KANAI, Masahiro

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Project Assistant Professor
Field Applied mathematics
Research interests
Mathematical modeling of particle systems including traffic flow
Current research

Recent studies of mine are expressed by key words, "traffic flow" or "traffic jam". Traffic flow means collective phenomena of many-body systems such as vehicular traffic, and in particular traffic jam on highways which occurs without an evident cause like an accident. While the density of vehicles is small, traffic jam does not occur and each car can travel independently. In contrast, if the density gets larger, traffic jam occurs and we think of it as a phase transition from free flow to traffic jam. Therefore, we plan to investigate analytically the critical point of density where traffic jam sets in, and to prevent it with the help of the knowledge of the mechanism. With no doubt, it will be of great help to human society. Traffic jam occurs not only in vehicular traffic but also in almost every transportation, such as flow of pedestrians, packet communications, and substantial transportation in biological bodies. Then, it often causes serious difficulties and a massive breakdown of the system. For example, the Japanese government has estimated the economic loss due to traffic jam in highway amounts to 12,000,000,000,000yen for the year, and it is said that interrupted flow in body is responsible for serious diseases like Alzheimer disease. In my research on traffic flow, I intend to study these various traffic jams from the view of a unified theory, and investigate typical phenomena with mathematical models.

Selected publications
  1. Masahiro Kanai, Two-lane traffic-flow model with an exact steady-state solution, Phys. Rev. E 82, 066107 (2010).
  2. Masahiro Kanai, Calibration of the Particle Density in Cellular-Automaton Models for Traffic Flow, J. Phys. Soc. Jpn., 79 (2010) 075002.
  3. Masahiro Kanai, Shin Isojima, Katsuhiro Nishinari, and Tetsuji Tokihiro, Ultradiscrete optimal velocity model: A cellular-automaton model for traffic flow and linear instability of high-flux traffic, Phys. Rev. E 79, 056108 (2009).
  4. Yohei Tutiya and Masahiro Kanai, Exact Shock Solution of a Coupled System of Delay Differential Equations: A Car-following Model, J. Phys. Soc. Jpn., 76 (2007) 083002.
  5. Masahiro Kanai, Exact solution of the zero-range process: fundamental diagram of the corresponding exclusion process, J. Phys. A 40 (2007) 7127-7138.
  6. Masahiro Kanai, Katsuhiro Nishinari and Tetsuji Tokihiro, Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring, J. Phys. A 39 (2006) 9071-9079.
  7. Masahiro Kanai, Katsuhiro Nishinari and Tetsuji Tokihiro, Analytical study on the criticality of the Stochastic Optimal Velocity model, J. Phys. A 39 (2006) 2921-2933.
  8. Masahiro Kanai, Katsuhiro Nishinari and Tetsuji Tokihiro, Stochastic optimal velocity model and its long-lived metastability, Phys. Rev. E 72 035102-5(R), (2005).

The Mathematical Society of Japan

The Physical Society of Japan

Journal of the Physical Society of Japan, "JPSJ Papers of Editors' Choice", 2007.