科技英语翻译3Although all systems in the ensemble are composed ofthe same type of particles with the same kind of interactions,under the same external conditions, the distribution of particlesamong the different values of microscopic energies~m

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科技英语翻译3Althoughallsystemsintheensemblearecomposedofthesametypeofparticleswiththesamekindofinteractio

科技英语翻译3Although all systems in the ensemble are composed ofthe same type of particles with the same kind of interactions,under the same external conditions, the distribution of particlesamong the different values of microscopic energies~m
科技英语翻译3
Although all systems in the ensemble are composed of
the same type of particles with the same kind of interactions,
under the same external conditions, the distribution of particles
among the different values of microscopic energies
~microstate! will differ from system to system. Nevertheless,
according to statistical mechanics the majority of the systems
in the ensemble will be in the same equilibrium state ~macrostate!,
which implies that there will be a most probable
distribution of particles, whose parameters will be associated
with the macroscopic state. Even though the interaction is
the same, the form of the distribution will be determined by
whether the mechanical treatment given to the particles is
classical or quantum. The conditions to apply for one or the
other are established through the Heinsenberg uncertainty
principle (2pDqDp>h with h being Planck’s constant!,
which restricts the accuracy with which position, (Dq), and
momentum, (Dp), can be simultaneously ascribed to a particle,
or energy and time of measurement.
A comparison of the number of particles, N, with the
number of energy states, «i , available to them will lead to a
criterion for the use of quantum or classical mechanics.
Thus, if the number of states is very large then the energy
may be regarded as continuous and classical mechanics will
be acceptable. An equivalent approach4 is to compare the
average distance, (V/N)1/3, among particles of mass m, contained
in a volume V and at temperature T, with the associated
de Broglie’s wavelength (A2mkT, k being Boltzmann’s
constant! so that quantum mechanics is required when the
wavelength is larger than the average distance, since momentum
and position are not well determined under this condition.
Quantum mechanically, care should be taken to account
for the so-called Pauli exclusion principle,5 since it will limit
the number of particles in a given state. If the occupation
number is restricted, then the resulting distribution will be
that of Fermi–Dirac; otherwise, the Bose–Einstein distribution
will describe the occupation of the accessible states.6
Both distributions have the Boltzmann distribution as the
asymptotic limit, which results from the classical treatment
of the particles and does not restrict the occupation number.

科技英语翻译3Although all systems in the ensemble are composed ofthe same type of particles with the same kind of interactions,under the same external conditions, the distribution of particlesamong the different values of microscopic energies~m
尽管所有的制度都是由乐团同类粒子同一种互动,在同样的外部条件下,颗粒分布在不同的价值观~microstate微观能量!将因制度不同而异.然而,根据统计力学系统的大部分乐团将在同一国家平衡macrostate~!
这意味着将有一个最可能分布颗粒,其范围将涉及宏观状态.即使是相同的互动、分配方式将取决于机械给予治疗,是传统或量子粒子.申请条件是建立一个或另一个不确定原则通过Heinsenberg(H与H正在2PDQDP>业的!
,制约着位置的准确性(部门)、动力(下午),同时可以归咎于一种粒子,或精力和时间计量.
比较多的微粒、N、能源与多国«一 可他们将导致使用标准量子力学或古典.
因此,如果一些国家非常大的能量,可以看作是持续和古典力学可以接受.
作法是把相当于平均距离(V/N)1/3,粒子之间的大规模米,载量的温度t和v,De与相关函数的波长(A2MKT,K是关心的不断!
因此,量子力学需要在波长大于平均距离,由于位置不够好势头,在这种情况下决定.
量子机械 要注意说明所谓现行预算的支出,因为它排除原则>将限定在某个粒子的状态.
如果只占领的话,造成的分配将是墨索里尼--Dirac;
否则,百色-爱因斯坦分布将职业介绍的可分配states.6都分布有关心的渐进限制 传统治疗所造成的粒子,不限制人数占领.

虽然所有系统在合奏组成
同样类型微粒以这同样互作用,
在同样外在条件下, 微粒的发行
在微观能量之中的不同的价值
~microstate! 将不同从系统到系统。 然而,
根据统计技工系统的多数
在合奏将是在同样平衡状态~macrostate!,
哪些暗示有将是一最可能的
微粒的发行, 谁的参量将是伴生的
以宏...

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虽然所有系统在合奏组成
同样类型微粒以这同样互作用,
在同样外在条件下, 微粒的发行
在微观能量之中的不同的价值
~microstate! 将不同从系统到系统。 然而,
根据统计技工系统的多数
在合奏将是在同样平衡状态~macrostate!,
哪些暗示有将是一最可能的
微粒的发行, 谁的参量将是伴生的
以宏观状态。 即使互作用是
同样, 发行的形式将被确定
是否机械治疗被给微粒是
古典或量子。 条件申请一个或
其他建立通过Heinsenberg 不确定性
原则(2pDqDp>h 以h 是Planck..s 常数!,
哪些制约准确性位置, (Dq), 并且
动量, (Dp), 能同时把归咎对微粒,
或测量的能量和时期。
微粒的数量的比较, N, 与
能量状态的数字, "我, 可利用对他们将导致a
标准至于对量子或古典技工的使用。
因而, 如果状态的数量是非常大的然后能量
可以认为连续并且古典技工将
是可接受的。 等效approach4 将比较
平均距离, (V/N)1/3, 在大量之中m 微粒, 包含
在容量v 和在温度T, 与伴生
de Broglie..s 波长(A2mkT, k 是Boltzmann..s
恒定! 以便量子力学必须当
波长比平均距离大的, 从动量
并且位置不是好坚定下面这个情况。
量子机械, 应该被保重对帐户
为所谓的Pauli 排除原则, 5 因为它将限制
微粒的数量在一个指定的状态。 如果职业
数字是限于, 然后收效的发行将是
那Fermi.CDirac; 否则, Bose.CEinstein 发行
将描述容易接近的states.6 的职业
两发行有伯磁曼发行作为
渐进极限, 哪个结果从古典治疗
微粒, 不制约职业数字。

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虽然全部系统在内整体由组成相同类型粒子与一起相同的相互作用, 在相同外部状况,粒子在不同微小能源微小国家的价值中的分配下! 将和意见不同给系统的系统。 虽然如此,根据统计力学在乐队的体制中的多数将在相同的平衡态macrostate里! ,哪个暗示将有一最很可能distri...

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虽然全部系统在内整体由组成相同类型粒子与一起相同的相互作用, 在相同外部状况,粒子在不同微小能源微小国家的价值中的分配下! 将和意见不同给系统的系统。 虽然如此,根据统计力学在乐队的体制中的多数将在相同的平衡态macrostate里! ,哪个暗示将有一最很可能distri

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