Theoretical advances in the study of non-equilibrium phenomena are briefly reviewed with emphasis on steady state properties of one-dimensional driven lattice gases. The presentation is focused on the totally asymmetric simple-exclusion process (TASEP) with open boundary conditions: particles are injected at the left end with rate alpha and removed at the right end with rate beta. Depending on the values of these parameters, the model exhibits three stationary phases, separated by lines of first- and second-order non-equilibrium phase transitions. New simulation results on the power spectrum of the fluctuating total number of particles in the different phases of the system are presented. Our theoretical contribution concerns the approximate evaluation of the power spectrum in the domain-wall picture of the coexisting low- and high-density phases. Finally, we review some of our recent results on the TASEP defined on an open network containing a double-chain section in the middle. With the aid of a simple theory, which neglects correlations at the junctions of the chain segments, the possible phase structures of the model are found. Density profiles and nearest-neighbor correlations in the steady states of the model at representative points of the phase diagram are obtained by means of computer simulations. On the coexistence line cross-correlations are found to exist between equivalent sites in the branches of the middle section.
Explanation of Observed Features of Self-Organization in Traffic Flow
基于“智能驾驶员模型”（一种微观交通模型）的模拟，我们解释了最近发现的从免费的“同步”交通到走走停停模式的转变[B]。S. Kerner，Phys. Rev. Lett. 81，3797（1998）]。我们获得了近定量协议的实证研究结果，如“夹点效应”，流量密度图，停止和去波的出现，从非均匀拥挤的交通，和他们的波长的尺寸。
