Ergodicity

Translation of "ergodicity" into Russian

ergodicity

Noun

ergodicity

ergodicities pl

эргодичность

The concept of ergodicity is crucial in statistical mechanics.

Понятие эргодичности имеет решающее значение в статистической механике.

Definitions

ergodicity

Noun

The property of a dynamical system that, given sufficient time, it will pass arbitrarily close to every state consistent with its conserved quantities, so that time averages equal ensemble averages.

Because of ergodicity, the long-term behaviour of the gas can be predicted from statistical properties alone.

In probability theory, the property of a stochastic process whereby the time average of a sample path converges to the expected value for almost every initial state.

The Markov chain is ergodic, so the empirical average of the state visits converges to the stationary distribution.

Idioms and phrases

ergodicity hypothesis

The ergodicity hypothesis is crucial for understanding statistical mechanics.

гипотеза эргодичности

Гипотеза эргодичности имеет ключевое значение для понимания статистической механики.

ergodicity assumption

The model relies on the ergodicity assumption for its calculations.

предположение эргодичности

Модель основывается на предположении эргодичности для своих расчетов.

ergodicity principle

The ergodicity principle is often debated among physicists.

принцип эргодичности

Принцип эргодичности часто обсуждается среди физиков.

ergodicity condition

Meeting the ergodicity condition is necessary for the system's stability.

условие эргодичности

Соблюдение условия эргодичности необходимо для стабильности системы.

ergodicity concept

The ergodicity concept is essential in various branches of physics and mathematics.

концепция эргодичности

Концепция эргодичности важна в различных областях физики и математики.