Effects of White Noise on Parametric Resonance in λφ^4 Theory(Nuclear Physics)

スポンサーリンク

概要

• 論文の詳細を見る

• We investigate the effects of white noise on parametric resonance in λφ^4 theory. The potential V(φ) in this study is 1/2m^2φ^2+1/3gφ^3+1/4λφ^4. A Mathieu-like equation is derived and the derived equation is applied to a partially thermalized system. The magnitudes of the amplifications are extracted by solving the equations numerically for various values of the parameters. It is found that the amplification is suppressed by white noise in almost all the cases. However, in some g=0 cases, the amplification with white noise is slightly stronger than that without white noise. In all the cases g=0, the fields are always amplified. This amplification is maximal at k_m≠0 in some g=0 cases, where k_m represents the mode divided by m. Contrastingly, in the g=3√<2λ>m/2 cases, the fields for some finite modes are suppressed, and the amplification is maximal for k_m〜0 when the amplification occurs. It is possible to determine using these differences whether or not the system is in the g=0 state.

• 理論物理学刊行会の論文
• 2005-07-25

著者

• Ishihara Masamichi

  Koriyama Women's Univ. Koriyama Jpn

• Ishihara Masamichi

  Department Of Human Life Studies Koriyama Women's University

関連論文

• Effects of Nonlinear Terms on Parametric Resonance in the λφ^4 Model(Nuclear Physics)
• Amplification Induced by White Noise(Condensed Matter and Statistical Physics)
• Effects of White Noise on Parametric Resonance in λφ^4 Theory(Nuclear Physics)

スポンサーリンク