Boghosian, M. “Analytic Solutions for the Radiative Transfer of Heat from the End of a Thin, Laterally Insulated Rod.” Journal of Heat and Mass Transfer. Accepted and in press, July 2026.
Cohen, W., Johnson, M., and Boghosian, B. M. “Dynamical Equation for the Lorenz Curve: Dynamics of Incomplete Moments of Probability Distributions Arising from Fokker–Planck Equations.” Physical Review E 112 (2025): 054108.
Cohen, W., and Boghosian, B. M. “Bounding the Approach to Oligarchy in a Variant of the Yard-Sale Model.” SIAM Journal on Applied Mathematics 84, no. 5 (2024): 2051–2066.
Boghosian, M., Dubois, F., and Lallemand, P. “Numerical Approximations of a Lattice Boltzmann Scheme with a Family of Partial Differential Equations.” Computers and Fluids 284 (November 15, 2024).
Eroglu, B., Boghosian, B. M., Borges, E. P., and Tirnakli, U. “The Statistics of q-Statistics.” Entropy 26, no. 7 (2024).
Boghosian, M., and Börgers, C. “ODE Models of Wealth Concentration and Taxation.” CODEE Journal 17 (2024), special issue, “Engaging the World: Differential Equations Can Influence Public Policies,” Article 10.
Dubois, B., Boghosian, B. M., and Lallemand, P. “General Fourth-Order Chapman–Enskog Expansion of Lattice Boltzmann Schemes.” Computers and Fluids 266 (November 15, 2023).
Börgers, C., Boghosian, B. M., Dragovic, N., and Haensch, A. “A Blue Sky Bifurcation in the Dynamics of Political Candidates.” The Mathematical Monthly 131, no. 3 (2023).
Haensch, A., Dragovic, N., Börgers, C., and Boghosian, B. M. “A Geospatial Bounded Confidence Model Including Mega-Influencers with an Application to COVID-19 Vaccine Hesitancy.” Journal of Artificial Societies and Social Simulation 26, no. 1 (2023): 8.
Cetin, U., Tirnakli, U., and Boghosian, B. M. “A Generalization of the Standard Map and Its Statistical Characterization.” Scientific Reports 12 (2022): 8575.
Boghosian, M., Hudes, M., Khachatryan, G., and Marcq, J. “An Economically Realistic Asset Exchange Model.” In Kinetic Exchange Models of Societies and Economies, theme issue edited by Biswas, P., Sen, P., and Toscani, G. Philosophical Transactions of the Royal Society A 380, no. 2224 (2022). Published online April 11, 2022; print edition May 30, 2022.
Polk, B., and Boghosian, B. M. “The Non-Universality of Wealth Distribution Tails Near Wealth Condensation Criticality.” SIAM Journal on Applied Mathematics 81, no. 4 (2021): 1717–1741.
Otomo, B., Boghosian, B. M., and Succi, S. “A Kinetic Generator for Classical Field Theories with Conservation Laws.” Europhysics Letters (EPL) 132, no. 6 (2020): 60002.
Kaushal, S., Ansumali, S., Boghosian, B. M., and Johnson, M. “The Lattice Fokker–Planck Equation for Models of Wealth Distribution.” Philosophical Transactions of the Royal Society A 378 (July 10, 2020): 2175.
Boghosian, M. “The Inescapable Casino.” Scientific American, November 2019. Translated versions published in Spektrum der Wissenschaft (German), Pour la Science (French), Le Scienze (Italian), and Investigación y Ciencia (Spanish). Selected for inclusion in The Best Writing on Mathematics 2020, edited by M. Pitici, Princeton University Press, 2020.
Boghosian, M., Coveney, P. V., and Wang, H. “A New Pathology in the Simulation of Chaotic Dynamical Systems on Digital Computers.” Advanced Theory and Simulations 2, no. 12 (December 2019): 1900125.
Li, B., Boghosian, B. M., and Li, C. “The Affine Wealth Model: An Agent-Based Model of Asset Exchange That Allows for Negative-Wealth Agents and Its Empirical Validation.” Physica A 516 (2019): 423–442.
Boghosian, M., Dubois, F., Graille, B., Lallemand, P., and Tekitek, M.-M. “Unexpected Convergence of Lattice Boltzmann Schemes.” Computers and Fluids 172 (2018): 301–311.
Boghosian, M., Dubois, F., Graille, B., Lallemand, P., and Tekitek, M.-M. “Curious Convergence Properties of Lattice Boltzmann Schemes for Diffusion with Acoustic Scaling.” Communications in Computational Physics 23, no. 4 (2018): 1263–1278.
Otomo, B., Boghosian, B. M., and Dubois, F. “Efficient Lattice Boltzmann Models for the Kuramoto–Sivashinsky Equation.” Computers and Fluids 172 (2018): 683–688.
Li, B., and Boghosian, B. M. “Duality in an Asset-Exchange Model for Wealth Distribution.” Physica A 497 (2018): 154–165.
Devitt-Lee, A., Boghosian, B. M., Li, J., and Wang, H. “A Nonstandard Description of Wealth Concentration in Large-Scale Economies.” SIAM Journal on Applied Mathematics 78, no. 2 (2017): 996–1008.
Otomo, B., and Boghosian, B. M. “Two Complementary Lattice-Boltzmann-Based Analyses for Nonlinear Systems.” Physica A 486 (2017): 1000–1011.
Boghosian, M., Devitt-Lee, A., Johnson, M., Marcq, J. A., Wang, H., and Li, J. “Oligarchy as a Phase Transition: The Effect of Wealth-Attained Advantage in a Fokker–Planck Description of Asset Exchange.” Physica A 476 (2017): 15–37.
Boghosian, M., Devitt-Lee, A., and Wang, H. “The Growth of Oligarchy in a Yard-Sale Model of Asset Exchange: A Logistic Equation for Wealth Condensation.” Proceedings of the 1st International Conference on Complex Information Systems (COMPLEXIS 2016) (2016): 187–193.
Boghosian, M., Johnson, M., and Marcq, J. A. “An H Theorem for Boltzmann’s Equation for the Yard-Sale Model of Asset Exchange.” Journal of Statistical Physics 161, no. 6 (2015): 1339–1350.
Boghosian, M. “Fokker–Planck Description of Wealth Dynamics and the Origin of Pareto’s Law.” International Journal of Modern Physics C 25, no. 11 (2014): 1441008.
Boghosian, M. “Kinetics of Wealth and the Pareto Law.” Physical Review E 89 (2014): 042804.
Boghosian, M., Fazendeiro, L. M., Lätt, J., Tang, H., and Coveney, P. V. “New Variational Principles for Locating Periodic Orbits of Differential Equations.” Philosophical Transactions of the Royal Society A 369 (2011): 2211–2218.
Boghosian, M., Brown, A., Lätt, J., Tang, H., Fazendeiro, L. M., and Coveney, P. V. “Unstable Periodic Orbits in the Lorenz Attractor.” Philosophical Transactions of the Royal Society A 369 (2011): 2345–2353.
Smith, A., and Boghosian, B. M. “A Robust Numerical Method for Integration of Point-Vortex Trajectories in Two Dimensions.” Physical Review E 83 (2010): 056702.
Caterina, C., and Boghosian, B. M. “An Order-Preserving Property of Additive Invariants for Takesue-Type Reversible Cellular Automata.” Theoretical Computer Science 411 (2010): 3877–3881.
Mendoza, A., Boghosian, B. M., Herrmann, H. J., and Succi, S. “Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics.” Physical Review D 82 (2010): 105008.
Mendoza, A., Boghosian, B. M., Herrmann, H. J., and Succi, S. “Fast Lattice Boltzmann Solver for Relativistic Hydrodynamics.” Physical Review Letters 105 (2010): 014502.
Fazendeiro, L. M., Boghosian, B. M., Coveney, P. V., and Lätt, J. “Unstable Periodic Orbits in Weak Turbulence.” Journal of Computational Science 1 (2010): 13–23.
Saksena, S., Boghosian, B. M., Fazendeiro, L., Kenway, O. A., Manos, S., Mazzeo, M. D., Sadiq, S. K., Suter, J. L., Wright, D., and Coveney, P. V. “Real Science at the Petascale.” Philosophical Transactions of the Royal Society A 367 (2009): 2557–2571.
Caterina, C., and Boghosian, B. M. “A ‘No-Go’ Theorem for the Existence of an Action Principle for Discrete Invertible Dynamical Systems.” Physica A 387 (2008): 6734–6744.
Boghosian, M., Coveney, P., Dong, S., Finn, L., Jha, S., Karniadakis, G., and Karonis, N. “Nektar, SPICE, and Vortonics: Using Federated Grids for Large-Scale Scientific Applications.” In Proceedings of Challenges of Large Applications in Distributed Environments (CLADE). IEEE Computing Society, June 19, 2006, pp. 34–42. ISBN 1-4244-0420-7. INSPEC Accession Number 9018016.
Love, J., and Boghosian, B. M. “Type II Quantum Algorithms.” Physica A 362 (2006): 210–214.
Boghosian, M. “Discrete Simulation of Fluid Dynamics.” Physica A 362 (2006): xi–xiv.
Xu, S., Succi, S., and Boghosian, B. M. “Lattice BBGKY Scheme for Two-Phase Flows: One-Dimensional Case.” In Proceedings of the 14th International Conference on the Discrete Simulation of Fluid Dynamics (DSFD 2005), published in Mathematics and Computers in Simulation 72 (2006): 249–252.
Boghosian, M. “General Theory of Galilean-Invariant Entropic Lattice Boltzmann Models.” In The Science and Culture Series – Physics: Complexity, Metastability and Nonextensivity, Proceedings of the 31st Workshop of the International School of Solid State Physics, Erice, Sicily, Italy, July 20–26, 2004. Published 2005, pp. 185–193.
Finn, L. I., Boghosian, B. M., and Kottke, C. N. “Vortex Core Identification in Viscous Hydrodynamics.” Transactions of the Royal Society A 363 (2005): 1937–1948.
Finn, L., and Boghosian, B. M. “A Global Variational Approach to Vortex Core Identification.” Physica A 362 (2006): 11–16.
Love, P. J., and Boghosian, B. M. “From Dirac to Diffusion: Decoherence in Quantum Lattice Gases.” Quantum Information Processing 4 (2005): 335–354.
Fair, D., Venkatesh, R., Boghosian, B., and Matson, D. M. “Role of Sample Size in Nucleation Kinetics of Phase Transformations in Steel Alloys.” Microgravity Science and Technology Journal XVI-1 (2005): 55–58.
Boghosian, B. M., and Boon, J.-P. “Lattice Boltzmann and Nonextensive Diffusion.” Europhysics News 36, no. 6 (November/December 2005): 192–194.
Pickles, M., Blake, R. J., Boghosian, B. M., Brooke, J. M., Chin, J., Clarke, P. E. L., Coveney, P. V., González-Segredo, N., Haines, R., Harting, J., Harvey, M., Jones, M. A. S., McKeown, M., Pinning, R. L., Porter, A. R., Roy, K., Riding, M. “The TeraGyroid Experiment.” In Proceedings of the Workshop on Case Studies on Grid Applications at GGF 10 (2004).
Love, P. J., and Boghosian, B. M. “Quaternionic Madelung Transformation and Non-Abelian Fluid Dynamics.” Physica A 332 (2004): 47–59.
Boghosian, B. M., Love, P. J., and Yepez, J. “Entropic Lattice Boltzmann Model for Burgers’ Equation.” Transactions of the Royal Society A 362 (2004): 1691–1702.
Love, P. J., Boghosian, B. M., and Meyer, D. A. “Lattice-Gas Simulations of Dynamical Geometry in One Dimension.” Philosophical Transactions of the Royal Society A 362 (2004): 1667–1676.
Boghosian, B. M., Love, P. J., and Yepez, J. “Galilean-Invariant Multi-Speed Entropic Lattice Boltzmann Models.” Physica D 193 (2003): 169–181.
Love, P. J., and Boghosian, B. M. “On the Dependence of the Navier–Stokes Equations on the Distribution of Molecular Velocities.” Physica D 193 (2003): 182–194.
Boghosian, B., Love, P. J., Coveney, P., Succi, S., Karlin, I., and Yepez, J. “Galilean-Invariant Lattice Boltzmann Models with H-Theorem.” Physical Review E 68, no. 2 (2003): 025103.
Boghosian, B., Love, P. J., and Meyer, D. A. “Toward the Simplest Hydrodynamic Lattice-Gas Model.” Philosophical Transactions of the Royal Society A 360 (2002): 333–344.
Yepez, J., and Boghosian, B. “An Efficient and Accurate Quantum Lattice-Gas Model for the Many-Body Schrödinger Wave Equation.” Computer Physics Communications 146 (2002): 280–294.
Alexander, F. J., Boghosian, B. M., Brower, R. C., and Kimura, S. R. “Fourier Acceleration of Langevin Molecular Dynamics.” Physical Review E 64 (2001): 066704.
Boghosian, M., Yepez, J., Coveney, P. V., and Wagner, A. J. “Entropic Lattice Boltzmann Methods.” Proceedings of the Royal Society A 457 (2001): 717–766.
Nekovee, M., Coveney, P. V., Chen, H., and Boghosian, B. M. “A Lattice-Boltzmann Model for Interacting Amphiphilic Fluids.” Physical Review E 62 (2000): 8282–8294.
Boghosian, M., Coveney, P. V., and Meyer, D. A. “A Particulate Basis for an Immiscible Lattice-Gas Model.” Computer Physics Communications 129 (2000): 46–55.
Chen, B., Boghosian, B. M., Coveney, P. V., and Nekovee, M. “A Lattice Boltzmann Model of Ternary Amphiphilic Fluids.” Proceedings of the Royal Society A 456 (2000): 2043–2057.
Boghosian, M., Coveney, P. V., and Love, P. J. “A Three-Dimensional Lattice-Gas Model for Amphiphilic Fluid Dynamics.” Proceedings of the Royal Society A 456 (2000): 1431–1454.
Boghosian, M., Chow, C., and Hwa, T. “Hydrodynamics of the Kuramoto–Sivashinsky Equation in Two Dimensions.” Physical Review Letters 83 (1999): 5262–5265.
Boghosian, M., “A Generalization of Metropolis and Heat-Bath Sampling for Monte Carlo Simulations.” Physical Review E 60 (1999): 1189–1194.
Boghosian, M. “Navier–Stokes Equations for Generalized Thermostatistics.” Brazilian Journal of Physics 29 (1999): 91–107.
Boghosian, M., and Coveney, P. V. “Inverse Chapman–Enskog Derivation of the Thermohydrodynamic Lattice-BGK Model.” International Journal of Modern Physics C 9 (1998): 1231–1246.
Coveney, V., Maillet, J.-B., Wilson, J. L., Fowler, P. W., Al-Mushadani, O., and Boghosian, B. M. “Lattice Gas Simulations of Ternary Amphiphilic Fluid Flow in Porous Media.” International Journal of Modern Physics C 9 (1998): 1479–1490.
Weig, W. J., Coveney, P. V., and Boghosian, B. M. “Lattice-Gas Simulations of Minority-Phase Domain Growth in Binary Immiscible and Ternary Amphiphilic Fluid.” Physical Review E 56 (1997): 6877–6888.
Emerton, N., Coveney, P. V., and Boghosian, B. M. “Applications of a Lattice-Gas Automaton Model for Amphiphilic Systems.” Physica A 239 (1997): 373–381.
Emerton, N., Weig, F. J. W., Coveney, P. V., and Boghosian, B. M. “The Shear-Induced Isotropic-to-Lamellar Transition in a Lattice-Gas Model of Ternary Amphiphilic Fluids.” Journal of Physics: Condensed Matter 9 (1997): 8893–8905.
Boghosian, M., and Taylor, W. “Quantum Lattice-Gas Models for the Many-Body Schrödinger Equation.” In Proceedings of the Sixth International Conference on Discrete Fluid Mechanics, International Journal of Modern Physics C 8 (1997): 705–716.
Starr, W., Harrington, S. T., Boghosian, B. M., and Stanley, H. E. “Interface Roughening in a Hydrodynamic Lattice-Gas Model with Surfactant.” Physical Review Letters 77 (1996): 3363–3366.
Emerton, N., Coveney, P. V., and Boghosian, B. M. “Lattice-Gas Simulations of Domain Growth, Saturation, and Self-Assembly in Immiscible Fluids and Microemulsions.” Physical Review E 55 (1997): 708–720.
Coveney, V., Emerton, A. N., and Boghosian, B. M. “Simulation of Self-Reproducing Micelles Using a Lattice-Gas Automaton.” Journal of the American Chemical Society 118 (1996): 10719–10724.
Boghosian, M., Yepez, J., Alexander, F. J., and Margolus, N. H. “Integer Lattice Gases.” Physical Review E 55 (1997): 4137–4147.
Boghosian, M., Coveney, P. V., and Emerton, A. N. “A Lattice-Gas Model of Microemulsions.” Proceedings of the Royal Society A 452 (1996): 1221–1250.
Boghosian, M. “Thermodynamic Description of Two-Dimensional Euler Turbulence Using Tsallis Statistics.” Physical Review E 53 (1996): 4754–4763.
Boghosian, M., and Taylor, W. “Renormalized Equilibria of a Schlögl Model Lattice Gas.” Statistical Physics 81 (1995): 295–317.
Adler, B., Boghosian, B. M., Flekkøy, E., Margolus, N. H., and Rothman, D. H. “Simulating Three-Dimensional Hydrodynamics on a Cellular Automata Machine.” Journal of Statistical Physics 81 (1995): 105–128.
Boghosian, M., and Taylor, W. “Correlations and Renormalization in Lattice Gases.” Physical Review E 52 (1995): 510–554.
Boghosian, M., and Taylor, W. “Renormalization of Lattice Gas Transport Coefficients.” In Pattern Formation and Lattice Gas Automata, edited by A. Lawniczak and R. Kapral. Fields Institute Communications 6 (1996): 13–27.
Germann, D., Herschbach, D. R., and Boghosian, B. M. “Dimensional Perturbation Theory on the Connection Machine.” Computers in Physics 8 (1994): 712–721.
Hillis, D., and Boghosian, B. M. “Parallel Scientific Computation.” Science 261 (1993): 856–863.
Anderson, B., Traynor, C. A., and Boghosian, B. M. “An Exact Quantum Monte Carlo Calculation of the Helium–Helium Intermolecular Potential.” Journal of Chemical Physics 99 (1993): 345–351.
Anderson, B., Traynor, C. A., and Boghosian, B. M. “Quantum Chemistry by Random Walk: Exact Treatment of Many-Electron Systems.” Journal of Chemical Physics 95 (1991): 7418–7425.
Traynor, A., Anderson, J. B., and Boghosian, B. M. “A Quantum Monte Carlo Calculation of the Ground-State Energy of the Hydrogen Molecule.” Journal of Chemical Physics 94 (1991): 3657–3664.
Tamayo, J. P., Mesirov, P. J., and Boghosian, B. M. “Parallel Approaches to Short-Range Molecular Dynamics Simulations.” In Proceedings of Supercomputing ’91, IEEE (1991): 462.
Levermore, D., and Boghosian, B. M. “Deterministic Cellular Automata with Diffusive Behavior.” In Cellular Automata and Modeling of Complex Physical Systems, edited by P. Manneville, N. Boccara, G. Y. Vichniac, and R. Bidaux. Springer Proceedings in Physics 46 (1989): 118–129.
Boghosian, M., and Levermore, C. D. “A Deterministic Cellular Automaton with Diffusive Behavior.” In Proceedings of the Workshop on Discrete Kinetic Theory, Lattice Gas Dynamics, and Foundations of Hydrodynamics, edited by R. Monaco. World Scientific (1989): 44–61.
Boghosian, M., Taylor, W., and Rothman, D. H. “A Cellular Automata Simulation of Two-Phase Flow on the CM-2 Connection Machine Computer.” In Proceedings of Supercomputing ’88, IEEE (1988): 34–44.
Boghosian, M., and Levermore, C. D. “A Cellular Automaton for Burgers’ Equation.” Complex Systems 1 (1987): 17–30.
Nevins, M., Boghosian, B. M., Cohen, R. H., Cummins, W. F., Dubois, P. F., Friedman, A., Lodestro, L. L., Matsuda, Y., Pearlstein, L. D., Porter, G. D., Rensink, M. E., Rognlien, T. D., Smith, G. R., Stewart, J. J., and Phillips, M. W. “A Tandem Mirror Modeling Code.” In Proceedings of the Eleventh International Conference on Plasma Physics and Controlled Nuclear Fusion Research (1986).
Kaufman, N., and Boghosian, B. M. “A Lie-Transform Derivation of the Gyrokinetic Hamiltonian System.” In Contemporary Mathematics, American Mathematical Society 28 (1984): 169–176.
Carlson, A., Barr, W. L., Boghosian, B. M., Devoto, R. S., Doggett, J. N., Hamilton, G. W., Johnston, B. M., Lee, J. D., Logan, B. G., Moir, R. W., Neef, W. S., Jr., and Campbell, R. B. “Designs of Tandem Mirror Fusion Reactors.” In Fusion Reactor Design and Technology 1, IAEA-TC-392/26 (1983).
Carlson, A., Barr, W. L., Boghosian, B. M., Bulmer, R. H., Campbell, R. B., Devoto, R. S., Hamilton, G. W., Johnston, B. M., Kumai, W. N., Logan, B. G. “Proceedings of the Fifth American Nuclear Society Topical Meeting on the Technology of Fusion Energy” (1983).
Carlson, A., Arfin, B., Barr, W. L., Boghosian, B. M., Erickson, J. L., Fink, J. H., Hamilton, G. W., Logan, B. G., Myall, J. O., Neef, W. S., Jr., Emmert, G. A., Kesner, G., Kulcinski, G. L., Larbalestier, D. C., Larsen, E. M., Maurer, W., Maynard, C. W., Santarius, J. E., Sviatoslavski, I. N., Sze, D. K., Vogelsang, W. F., and Wilkes, P. “Tandem Mirror Reactor with Thermal Barriers.” Nuclear Engineering and Design 63 (1983): 233–243.
Boghosian, M. “Plasma Performance Study for the Tandem Mirror Reactor.” In Proceedings of the Fourth ANS Topical Meeting on the Technology of Controlled Nuclear Fusion (1980).
Logan, G., Arfin, B., Barr, W. L., Boghosian, B. M., Carlson, G. A., Chu, T. C., Erickson, J. L., Fink, J. H., Fowler, T. K., Hamilton, G. W., Kaiser, T., Moir, R. W., Myall, J. O., Neef, W. S., Jr., Conn, R. W., Emmert, G. A., Kantrowitz, F., Kesner, G., Lao, J. L., Santarius, J., and Shaing, K. S. “Tandem Mirror Reactors with Thermal Barriers.” In Proceedings of the Eighth International Conference on Plasma Physics and Controlled Nuclear Fusion Research (1980).
