Last Updated：2025/12/07
(statistical mechanics) A criterion for choosing a probability distribution for the statistical ensemble of microstates of a thermodynamic system by minimizing the average log probability ⟨ ln p_i⟩=∑ᵢp_i ln p_i,, subject to the probability distribution pᵢ satisfying a set of constraints (usually expectation values) corresponding to the known macroscopic quantities.
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Gibbs algorithm
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Source Word
Gibbs algorithm
Proper noun
(statistical
mechanics)
A
criterion
for
choosing
a
probability
distribution
for
the
statistical
ensemble
of
microstates
of
a
thermodynamic
system
by
minimizing
the
average
log
probability
⟨
ln
p_i⟩=∑ᵢp_i
ln
p_i,,
subject
to
the
probability
distribution
pᵢ
satisfying
a
set
of
constraints
(usually
expectation
values)
corresponding
to
the
known
macroscopic
quantities.
Japanese Meaning
統計力学において、熱力学系のミクロ状態の統計アンサンブルの確率分布を、制約条件（通常は期待値）に基づいて定めるために、平均対数確率（∑ p_i ln p_i）の最小化を用いる選択基準。 / ギブズのアルゴリズムとも呼ばれ、既知の巨視的量に対応する制約条件を満たす確率分布の設定手法。
Sense（1）
(statistical
mechanics)
A
criterion
for
choosing
a
probability
distribution
for
the
statistical
ensemble
of
microstates
of
a
thermodynamic
system
by
minimizing
the
average
log
probability
⟨
ln
p_i⟩=∑ᵢp_i
ln
p_i,,
subject
to
the
probability
distribution
pᵢ
satisfying
a
set
of
constraints
(usually
expectation
values)
corresponding
to
the
known
macroscopic
quantities.
（ canonical ）
