Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependen...Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependence of the specific heat indicates the system has two phase transitions, as verified clearly by the correlation function at three representative tem- peratures. By calculating the magnetic susceptibility, we obtained only the upper critical temperature as To2 = 0.9565（7）. Investigating the fixed-point tensor, we precisely locate the transition temperatures at Tcl = 0.9029（1） and Tc2 = 0.9520（1）, consistent well with the Monte Carlo and the density matrix renormalization group results.展开更多
We successfully employ an automatic centroid moment tensor(CMT) inversion system to infer the CMT solutions of the February 12,2014 MS7.3 Yutian,Xinjiang earthquake using near-field seismic waveforms(4° < △ &...We successfully employ an automatic centroid moment tensor(CMT) inversion system to infer the CMT solutions of the February 12,2014 MS7.3 Yutian,Xinjiang earthquake using near-field seismic waveforms(4° < △ < 12°) observed by the virtual China seismic networks,which have been recently set up.The results indicate that this event occurred on a rupture plane(strike 243°,dip 70°,and rake-18°),showing left-lateral strike-slip faulting with a minor normal-faulting component.The centroid in the horizontal direction is located nearly 13 km east of the epicenter(36.123° N,82.499° E),and the best-fitting centroid depth is around 10 km.The total scalar moment,M0,is retrieved with an average value of 3.05 × 1019N·m,corresponding to moment magnitude MW6.92.Most of the energy is released within about 14 s.Moreover,we discuss about the potential application of this system in earthquake disaster decision.展开更多
基于江苏、安徽、山东和浙江等省区域台网共19个宽频带数字台站的地震波形,采用HypoDD双差定位方法确定了2012年7月20日江苏高邮—宝应MS4.9级地震震中位置,再利用时间域矩张量反演法TDMT_INV获得了其震源机制解和震源深度.反演结果显...基于江苏、安徽、山东和浙江等省区域台网共19个宽频带数字台站的地震波形,采用HypoDD双差定位方法确定了2012年7月20日江苏高邮—宝应MS4.9级地震震中位置,再利用时间域矩张量反演法TDMT_INV获得了其震源机制解和震源深度.反演结果显示：最佳双力偶解为节面Ⅰ走向290°,倾角88°,滑动角-21°;节面Ⅱ走向21°,倾角69°,滑动角-177°,地震矩震级为MW4.95,震源深度约为7-9km.利用滑动时窗相关法提取sPn震相测定震源深度为8.95km,两者一致性较好.随后不同地壳模型和不同震中定位误差对反演结果的影响试验揭示了反演结果具有稳定性.通过以下几种分析：1与利用CAP（Cut and Paste）矩张量反演法得到的结果进行对比;2P波初动投影;3正反演试验探求反演结果不稳定的影响因素等方法,验证了反演结果的可靠性.综合本文研究成果、震后科学考察结果（包括重力测量和地震烈度分布图）及现有的地质构造资料,推测此次地震的发震构造为杨汊仓—桑树头断裂,节面Ⅱ为断层面,是一个右旋走滑兼有少量正断层性质的错动.展开更多
基金Project supported by the Fundamental Research Funds for the Central Universities,China(Grant No.531107040857)the Natural Science Foundation of Hunan Province,China(Grant No.851204035)the National Natural Science Foundation of China(Grant No.11774420)
文摘Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the phase transitions of the five-state clock model on the square lattice. The temperature dependence of the specific heat indicates the system has two phase transitions, as verified clearly by the correlation function at three representative tem- peratures. By calculating the magnetic susceptibility, we obtained only the upper critical temperature as To2 = 0.9565（7）. Investigating the fixed-point tensor, we precisely locate the transition temperatures at Tcl = 0.9029（1） and Tc2 = 0.9520（1）, consistent well with the Monte Carlo and the density matrix renormalization group results.
基金funded by Special Oceanic Scientific Research Program(201405026)Science for Earthquake Resilience Program(XH12060Y)Special Seismological Industry Research Program(201208003)
文摘We successfully employ an automatic centroid moment tensor(CMT) inversion system to infer the CMT solutions of the February 12,2014 MS7.3 Yutian,Xinjiang earthquake using near-field seismic waveforms(4° < △ < 12°) observed by the virtual China seismic networks,which have been recently set up.The results indicate that this event occurred on a rupture plane(strike 243°,dip 70°,and rake-18°),showing left-lateral strike-slip faulting with a minor normal-faulting component.The centroid in the horizontal direction is located nearly 13 km east of the epicenter(36.123° N,82.499° E),and the best-fitting centroid depth is around 10 km.The total scalar moment,M0,is retrieved with an average value of 3.05 × 1019N·m,corresponding to moment magnitude MW6.92.Most of the energy is released within about 14 s.Moreover,we discuss about the potential application of this system in earthquake disaster decision.
文摘基于江苏、安徽、山东和浙江等省区域台网共19个宽频带数字台站的地震波形,采用HypoDD双差定位方法确定了2012年7月20日江苏高邮—宝应MS4.9级地震震中位置,再利用时间域矩张量反演法TDMT_INV获得了其震源机制解和震源深度.反演结果显示：最佳双力偶解为节面Ⅰ走向290°,倾角88°,滑动角-21°;节面Ⅱ走向21°,倾角69°,滑动角-177°,地震矩震级为MW4.95,震源深度约为7-9km.利用滑动时窗相关法提取sPn震相测定震源深度为8.95km,两者一致性较好.随后不同地壳模型和不同震中定位误差对反演结果的影响试验揭示了反演结果具有稳定性.通过以下几种分析：1与利用CAP（Cut and Paste）矩张量反演法得到的结果进行对比;2P波初动投影;3正反演试验探求反演结果不稳定的影响因素等方法,验证了反演结果的可靠性.综合本文研究成果、震后科学考察结果（包括重力测量和地震烈度分布图）及现有的地质构造资料,推测此次地震的发震构造为杨汊仓—桑树头断裂,节面Ⅱ为断层面,是一个右旋走滑兼有少量正断层性质的错动.
