Directed polymer melts and quantum critical phenomena
نویسندگان
چکیده
منابع مشابه
Directed Polymer Melts and Quantum Critical Phenomena
The statistical mechanics of directed line-like objects, such as directed polymers in an external field, strands of dipoles in both ferroand electrorheological fluids, and flux lines in high-TC superconductors bears a close resemblance to the quantum mechanics of bosons in 2 + 1 dimensions. We show that single component and binary mixture critical phenomena in these systems are in the universal...
متن کاملTopological Constraints in Directed Polymer Melts.
Polymers in a melt may be subject to topological constraints, as in the example of unlinked polymer rings. How to do statistical mechanics in the presence of such constraints remains a fundamental open problem. We study the effect of topological constraints on a melt of directed polymers, using simulations of a simple quasi-2D model. We find that fixing the global topology of the melt to be tri...
متن کاملCritical properties of crosslinked polymer melts
2014 The critical behavior at the percolation threshold for a randomly crosslinked polymer melt of linear chains is studied by computer simulations. We show that the fraction of crosslinks per chain pc at the vulcanization/percolation threshold is independent of chain length N for large N. Thus for long chains, the volume fraction of crosslinks at the transition decreases as 1/N in agreement wi...
متن کاملEntanglement in quantum critical phenomena.
Entanglement, one of the most intriguing features of quantum theory and a main resource in quantum information science, is expected to play a crucial role also in the study of quantum phase transitions, where it is responsible for the appearance of long-range correlations. We investigate, through a microscopic calculation, the scaling properties of entanglement in spin chain systems, both near ...
متن کاملQuantum Gravity, Random Geometry and Critical Phenomena
We discuss the theory of non-critical strings with extrinsic curvature embedded in a target spac d greater than one. We emphasize the analogy between 2d gravity coupled to matter and non liquid-like membranes with bending rigidity. We rst outline the exact solution for strings in dime via the double scaling limit of matrix models and then discuss the diiculties of an extension to d > from recen...
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: Journal of Statistical Physics
سال: 1993
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf01048086