TY - JOUR
T1 - Fluctuation-dissipation theorems in the GENERIC formalism
T2 - The viscoelastic fluids
AU - Vázquez, F.
AU - Olivares-Robles, M. A.
AU - Delgado, S.
N1 - Funding Information:
We acknowledge Prof. M. López de Haro for suggesting the considered problem in this paper and for fruitful discussions about it. We thank Prof. H.C. Öttinger for interesting and enlightening comments on the topic of this work. FV and MA O-R acknowledge the financial support of CONACYT Project 40454 and PROMEP.
PY - 2005/8/15
Y1 - 2005/8/15
N2 - Fluctuation-dissipation relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two "potentials" (total energy and entropy) and two "matrices" which determine the dynamics. The FDR exhibits specific features arising from the type of entropy used in the formalism but the understanding of fluctuations in a given non-equilibrium system is reduced to determining a single friction matrix. We show that consistent results with fundamental laws of irreversible thermodynamics for Maxwell fluid are obtained if it is used the corresponding entropy in LIT. If structural properties of the fluid are used as thermodynamic variables, giving rise to extended irreversible thermodynamics, the resulting FDR also shows the desired properties. We discuss these results under the scope of the relation among levels of description and statistical properties of fluctuating thermodynamic fields.
AB - Fluctuation-dissipation relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two "potentials" (total energy and entropy) and two "matrices" which determine the dynamics. The FDR exhibits specific features arising from the type of entropy used in the formalism but the understanding of fluctuations in a given non-equilibrium system is reduced to determining a single friction matrix. We show that consistent results with fundamental laws of irreversible thermodynamics for Maxwell fluid are obtained if it is used the corresponding entropy in LIT. If structural properties of the fluid are used as thermodynamic variables, giving rise to extended irreversible thermodynamics, the resulting FDR also shows the desired properties. We discuss these results under the scope of the relation among levels of description and statistical properties of fluctuating thermodynamic fields.
KW - Fluctuation-dissipation theorem
KW - Irreversible thermodynamics
UR - http://www.scopus.com/inward/record.url?scp=19944393879&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2005.02.048
DO - 10.1016/j.physa.2005.02.048
M3 - Artículo
SN - 0378-4371
VL - 354
SP - 19
EP - 33
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -