Replica symmetry breaking related to a general ultrametric space I: Replica matrices and functionals
نویسندگان
چکیده
منابع مشابه
Ultrametric Broken Replica Symmetry RaMOSt
We propose an ultrametric breaking of replica symmetry for diluted spin glasses in the framework of RandomMulti-Overlap Structures (RaMOSt). Such proposal is closer to the Parisi theory for non-diluted spin glasses than the current theory based on the iterative approach. Our approach permits to formulate an ansatz according to which the Broken Replica Symmetry trial function depends on a set of...
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Glass-forming liquids exhibit a dramatic dynamical slowdown as the temperature is lowered. This can be attributed to relaxation proceeding via large structural rearrangements whose characteristic size increases as the system cools. These cooperative rearrangements are well modeled by instantons in a replica effective field theory, with the size of the dominant instanton encoding the liquid's ca...
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The analysis of objects living on ultrametric trees, in particular the block-diagonalization of 4?replica matrices M ; , is shown to be dramatically simpliied through the introduction of properly chosen operations on those objects. These are the Replica Fourier Transforms on ultrametric trees. Those transformations are deened and used in the present work.
متن کاملReplica symmetry breaking in the minority game
We extend and complete recent work concerning the analytic solution of the minority game. Nash equilibria (NE) of the game have been found to be related to the ground states of a disordered hamiltonian with replica symmetry breaking (RSB), signalling the presence of a large number of them. Here we study the number of NE both analytically and numerically. We then analyze the stability of the rec...
متن کاملThe physical Meaning of Replica Symmetry Breaking
In this talk I will presente the physical meaning of replica symmetry breaking stressing the physical concepts. After introducing the theoretical framework and the experimental evidence for replica symmetry breaking, I will describe some of the basic ideas using a probabilistic language. The predictions for off-equilibrium dynamics will be shortly outlined.
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2006
ISSN: 0378-4371
DOI: 10.1016/j.physa.2005.05.077