Ontology of temperature in nonequilibrium systems.

@article{Popov2007OntologyOT,
  title={Ontology of temperature in nonequilibrium systems.},
  author={Alexander V. Popov and Rigoberto Hernandez},
  journal={The Journal of chemical physics},
  year={2007},
  volume={126 24},
  pages={
          244506
        }
}
The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy and the uniform temperature. When a system or its environment is far from equilibrium, however, such an association does not necessarily apply. In small systems, the regression hypothesis may not even apply. Herein, it is shown that in small nonequilibrium… 
View on PubMed
arxiv.org
27 Citations
Background Citations
1

Figures and Tables from this paper

27 Citations

Citation Type

Citation Type

Mesoscopic Thermodynamics in the Presence of Flow
Thermodynamics is a powerful theory that has been succesfully applied to describe the properties and behavior of macroscopic systems under a very wide range of physical conditions (Callen, 1985).…
0 Mesoscopic Thermodynamics in the Presence of Flow
Thermodynamics is a powerful theory that has been succesfully applied to describe the properties and behavior of macroscopic systems under a very wide range of physical conditions (Callen, 1985).…
Mean-field "temperature" in far from equilibrium systems.
TLDR
This work proves the existence of a generalized fluctuation-dissipation relation, which can be used to describe a nonequilibrium system as is if it were in thermal equilibrium with a thermal bath at the mean-field "temperature" mentioned above.
Generalization of the Wall theorem to out-of-equilibrium conditions.
TLDR
An extension of the Wall theorem to out-of-equilibrium conditions, providing an exact relation between pressure, density, and temperature at the wall, valid for strong nonequilibrium situations is developed.
Why and how do systems react in thermally fluctuating environments?
TLDR
This article overviews the generalized Langevin equation (GLE), which has long been used and continues to be a powerful tool to describe a system surrounded by a thermal environment, and presents a method recently developed to extract a new reaction coordinate that is decoupled from all the other coordinates in the region of a rank-one saddle linking the reactant and the product.
A semiclassical approach to explore the bistable kinetics of a Brownian particle in a nonequilibrium environment
We explore the noise-induced barrier crossing dynamics of a Brownian particle in the high temperature quantum regime under large damping. We assume the associated heat bath not to be in thermal…
Derivation of the generalized Langevin equation in nonstationary environments.
TLDR
The generalized Langevin equation (GLE) is extended to the case of nonstationary bath and the friction kernel is found to depend on both the past and the current times, in contrast to the stationary case where it only depends on their difference.
Kramers turnover in class of thermodynamically open systems: Effect of interplay of nonlinearity and noises
Towards an understanding of escape rate and state dependent diffusion for a quantum dissipative system
Time dependent current in a nonstationary environment: A microscopic approach
Based on a microscopic system reservoir model, where the associated bath is not in thermal equilibrium, we simulate the nonstationary Langevin dynamics and obtain the generalized nonstationary…
...
1
2
3
...

References

SHOWING 1-10 OF 59 REFERENCES
Stochastic Dynamics in Irreversible Nonequilibrium Environments. 1. The Fluctuation−Dissipation Relation
A generalization of the generalized Langevin equation (stochastic dynamics) is introduced in order to model chemical reactions which take place in changing environments. The friction kernel…
Stochastic Dynamics in Irreversible Nonequilibrium Environments. 3. Temperature-Ramped Chemical Kinetics
A generalization of the generalized Langevin equation (stochastic dynamics) is introduced in order to model chemical reactions which take place in environments with both density and temperature…
An idealized model for nonequilibrium dynamics in molecular systems.
TLDR
Simulations of this mechanical system further confirm that the time dependence of the observed total energy and the correlations of the solvent force are in precise agreement with the projected iGLE, making this extended nonstationary Hamiltonian amenable to the study of nonequilibrium bounds and fluctuation theorems.
Local quasi-equilibrium description of slow relaxation systems.
TLDR
It is shown that the fluctuation-dissipation theorem can be formulated in terms of the temperature of the system at local quasi-equilibrium which is related to that of the bath by means of a scaling factor revealing lack of thermal equilibrium.
Effective temperatures in simple non-mean-field systems
We give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in…
A fluctuation theorem for non-equilibrium relaxational systems driven by external forces
We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending earlier results of…
The generalized Kramers theory for nonequilibrium open one-dimensional systems
The Kramers theory of activated processes is generalized for nonequilibrium open one-dimensional systems. We consider both the internal noise due to thermal bath and the external noise which are…
Hamiltonian Derivation of a Detailed Fluctuation Theorem
We analyze the microscopic evolution of a system undergoing a far-from-equilibrium thermodynamic process. Explicitly accounting for the degrees of freedom of participating heat reservoirs, we derive…
Observable dependence of fluctuation-dissipation relations and effective temperatures.
TLDR
The nonequilibrium fluctuation-dissipation theorem (FDT) is studied in the glass phase of Bouchaud's trap model and its shape depends nontrivially on the observable, and its slope varies continuously even though there is a single scaling of relaxation times with age.
Macroscopic equation of motion in inhomogeneous media: A microscopic treatment
The dynamical evolution of a Brownian particle in an inhomogeneous medium with spatially varying friction and temperature field is important to understand conceptually. It requires to address the…
...
1
2
3
4
5
...