摘要 We give a first principles derivation of the 隨機 p

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• 類型：已發表論文
• 日期：2013-10-30

摘要

We give a first principles derivation of the 隨機 partial differential equations that describe the chemical reactions of the Gray-Scott model (GS): U + 2V ->(lambda) 3V and V -> P, U ->(v)Q, with a constant feed rate for U. We find that the conservation of probability ensured by the chemical master equation leads to a modification of the usual differential equations for the GS model, which now involves two composite fields and also intrinsic noise terms. One of the composites is psi(1) = phi(2)(v), where= v is the concentration of the 物種 V and the averaging is over the internal noise. eta(u, v, psi 1). The second composite field is the product of three fields. =.fuf2 v and requires a noise source to ensure probability conservation. A third composite psi(2) = phi(u) phi(v) can also be identif

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