Propelled Agents and Related Network Models, Phy. Rev. Lett. 98, 095702 (2007). PDF

• Theory of Hantavirus Infection Spread Incorporating Localized Adult and Itinerant Juvenile Mice, Eur. Phys. J. B 55, 461-470 (2007). PDF

• Nanoscale sliding friction versus commensuration ratio: Molecular dynamics simulations, Phys. Rev. B 73, 035434 (2006). PDF

• Cooper Pairs as Bosons , Int. J. of Mod. Phys. B 20, 2931-2939 (2006). PDF

• The Effect of Biodiversity on the Hantavirus Epizootic , Ecology 87(4), 873-879 (2006). PDF

• Theory of the Spin Echo Signal in NMR Microscopy: Analytic Solutions of a Generalized Torrey-Bloch Equation, J. Phys. Condensed Matter 18, 1-14 (2006). PDF

• Matter Waves of Bose-Fermi Mixtures in One-dimensional Optical Lattices, Phys. Rev. A 74, 1 (2006). PDF

• Analytic Considerations in the Theory of NMR Microscopy, Physica A 371, 139-143 (2006). PDF

• Variational Formula for the Relaxation Time in the Boltzmann Equation, J. Phys. Chem. B 110, 18921-18924 (2006). PDF

• Solitons of Bose-Fermi Mistures in a Strongly Elongated Trap, Phys. Rev. A 73, 013612 (2006). PDF

• Theory of Home Range Estimation from Displacement Measurements of Animal Populations, J. Theoretical Biology 240, 126-35 (2006). PDF

• Diffusion and Home Range Parameters of Rodents: Peromyscus Maniculatus in New Mexico, Ecological Complexity 3, 64-70 (2006). PDF

• Bistability and Hysteresis in the Sliding Friction of a Dimer, Phys. Rev. B 72, 195418 (2005). PDF

• Arbitrary Nonlinearities in Convective Population Dynamics with Small Diffusion, Phys. Rev. E 72, 041902 (2005). PDF

• Patterns and Localized Structures in Population Dynamics, Phys. Rev. E 72, 056217 (2005). PDF

• Traversal Times for Random Walks on Small-World Networks, Phys. Rev. E 72, 056119 (2005). PDF

• Studies in the Theory of the Spread of the Hantavirus, Unified Science and Technology for Reducing Biological Threats and Countering Terrorism Conference, BTR 2005. PDF

• Static Pairwise Annihilation in Complex Networks, Phys. Rev. E 72, 026102-026110 (2005). PDF

• Statistical Mechanical Considerations in the Theory of the Spread of the Hantavirus, Physica A 356, 121-126 (2005). PDF

• Diffusion and Home Range Parameters from Rodent Population Measurements in Panama, Bulletin of Mathematical Biology 67, 1135-1149 (2005). PDF

• A Theoretical Framework for the Analysis of the West Nile Virus Epidemic, Mathematical and Computer Modeling, 42, 313-324 (2005). PDF

• Nonlinear Friction of a Damped Dimer Sliding on a Periodic Substrate, Phys Rev. B 70, 195415 (2004). PDF

• Results from Variants of the Fisher Equation in the Study of Epidemics and Bacteria, Physica A 342, 242-248 (2004). PDF

• Variational Considerations in the Study of Carrier Transport in Organic Crystals, Phys. Rev. B 70, 064304 (2004). PDF

• Periodically Varying Externally Imposed Environmental Effects on Population Dynamics, Phys. Rev. E 70, 031912 (2004). PDF

• Multipeaked Polarons in Soft Potentials, Phys. Rev. E 70, 025601R (2004). PDF

• Analytical Considerations in the Study of Spatial Patterns Arising from Nonlocal Interaction Effects, J. Phys. Chem. B 108, 10505-10508(2004). PDF

• Study of Some Approximation Schemes in the Spin-Boson Problem, Special Issue, Chem. Phys. 296, 135-148 (2004). PDF

• Nonlocal Interaction Effects on Pattern Formation in Population Dynamics, Phys. Rev. Lett. 91, 158104-1 (2003). PDF

• Analytic Solutions of a Nonlinear Convective Equation in Population Dynamics, Physica D 183, 245-259 (2003). PDF

• Applicability of the Fisher Equation to Bacterial Population Dynamics, Phys. Rev. E 67, 051921 (2003). PDF

• Traveling Waves of Infection in the Hantavirus Epidemics, Bull. Math. Biology 65, 519-534 (2003). PDF

• Simulations in the Mathematical Modeling of the Spread of the Hantavirus, Phys. Rev. E 66, 041908 (2002). PDF

• Mathematical Modeling of Refugia in the Spread of the Hantavirus in Proceeding of Unified Science and Technology for Reducing Biological Threats and Countering Terrorism Conference, BTR (2002) p. 64. PDF

• Spatio-Temporal Patterns in Hantavirus Infection, Phys. Rev. E 66, 011912, 1-5 (2002). PDF

• Analytic Solutions for Nonlinear Waves in Coupled Reacting Systems, Physica A 305, 427-436 (2002). PDF

• Effect of Transport Memory and Nonlinear Damping in a Generalized Fisher’s Equation, Phys. Rev. E, 64, 66615 (2001). PDF

Publications available in preprint form:

• Extinction of Populations and the Schroedinger Equation: Analytic Calculations for Abrupt Transitions, arXiv:0811.2232.

•Spatial features of population dynamics arising from mutual interaction of different age groups in rodents, arXiv:0809.4454.

•Theory of possible effects of the Allee phenomenon on refugia of the Hantavirus epidemic, arXiv:0808.2170.

• Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks, arXiv:0708.0034.

• Acquisition and Loss of Antibodies after Hantavirus Infection in Panama.

• Effects of Confinement Potentials on Spatial Patterns of Infection in Hantavirus Refugia.