Action minimization for an Allen-Cahn equation with an unequal double-well potential
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概要
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We consider the minimization problem of the Allen-Cahn action functional with an unequal double-well potential. For the stochastic Allen-Cahn equation switching from one stable state to the other rarely occurs. The probability of switching is determined by the minimum of the action functional. We give an explicit description of the minimum and its optimal path in one-dimension.
- Springer-Verlagの論文
- 2012-01-00
Springer-Verlag | 論文
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