Localization of polymers in a finite medium with fixed random obstacles
نویسندگان
چکیده
منابع مشابه
S ep 2 00 1 Localization of polymers in a finite medium with fixed random obstacles
In this paper we investigate the conformation statistics of a Gaussian chain embedded in a medium of finite size, in the presence of quenched random obstacles. The similarities and differences between the case of random obstacles and the case of a Gaussian random potential are elucidated. The connection with the density of states of electrons in a metal with random repulsive impurities of finit...
متن کاملPolymers with self-avoiding interaction in random medium: a localization-delocalization transition
In this paper we investigate the problem of a long self-avoiding polymer chain immersed in a random medium. We find that in the limit of a very long chain and when the self-avoiding interaction is weak, the conformation of the chain consists of many “blobs” with connecting segments. The blobs are sections of the molecule curled up in regions of low potential in the case of a Gaussian distribute...
متن کاملLocalization Transition for Polymers in Poissonian Medium
We study a model of directed polymers in random environment in dimension 1 + d, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogeneities, respectively the intensity parameter ν of the Poisson field and the temperature inverse β. Our results are: (i) fine information on the phase diagram, with quantitative estimates on the criti...
متن کاملDynamics of unbinding of polymers in a random medium
We have studied the aging effect on the dynamics of unbinding of a double stranded directed polymer in a random medium. By using the Monte Carlo dynamics of a lattice model in two dimensions, for which disorder is known to be relevant, the unbinding dynamics is studied by allowing the bound polymer to relax in the random medium for a waiting time and then allowing the two strands to unbind. The...
متن کاملDirected polymers in a random medium: a variational approach
A disorder-dependent Gaussian variational approach is applied to the problem of a d dimensional polymer chain in a random medium (or potential). Two classes of variational solutions are obtained. For d < 2, these two classes may be interpreted as domain and domain wall. The critical exponent ν describing the polymer width is ν = 1 (4−d) (domain solution) or ν = 3 (d+4) (domain wall solution). T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2002
ISSN: 1434-6028
DOI: 10.1140/epjb/e20020040