scholarly journals On the fluctuation theorem for the dissipation function and its connection with response theory

2008 ◽  
Vol 128 (1) ◽  
pp. 014504 ◽  
Author(s):  
Denis J. Evans ◽  
Debra J. Searles ◽  
Stephen R. Williams
Keyword(s):  
Dissipation Function ◽  
Fluctuation Theorem ◽  
Response Theory

scholarly journals Dissipation Function: Nonequilibrium Physics and Dynamical Systems

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 835
Author(s):  
Salvatore Caruso ◽  
Claudio Giberti ◽  
Lamberto Rondoni
Keyword(s):  
Dynamical Systems ◽  
Particle System ◽  
Dissipation Function ◽  
Physical Models ◽  
Nonequilibrium Molecular Dynamics ◽  
Entropy Production Rate ◽  
Response Theory ◽  
Formal Approach ◽  
Physical Content ◽  
Thermodynamic Potentials

An exact response theory has recently been developed within the field of Nonequilibrium Molecular Dynamics. Its main ingredient is known as the Dissipation Function, Ω. This quantity determines nonequilbrium properties like thermodynamic potentials do with equilibrium states. In particular, Ω can be used to determine the exact response of particle systems obeying classical mechanical laws, subjected to perturbations of arbitrary size. Under certain conditions, it can also be used to express the response of a single system, in contrast to the standard response theory, which concerns ensembles of identical systems. The dimensions of Ω are those of a rate, hence Ω can be associated with the entropy production rate, provided local thermodynamic equilibrium holds. When this is not the case for a particle system, or generic dynamical systems are considered, Ω can equally be defined, and it yields formal, thermodynamic-like, relations. While such relations may have no physical content, they may still constitute interesting characterizations of the relevant dynamics. Moreover, such a formal approach turns physically relevant, because it allows a deeper analysis of Ω and of response theory than possible in case of fully fledged physical models. Here, we investigate the relation between linear and exact response, pointing out conditions for the validity of the response theory, as well as difficulties and opportunities for the physical interpretation of certain formal results.

How Do Psychologists Learn Item Response Theory?

2001 ◽  
Vol 46 (6) ◽  
pp. 629-632
Author(s):  
Robert J. Mislevy
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Response Theory
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