Metropolis Dynamics Relaxation via Nucleation and Growth
Metropolis Dynamics Relaxation via Nucleation and Growth
复制标题
大都会动力学通过成核和生长松弛
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
R. Schonmann
中科院分区：
文献类型：
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作者：
Pouria Dehghanpour;R. Schonmann
摘要：我们考虑在小的正外场h下具有Metropolis动力学的Ising模型。我们证明了弛豫时间，即系统从所有自旋-1开始到达(+)相所需的时间，与温度成比例，其中和是“临界”液滴的能量。该因子源于液滴的生长，并与晶格的尺寸有关，而项(2-h)与高超临界液滴的生长速度有关。
Abstract:We consider the Ising model with Metropolis dynamics on under a small positive external field h. We show that the relaxation time, i.e., the time it takes for the system to reach the (+)-phase starting from all spins -1, scales as as the temperature , where and is the energy of a “critical” droplet. The factor originates from droplet growth and is related to the dimension of the lattice, while the term (2-h) is related to the rate of growth of highly supercritical droplets.