The physical Meaning of Replica Symmetry Breaking
نویسنده
چکیده
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.
منابع مشابه
Ordering and Broken Symmetry in Short-Ranged Spin Glasses
In this topical review we discuss the nature of the low-temperature phase in both infiniteranged and short-ranged spin glasses. We analyze the meaning of pure states in spin glasses, and distinguish between physical, or “observable”, states and (probably) unphysical, “invisible” states. We review replica symmetry breaking, and describe what it would mean in shortranged spin glasses. We introduc...
متن کاملEmergent Physics at the Vulcanization Transition
The Essay starts with an overview of the percolation approach and classical elasticity theory of the vulcanization transition of rubber, describing their assumptions and their limitations. Thereafter we discuss a third approach, the Vulcanization Theory (VT) which incorporates the effects of thermal fluctuations and quenched random disorder. The VT is an order parameter theory in the true Landa...
متن کاملReplica symmetry breaking in mean field spin glasses trough Hamilton-Jacobi technique
During the last years, through the combined effort of the insight, coming from physical intuition and computer simulation, and the exploitation of rigorous mathematical methods, the main features of the mean field Sherrington-Kirkpatrick spin glass model have been firmly established. In particular, it has been possible to prove the existence and uniqueness of the infinite volume limit for the f...
متن کامل2 9 A ug 2 00 1 The State ( s ) of Replica Symmetry Breaking : Mean Field Theories vs . Short - Ranged Spin Glasses ∗
We prove the impossibility of recent attempts to decouple the Replica Symmetry Breaking (RSB) picture for finite-dimensional spin glasses from the existence of many thermodynamic (i.e., infinite-volume) pure states while preserving another signature RSB feature — space filling relative domain walls between different finite-volume states. Thus revisions of the notion of pure states cannot shield...
متن کاملReplica Symmetry Breaking in Trajectories of a Driven Brownian Particle.
We study a Brownian particle passively driven by a field obeying the noisy Burgers' equation. We demonstrate that the system exhibits replica symmetry breaking in the path ensemble with the initial position of the particle being fixed. The key step of the proof is that the path ensemble with a modified boundary condition can be exactly mapped onto the canonical ensemble of directed polymers.
متن کامل