# Thermodynamic and stochastic theory of nonequilibrium systems: A Lagrangian approach to fluctuations and relation to excess work

## Related Articles

- Thermodynamic and stochastic theory of nonequilibrium systems: Fluctuation probabilities and excess work. Peng, Bo; Hunt, Katharine L. C.; Hunt, Paul M.; Suárez, Alberto; Ross, John // Journal of Chemical Physics;3/15/1995, Vol. 102 Issue 11, p4548
For a nonequilibrium system described at the mesoscopic level by the master equation, we prove that the probability of fluctuations about a steady state is governed by a thermodynamic function, the â€˜â€˜excess work.â€™â€™ The theory applies to systems with one or more...

- Nonequilibrium work relations: foundations and applications. Jarzynskia, C. // European Physical Journal B -- Condensed Matter;Jul2008, Vol. 64 Issue 3/4, p331
When a macroscopic system in contact with a heat reservoir is driven away from equilibrium, the second law of thermodynamics places a strict bound on the amount of work performed on the system. With a microscopic system the situation is more subtle, as thermal fluctuations give rise to a...

- Lagrangian modeling of scalar statistics in a double scalar mixing layer. Sawford, Brian L. // Physics of Fluids;Aug2006, Vol. 18 Issue 8, p085108
Statistics of scalar concentration in a double scalar mixing layer are calculated using a Lagrangian stochastic model coupled to the interaction by exchange with the conditional mean micromixing model. Excellent agreement is obtained with recent direct numerical simulation results. The model...

- On the Physical Origin of Long-Ranged Fluctuations in Fluids in Thermal Nonequilibrium States. Ortiz de Zárate, José M.; Sengers, Jan V. // Journal of Statistical Physics;Jun2004, Vol. 115 Issue 5/6, p1341
Thermodynamic fluctuations in systems that are in nonequilibrium steady states are always spatially long ranged, in contrast to fluctuations in thermodynamic equilibrium. In the present paper we consider a fluid subjected to a stationary temperature gradient. Two different physical mechanisms...

- Exact results for the 1D asymmetric exclusion process and KPZ fluctuations. Sasamoto, T. // European Physical Journal B -- Condensed Matter;Jul2008, Vol. 64 Issue 3/4, p373
We discuss several properties of the current of the one-dimensional asymmetric simple exclusion process (ASEP) through exact solutions. First we explain the stationary measure for the finite system with boundaries and its average current. Then we study the fluctuation properties of the current...

- Temporal asymmetry of fluctuations in nonequilibrium steady states. Paneni, Carlo; Searles, Debra J.; Rondoni, Lamberto // Journal of Chemical Physics;3/21/2006, Vol. 124 Issue 11, p114109
Temporal asymmetries of fluctuation paths in nonequilibrium microscopic shearing systems are observed for the first time. Inspired by theories that predict asymmetry of fluctuation paths in stochastic dynamics, we focus on deterministic reversible particle models, which represent a small part of...

- Fluctuation theorem and chaos. Gallavottia, G. // European Physical Journal B -- Condensed Matter;Jul2008, Vol. 64 Issue 3/4, p315
The heat theorem (i.e. the second law of thermodynamics or the existence of entropy) is a manifestation of a general property of hamiltonian mechanics and of the ergodic hypothesis. In nonequilibrium thermodynamics of stationary states the chaotic hypothesis plays a similar role: it allows a...

- Unfying approach for fluctuation theorems from joint probability distributions. García-García, Reinaldo; Domínguez, D.; Lecomte, Vivien; Kolton, A. B. // AIP Conference Proceedings;3/24/2011, Vol. 1332 Issue 1, p277
Any decomposition of the total trajectory entropy production for markovian systems have a joint probability distribution satisfying a generalized detailed fluctuation theorem, without relying in dual probability distributions, when all the contributing terms are odd with respect to time...

- An Information Theory Approach to Nonlinear, Nonequilibrium Thermodynamics. Rogers, David; Beck, Thomas; Rempe, Susan // Journal of Statistical Physics;Oct2011, Vol. 145 Issue 2, p385
Using the problem of ion channel thermodynamics as an example, we illustrate the idea of building up complex thermodynamic models by successively adding physical information. We present a new formulation of information algebra that generalizes methods of both information theory and statistical...