Ageing in the contact process: scaling behaviour and universal features

作者：Baumann Florian^*; Gambassi Andrea

来源：Journal of Statistical Mechanics: Theory and Experiment , 2007, P01002.

DOI：10.1088/1742-5408/2007/01/P01002

• classical phase transitions (theory)
• critical exponents and amplitudes (theory)
• percolation problems (theory)
• slow dynamics and ageing (theory)

We investigate some aspects of the ageing behaviour observed in the contact process after a quench from its active phase to the critical point. In particular we discuss the scaling properties of the two-time response function and we calculate it and its universal ratio to the two-time correlation function up to first order in the field-theoretical epsilon-expansion (epsilon = 4-d). The scaling form of the response function does not fit the prediction of the theory of local scale invariance. Our findings are in good qualitative agreement with recent numerical results.

• 出版日期2007-1
• 单位中国科学院金属研究所