Helbing D, Farkas IJ, Vicsek T
II. Institute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, 70550 Stuttgart, Germany and Department of Biological Physics, Eotvos University, Budapest, Pazmany Peter Setany 1A, H-1117 Hungary.
Phys Rev Lett. 2000 Feb 7;84(6):1240-3. doi: 10.1103/PhysRevLett.84.1240.
We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this model-which can be considered as a continuum version of some driven diffusive systems-exhibits a paradoxical, new kind of transition called here "freezing by heating." One interesting feature of this transition is that a crystallized state with a higher total energy is obtained from a fluid state by increasing the amount of fluctuations.
我们研究了一个简单模型,该模型对应于沿相反方向驱动并通过排斥势相互作用的粒子。粒子在周期性条带上非晶格移动,并且还受到随机力的作用。我们表明,这个模型——可以被视为某些驱动扩散系统的连续版本——展现出一种矛盾的新型转变,在此称为“热致冻结”。这种转变的一个有趣特征是,通过增加涨落量,从流体状态获得了具有更高总能量的结晶状态。