Contest based on a directed polymer in a random medium
نویسندگان
چکیده
منابع مشابه
Directed polymer in a random medium - an introduction
I Directed polymers A Why bother? II Hamiltonian and Randomness A Pure case B Let’s put randomness 1 Hamiltonian 2 Partition function 3 Averages C What to look for? D Size: disorder and thermal correlation 1 Free energy fluctuation 2 Our Aim 3 Digression: Self-averaging III Q.: Is disorder relevant? A Annealed average: low temperature problem B Moments of Z 1 Hamiltonian for moments 2 Bound sta...
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Probability distribution of the free energy of a directed polymer in a random medium.
We calculate exactly the first cumulants of the free energy of a directed polymer in a random medium for the geometry of a cylinder. By using the fact that the nth moment of the partition function is given by the ground-state energy of a quantum problem of n interacting particles on a ring of length L, we write an integral equation allowing to expand these moments in powers of the streng...
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We examine numerically the zero-temperature (2+1)-dimensional directed polymer in a random medium, along with several of its brethren via the Kardar-Parisi-Zhang (KPZ) equation. Using finite-size and KPZ scaling Ansätze, we extract the universal distributions controlling fluctuation phenomena in this canonical model of nonequilibrium statistical mechanics. Specifically, we study point-point, po...
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...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2008
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.78.061106