detailed balance

noun

a Markov process is said to show detailed balance if the transition rates between each pair of states i and j in the state space obey

“P_ijπᵢ=P_jiπⱼ,”

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Meanings

noundetailed balance (plural detailed balances)

plural detailed balances

  1. mathematicsa Markov process is said to show detailed balance if the transition rates between each pair of states i and j in the state space obey

    P_ijπᵢ=P_jiπⱼ,

    1 more example

    where P is the Markov transition matrix and πᵢ and πⱼ are the equilibrium probabilities of being in states i and j, respectively.

Translations

Bulgarian условие на баланса
  • условие на баланса (uslovie na balansa)a quality of Markov processes
German detailliertes Gleichgewicht, detailed balance
  • detailliertes Gleichgewichta quality of Markov processes
  • detailed balancea quality of Markov processes
Hebrew איזון מפורט
  • איזון מפורט (izún meforát)a quality of Markov processes
Cite this entry
APA

detailed balance. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/detailed%20balance

MLA

“detailed balance.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/detailed%20balance. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “detailed balance,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/detailed%20balance.

Source: detailed balance on Wiktionary, CC BY-SA 4.0.