1 Introduction The main production of Yabulai salt lake was original salt and recycled salt many years ago.After decade’s production,the sale lake resource is more and more deficient.Glauber’s salt and magnesium sal...1 Introduction The main production of Yabulai salt lake was original salt and recycled salt many years ago.After decade’s production,the sale lake resource is more and more deficient.Glauber’s salt and magnesium salt are concentrated in brine now.It could affect the quality of the salt.In recent years,research had done much work to展开更多
In this paper, we generalize Freidlin and Wentzell machinery [7] to the case of Glauber dynamics, which is still a stochastic dynamics even as the temperature vanishes. We first consider the probability to exit from a...In this paper, we generalize Freidlin and Wentzell machinery [7] to the case of Glauber dynamics, which is still a stochastic dynamics even as the temperature vanishes. We first consider the probability to exit from an attractive basin and enter into another one in the limit as the temperature goes to zero. The first exiting time to escape from an attractive basin of an attractor in which the process starts is estimated. Then we show conclusions above in the case of exiting from a region formed by geveral attractive basins. The unpredictability of the exiting time is proved.展开更多
It was first proposed that an extended chain Ising （ECI） model contains the Ising chain model, single spin doublewell potentials and a pure phonon heat bath of a specific energy exchange with the spins. The extensio...It was first proposed that an extended chain Ising （ECI） model contains the Ising chain model, single spin doublewell potentials and a pure phonon heat bath of a specific energy exchange with the spins. The extension method is easy to apply to high dimensional cases. Then the single spin-flip probability （rate） of the ECI model is deduced based on the Boltzmann principle and general statistical principles of independent events and the model is simplified to an extended chain Glauber-Ising （ECGI） model. Moreover, the relaxation dynamics of the ECGI model were simulated by the Monte Carlo method and a comparison with the predictions of the special chain Clauber-Ising （SCGI） model was presented. It was found that the results of the two models are consistent with each other when the Ising chain length is large enough and temperature is relative low, which is the most valuable case of the model applications. These show that the ECI model will provide a firm physical base for the widely used single spin-flip rate proposed by Glauber and a possible route to obtain the single spin-flip rate of other form and even the multi-spin-flip rate.展开更多
We studied the structure of 12 C through the modified Glauber model using the density distributions calculated by the relativistic mean field theory. The experimental reaction cross sections of 12 C + 12 C were analyz...We studied the structure of 12 C through the modified Glauber model using the density distributions calculated by the relativistic mean field theory. The experimental reaction cross sections of 12 C + 12 C were analyzed within the MOL by a χ 2 -fitting procedure. The effects of the nuclear deformation on the reaction cross sections are studied. The reliable structure of 12 C is deduced. The studies show that the conjunction of these two models will be a more effective tool to study the properties of nuclei.展开更多
At zero temperature, based on the Ising model, the phase transition in a two-dimensional square lattice is studied using the generalized zero-temperature Glauber dynamics. Using Monte Carlo （MC） renormalization grou...At zero temperature, based on the Ising model, the phase transition in a two-dimensional square lattice is studied using the generalized zero-temperature Glauber dynamics. Using Monte Carlo （MC） renormalization group methods, the static critical exponents and the dynamic exponent are studied; the type of phase transition is found to be of the first order.展开更多
基金financial support of National Nature Science Foundation (21376178)TIDA giant growth plan (2011-XJR13020)+3 种基金Tianjin Science and technology support program (12ZCDZSF06900)Tianjin University of Science and Technology fund for scientific research (20120119)Tianjin education commission program (20130509)Research fund for the doctoral program of higher education of China (20131208120001)
文摘1 Introduction The main production of Yabulai salt lake was original salt and recycled salt many years ago.After decade’s production,the sale lake resource is more and more deficient.Glauber’s salt and magnesium salt are concentrated in brine now.It could affect the quality of the salt.In recent years,research had done much work to
文摘In this paper, we generalize Freidlin and Wentzell machinery [7] to the case of Glauber dynamics, which is still a stochastic dynamics even as the temperature vanishes. We first consider the probability to exit from an attractive basin and enter into another one in the limit as the temperature goes to zero. The first exiting time to escape from an attractive basin of an attractor in which the process starts is estimated. Then we show conclusions above in the case of exiting from a region formed by geveral attractive basins. The unpredictability of the exiting time is proved.
基金supported by the National Natural Science Foundation of China (Grant Nos.10774064 and 30860076)Xinjiang High-Tech Development Foundation (Grant No.200916126)the Key Natural Science Foundation of Xinjiang Science-Technology Department (Grant Nos.200821104 and 200821184)
文摘It was first proposed that an extended chain Ising （ECI） model contains the Ising chain model, single spin doublewell potentials and a pure phonon heat bath of a specific energy exchange with the spins. The extension method is easy to apply to high dimensional cases. Then the single spin-flip probability （rate） of the ECI model is deduced based on the Boltzmann principle and general statistical principles of independent events and the model is simplified to an extended chain Glauber-Ising （ECGI） model. Moreover, the relaxation dynamics of the ECGI model were simulated by the Monte Carlo method and a comparison with the predictions of the special chain Clauber-Ising （SCGI） model was presented. It was found that the results of the two models are consistent with each other when the Ising chain length is large enough and temperature is relative low, which is the most valuable case of the model applications. These show that the ECI model will provide a firm physical base for the widely used single spin-flip rate proposed by Glauber and a possible route to obtain the single spin-flip rate of other form and even the multi-spin-flip rate.
文摘We studied the structure of 12 C through the modified Glauber model using the density distributions calculated by the relativistic mean field theory. The experimental reaction cross sections of 12 C + 12 C were analyzed within the MOL by a χ 2 -fitting procedure. The effects of the nuclear deformation on the reaction cross sections are studied. The reliable structure of 12 C is deduced. The studies show that the conjunction of these two models will be a more effective tool to study the properties of nuclei.
文摘At zero temperature, based on the Ising model, the phase transition in a two-dimensional square lattice is studied using the generalized zero-temperature Glauber dynamics. Using Monte Carlo （MC） renormalization group methods, the static critical exponents and the dynamic exponent are studied; the type of phase transition is found to be of the first order.
