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单词 Microcanonical distribution
释义

Microcanonical distribution

中文百科

微正则系综 Microcanonical ensemble

（重定向自Microcanonical distribution）

微正则系综(microcanonical ensemble)是由许多具有相同能量，粒子数，体积的体系的集合。它是统计力学系综的一种。其配分函数\Omega \,是在能量E_0 \,上的能态密度。

\Omega(E_0) = \sum \delta(E-E_0) \,
英语百科

Microcanonical ensemble 微正则系综

（重定向自Microcanonical distribution）
Example of microcanonical ensemble for a quantum system consisting of one particle in a potential well.Plot of all possible states of this system. The available stationary states displayed as horizontal bars of varying darkness according to |ψi(x)|2.An ensemble containing only those states within a narrow interval of energy. As the energy width is taken to zero, a microcanonical ensemble is obtained (provided the interval contains at least one state).The particle's Hamiltonian is Schrödinger-type, Ĥ = U(x) + p2/2m (the potential U(x) is plotted as a red curve). Each panel shows an energy-position plot with the various stationary states, along with a side plot showing the distribution of states in energy.
Example of microcanonical ensemble for a classical system consisting of one particle in a potential well.Plot of all possible states of this system. The available physical states are evenly distributed in phase space, but with an uneven distribution in energy; the side-plot displays dv/dE.An ensemble restricted to only those states within a narrow interval of energy. This ensemble appears as a thin shell in phase space. As the energy width is taken to zero, a microcanonical ensemble is obtained.Each panel shows phase space (upper graph) and energy-position space (lower graph). The particle's Hamiltonian is H = U(x) + p2/2m, with the potential U(x) shown as a red curve. The side plot shows the distribution of states in energy.

In statistical mechanics, a microcanonical ensemble is the statistical ensemble that is used to represent the possible states of a mechanical system which has an exactly specified total energy. The system is assumed to be isolated in the sense that the system cannot exchange energy or particles with its environment, so that (by conservation of energy) the energy of the system remains exactly known as time goes on. The system's energy, composition, volume, and shape are kept the same in all possible states of the system.
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更新时间：2025/6/21 9:06:55