Brownian Directed Polymers in Random Environment
- Topics:
- Chemical
- Tags:
- Austin,
- Environment,
- Fluctuation,
- Polymer,
- University Of Texas
- Source:
- University of Texas at Austin
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Overview: This paper studies the thermodynamics of a continuous model of directed polymers in random environment. The environment is given by a space-time Poisson point process, whereas the polymer is defined in terms of the Brownian motion. It mainly discuss: (i) The normalized partition function, its positivity in the limit which characterizes the phase diagram of the model. (ii) The existence of quenched Lyapunov exponent, its positivity, and its agreement with the annealed Lyapunov exponent; (iii) The longitudinal fluctuation of the free energy, some of its relations with the overlap between replicas and with the transversal fluctuation of the path.
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Format: PDF | Size: 269KB | Pages: 31
