共查询到20条相似文献,搜索用时 15 毫秒
1.
Hiroshi Koibuchi 《Journal of statistical physics》2007,127(3):457-470
A first-order transition is numerically found in a spherical surface model with skeletons, which are linked to each other
at junctions. The shape of the triangulated surfaces is maintained by skeletons, which have a one-dimensional bending elasticity
characterized by the bending rigidity b, and the surfaces have no two-dimensional bending elasticity except at the junctions. The surfaces swell and become spherical
at large b and collapse and crumple at small b. These two phases are separated from each other by the first-order transition. Although both of the surfaces and the skeleton
are allowed to self-intersect and, hence, phantom, our results indicate a possible phase transition in biological or artificial
membranes whose shape is maintained by cytoskeletons. 相似文献
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LI Ke-Ping GAO Zi-You 《理论物理通讯》2004,42(9)
One of the dynamic phases of the traffic flow is the traffic jam. It appears in traffic flow when the vehicledensity is larger than the critical value. In this paper, a new method is presented to investigate the traffic jam when thevehicle density is smaller than the critical value. In our method, we introduce noise into the traffic system after sufficienttransient time. Under the effect of noise, the traffic jam appears, and the phase transition from tree to synchronized flowoccurs in traffic flow. Our method is tested for the deterministic NaSch traffic model. The simulation results demonstratethat there exist a broad range of lower densities at which the noise effect leading to traffic jam can be observed. 相似文献
4.
We consider several statistical models defined on the Farey fractions. Two of these models may be regarded as spin chains, with long-range interactions, while another arises in the study of multifractals associated with chaotic maps exhibiting intermittency. We prove that these models all have the same free energy. Their thermodynamic behavior is determined by the spectrum of the transfer operator (Ruelle–Perron–Frobenius operator), which is defined using the maps (presentation functions) generating the Farey tree. The spectrum of this operator was completely determined by Prellberg. It follows that these models have a second-order phase transition with a specific heat divergence of the form C [ ln2
]–1. The spin chain models are also rigorously known to have a discontinuity in the magnetization at the phase transition. 相似文献
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We consider the Q-state Potts model on Z
d
, Q≥ 3, d≥ 2, with Kac ferromagnetic interactions and scaling parameter γ. We prove the existence of a first order phase transition
for large but finite potential ranges. More precisely we prove that for γ small enough there is a value of the temperature
at which coexist Q+1 Gibbs states. The proof is obtained by a perturbation around mean-field using Pirogov-Sinai theory. The result is valid
in particular for d = 2, Q = 3, in contrast with the case of nearest-neighbor interactions for which available results indicate a second order phase
transition. Putting both results together provides an example of a system which undergoes a transition from second to first
order phase transition by changing only the finite range of the interaction. 相似文献
7.
用荧光光谱研究了系列双亲物CnNaph(1,5)C6N+(n=16,12,10,8,6和4)聚集体的热致相变,发现荧光强度随温度升高发生了急剧变化,归因于聚集体从凝胶态到液晶态的相变。实验结果表明,尾链长短直接影响聚集体结构和相变温度Tc高低:尾链长,聚集体堆积密度大,荧光强度强,Tc高;反之亦反。荧光光谱的实验结果与透射电镜和DSC研究结果一致。 相似文献
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We explore the spin-boson model in a special case, i.e., with zero local field. In contrast to previous studies, we find no possibility for quantum phase transition (QPT) happening between the localized and delocalized phases, and the behavior of the model can be fully characterized by the even or odd parity as well as the parity breaking, instead of the QPT, owned by the ground state of the system. The parity breaking mentioned in our case is completely different from the spontaneously broken symmetry relevant to the conventionally defined QPT in previous studies. Our analytical treatment about the eigensolution of the ground state of the model presents for the first time a rigorous proof of no- degeneracy for the ground state of the model, which is independent of the bath type, the degrees of freedom of the bath and the calculation precision. We argue that the QPT mentioned previously appears due to incorrect employment of the ground state of the model and/or unreasonable treatment of the infrared divergence existing in the spectral functions for Ohmic and sub-Ohmic dissipations. 相似文献
10.
A phenomenological model of the transition from quark-gluon phase to hadron phase is presented on the analogy of BCS theory. The massive current-quarks constitute the quark Cooper-pair, i.e., the hadron at Tc = 150~200 MeV, The order parameter of qq-pair takes a value in the range from 0.4 to 0.2 GeV. An experimental verification method of the present model in the heavy-ion collision is proposed. 相似文献
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分别利用单胶子交换和单π交换夸克模型计算了核子负宇称激发态的电磁跃迁振幅,讨论了两个模型所给出的不同的组态混合角. 结果表明, 单胶子交换模型所给出的重子波函数比单π交换夸克模型的波函数更为合理.Electromagnetic transition amplitudes of negative parity resonances are calculated based on one pion exchange (OPE) model and one gluon exchange (OGE) model, respectively. The configuration mixing caused by the hyperfine interactions of the two models is discussed. Calculated results for the amplitudes indicate that baryon wave functions of OGE are more reasonable than those of OPE. 相似文献
13.
We explore the spin-boson model in a special case, i.e., with zero local field. In contrast to previous studies, we find no possibility for quantum phase transition (QPT) happening between the localized and delocalized phases, and the behavior of the model can be fully characterized by the even or odd parity as well as the parity breaking, instead of the QPT, owned by the ground state of the system. The parity breaking mentioned in our case is completely different from the spontaneously broken symmetry relevant to the conventionally defined QPT in previous studies. Our analytical treatment about the eigensolution of the ground state of the model presents for the first time a rigorous proof of no-degeneracy for the ground state of the model, which is independent of the bath type, the degrees of freedom of the bath and the calculation precision. We argue that the QPT mentioned previously appears due to incorrect employment of the ground state of the model and/or unreasonable treatment of the infrared divergence existing in the spectral functions for Ohmic and sub-Ohmic dissipations. 相似文献
14.
Michael Kastner 《Journal of statistical physics》2002,109(1-2):133-142
Properties of the two dimensional Ising model with fixed magnetization are deduced from known exact results on the two dimensional Ising model. The existence of a continuous phase transition is shown for arbitrary values of the fixed magnetization when crossing the boundary of the coexistence region. Modifications of this result for systems of spatial dimension greater than two are discussed. 相似文献
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The self-charging model of two-dimensional Josephson-junction arrays at T = 0 is studied by the coupled cluster expansion method. The calculated results for the mass gap converge nicely. Besides the critical point, we also determine the critical parameters at T = 0. The system displays a second-order phase transition and the results are consistent with those obtained by other methods. 相似文献
17.
应用弱噪声展开方法,计算了偏离势条件情况下,双模三次激光模型中福克-普朗克方程的近似稳态解。讨论了稳态中最可几光场分布随参量的变化规律。当I2为弱场时,不管考虑Qst(Il,I20)还是约化几率分布Q^-st(I1),都可以观察到一阶类相变现象。在双模光场情形,模间锅台对产生一阶类相变的影响不可忽略。 相似文献
18.
Starting from the QHD-I model, the nucleon-nucleon interaction potential in hot/dense nuclear matter is studied. We find that the attractive and repulsive Yukawa potential between nucleons is modified by the variation of Debye mass directly and, especially, the nucleon system described by this Yukawa potential will be unbounded at some critical T and μ. The critical point we get accords with that of L-G phase transition given by the P - pB phase diagram. 相似文献
19.
We explore the NJL model with Polyakov loops for a system of three colors and two flavors within the mean-field approximation, where both chiral symmetry and confinement are taken into account. We focus on the phase structure of the model and study the chiral and Polyakov loop susceptibilities. 相似文献
20.
JINMeng CHENJi-Sheng LIJia-Rong 《理论物理通讯》2003,40(6):735-738
Starting from the QHD-I model, the nucleon-nucleon interaction potential in hot/dense nuclear matter is studied. We find that the attractive and repulsive Yukawa potential between nucleons is modified by the variation of Debye mass directly and, especially, the nucleon system described by this Yukawa potential will be unbounded at some critical T and μ. The critical point we get accords with that of L-G phase transition given by the P - ρs phase diagram. 相似文献