A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension
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Publication:2924904
DOI10.1063/1.4895760zbMath1302.82135arXiv1406.4614OpenAlexW3098317295MaRDI QIDQ2924904
Publication date: 20 October 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.4614
Statistical mechanics of polymers (82D60) Processes in random environments (60K37) Statistical thermodynamics (82B30)
Related Items (5)
The intermediate disorder regime for a directed polymer model on a hierarchical lattice ⋮ Free energy of directed polymers in random environment in \(1+1\)-dimension at high temperature ⋮ PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT ⋮ Localization of directed polymers with general reference walk ⋮ High temperature behaviors of the directed polymer on a cylinder
Cites Work
- Localization transition for polymers in Poissonian medium
- Influence of spatial correlation for directed polymers
- New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
- Disorder relevance at marginality and critical point shift
- Sharp asymptotics for the free energy of \(1+1\) dimensional directed polymers in an infinitely divisible environment
- Directed polymers in random environment are diffusive at weak disorder
- Directed polymers in a random environment: Path localization and strong disorder
- A condition for weak disorder for directed polymers in random environment
- A note on the diffusion of directed polymers in a random environment
- On the partition function of a directed polymer in a Gaussian random environment
- Diffusion of directed polymers in a random environment.
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Brownian directed polymers in random environment
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