Last Updated：2025/12/07
(physics, statistical mechanics) A particular probability distribution originally defined and used for describing particle speeds in idealized gases. Mathematically, it is the chi distribution with three degrees of freedom (the components of the velocity vector in Euclidean space), with a scale parameter measuring speeds in units proportional to the square root of the ratio of temperature and particle mass.
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Maxwell-Boltzmann distribution
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Source Word
Maxwell-Boltzmann distribution
Noun
(physics,
statistical
mechanics)
A
particular
probability
distribution
originally
defined
and
used
for
describing
particle
speeds
in
idealized
gases.
Mathematically,
it
is
the
chi
distribution
with
three
degrees
of
freedom
(the
components
of
the
velocity
vector
in
Euclidean
space),
with
a
scale
parameter
measuring
speeds
in
units
proportional
to
the
square
root
of
the
ratio
of
temperature
and
particle
mass.
Japanese Meaning
最大・ボルツマン分布：物理学および統計力学において、理想気体中の粒子の速度を記述するために元々定義された特定の確率分布。数学的には、ユークリッド空間内の速度ベクトルの各成分に対応する3自由度のカイ分布として表され、温度と粒子の質量の比の平方根に比例した単位で速度を測るためのスケールパラメータを持つ。
Sense（1）
(physics,
statistical
mechanics)
A
particular
probability
distribution
originally
defined
and
used
for
describing
particle
speeds
in
idealized
gases.
Mathematically,
it
is
the
chi
distribution
with
three
degrees
of
freedom
(the
components
of
the
velocity
vector
in
Euclidean
space),
with
a
scale
parameter
measuring
speeds
in
units
proportional
to
the
square
root
of
the
ratio
of
temperature
and
particle
mass.
（ plural ）
