“configuration space”的概念、定义、翻译、参考文献-科学参考

configuration space

Physics

The n-dimensional space with coordinates (q₁,q₂,…,q_n) associated with a system that has n degrees of freedom, where the values q describe the degrees of freedom. For example, in a gas of N atoms each atom has three positional coordinates, so the configuration space is 3N-dimensional. If the particles also have internal degrees of freedom, such as those caused by vibration and rotation in a molecule, then these must be included in the configuration space, which is consequently of a higher dimension. See also phase space.

Mathematics

The state of a mechanical or dynamical system, such as a double pendulum or populations of competing species, can be specified with information about the system’s variables; for example, the positions (x₁, y₁, z₁) and (x₂, y₂, z₂) of the pendulum’s ends might be given. Thus, every possible configuration of the double pendulum corresponds to a coordinate vector in ℝ⁶. But because the two pendulum have fixed lengths, the possible configurations of the pendulum are actually a 4 (= 6–2) dimensional subset of ℝ⁶. This dimension, here 4, equals the degrees of freedom of the system.

Chemistry

The n-dimensional space with coordinates (q₁,q₂,…,q_n) associated with a system that has n degrees of freedom, where the values q describe the degrees of freedom. For example, in a gas of N atoms each atom has three positional coordinates, so the configuration space is 3N-dimensional. If the particles also have internal degrees of freedom, such as those caused by vibration and rotation in a molecule, then these must be included in the configuration space, which is consequently of a higher dimension. See also statistical mechanics.

单词	configuration space
释义	configuration space Physics The n-dimensional space with coordinates (q₁,q₂,…,q_n) associated with a system that has n degrees of freedom, where the values q describe the degrees of freedom. For example, in a gas of N atoms each atom has three positional coordinates, so the configuration space is 3N-dimensional. If the particles also have internal degrees of freedom, such as those caused by vibration and rotation in a molecule, then these must be included in the configuration space, which is consequently of a higher dimension. See also phase space. Mathematics The state of a mechanical or dynamical system, such as a double pendulum or populations of competing species, can be specified with information about the system’s variables; for example, the positions (x₁, y₁, z₁) and (x₂, y₂, z₂) of the pendulum’s ends might be given. Thus, every possible configuration of the double pendulum corresponds to a coordinate vector in ℝ⁶. But because the two pendulum have fixed lengths, the possible configurations of the pendulum are actually a 4 (= 6–2) dimensional subset of ℝ⁶. This dimension, here 4, equals the degrees of freedom of the system. Chemistry The n-dimensional space with coordinates (q₁,q₂,…,q_n) associated with a system that has n degrees of freedom, where the values q describe the degrees of freedom. For example, in a gas of N atoms each atom has three positional coordinates, so the configuration space is 3N-dimensional. If the particles also have internal degrees of freedom, such as those caused by vibration and rotation in a molecule, then these must be included in the configuration space, which is consequently of a higher dimension. See also statistical mechanics.
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