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Monte Carlo Methods

  • Kaoru Ohno
  • Keivan Esfarjani
  • Yoshiyuki Kawazoe
Chapter

Abstract

Nature is composed of gross assemblies of huge numbers of atoms and molecules showing a wide variety of phenomena according to the way how they are assembling. The macroscopic behaviors of such systems are rather different from the microscopic laws in the world of atoms and molecules. For example, in the usual cases of macroscopic systems, the motion of the atoms and molecules can be regarded simply as heat. That is, the average kinetic energy of each atom and molecule in a macroscopic system is equal to a quantity measured as the temperature. The other contributor to macroscopic behavior is the cooperative motion of atoms and molecules (or sometimes electrons). Since atoms and molecules interact with each other, their macroscopic assemblies can have cooperative motions. Many examples can be seen in our daily life: spring or rubber elasticity, magnetization in permanent magnets, shape memory alloys, liquid flows, surface tension of liquids, swelling of polymers by water absorption, etc. Sometimes such cooperative motions are frozen as the temperature decreases. In this case, the states which have been realized at higher temperatures become unstable.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Kaoru Ohno
    • 1
  • Keivan Esfarjani
    • 2
  • Yoshiyuki Kawazoe
    • 3
  1. 1.Department of PhysicsYokohama National UniversityYokohamaJapan
  2. 2.Department of Mechanical and Aerospace Engineering, Materials Science and Engineering and PhysicsUniversity of VirginiaCharlottesvilleUSA
  3. 3.New Industry Creation Hatchery CenterTohoku UniversitySendaiJapan

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