Replica approach to directed Feynman paths with random phases

1991 ◽  
Vol 1 (5) ◽  
pp. 613-620 ◽  
Author(s):  
Thomas Blum ◽  
Yonathan Shapir ◽  
Daniel S. Koltun
Keyword(s):  
Feynman Paths ◽  
Replica Approach

scholarly journals Static replica approach to critical correlations in glassy systems

2013 ◽  
Vol 138 (12) ◽  
pp. 12A540 ◽  
Author(s):  
Silvio Franz ◽  
Hugo Jacquin ◽  
Giorgio Parisi ◽  
Pierfrancesco Urbani ◽  
Francesco Zamponi
Keyword(s):  
Glassy Systems ◽  
Replica Approach

Barriers and metastable states as saddle points in the replica approach

1993 ◽  
Vol 3 (8) ◽  
pp. 1819-1838 ◽  
Author(s):  
J. Kurchan ◽  
G. Parisi ◽  
M. A. Virasoro
Keyword(s):  
Saddle Points ◽  
Metastable States ◽  
Replica Approach

A realistic setting for Feynman paths

2002 ◽  
Vol 14 (7) ◽  
pp. 929-935 ◽  
Author(s):  
G.N. Ord ◽  
J.A. Gualtieri
Keyword(s):  
Feynman Paths

Thermodynamic non-additivity in disordered systems with extended phase space

Open Physics ◽  
2004 ◽  
Vol 2 (2) ◽  
Author(s):  
Eduard Vakarin ◽  
Jean Badiali
Keyword(s):  
Phase Space ◽  
Probability Distribution ◽  
Disordered Systems ◽  
Stochastic Systems ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Thermodynamic Entropy ◽  
Dynamic Stochastic ◽  
Replica Approach ◽  
Dynamic Subsystem

AbstractNon-additivity effects in coupled dynamic-stochastic systems are investigated. It is shown that there is a mapping of the replica approach to disordered systems with finite replica indexn on Tsallis non-extensive statistics, if the average thermodynamic entropy of the dynamic subsystem differs from the information entropy for the probability distribution in the stochastic subsystem. The entropic indexq is determined by the entropy difference ΔS. In the case of incomplete information, the entropic indexq=1−n is shown to be related to the degree of lost information.

scholarly journals Replica approach in random matrix theory

2018 ◽  
Author(s):  
Thomas Guhr
Keyword(s):  
Partition Function ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Matrix Theory ◽  
Field Theories ◽  
Partition Functions ◽  
Gaussian Unitary Ensemble ◽  
Integrable Theory ◽  
Unitary Ensemble ◽  
Replica Approach

This article examines the replica method in random matrix theory (RMT), with particular emphasis on recently discovered integrability of zero-dimensional replica field theories. It first provides an overview of both fermionic and bosonic versions of the replica limit, along with its trickery, before discussing early heuristic treatments of zero-dimensional replica field theories, with the goal of advocating an exact approach to replicas. The latter is presented in two elaborations: by viewing the β = 2 replica partition function as the Toda lattice and by embedding the replica partition function into a more general theory of τ functions. The density of eigenvalues in the Gaussian Unitary Ensemble (GUE) and the saddle point approach to replica field theories are also considered. The article concludes by describing an integrable theory of replicas that offers an alternative way of treating replica partition functions.

scholarly journals A replica approach to the state-dependent synapses neural network

1999 ◽  
Vol 32 (18) ◽  
pp. 3201-3207
Author(s):  
D Bollé ◽  
G M Shim ◽  
B Van Mol
Keyword(s):  
Neural Network ◽  
The State ◽  
State Dependent ◽  
Replica Approach
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