%0 Book Section %1 statphys23_0961 %A Jelić, A. %A H$U$tter, M. %A $O$ttinger, H.C. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K coarse-graining dissipative electromagnetism fluctuation-dissipation statphys23 theorem topic-3 %T Dissipative electromagnetism beyond Ohmic effects: Conclusions from a generalized fluctuation-dissipation theorem %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=961 %X We study the interrelation between microscopic fluctuations and dissipative effects in electromagnetism on the slow macroscopic scales. The main conclusion is that there are dissipative effects of rather different origin than the Ohmic effects Jelić, H$u$tter and $O$ttinger, Phys. Rev. E 74, 041126 (2006). In order to arrive at this conclusion, the following idea serves as a starting point. The usual procedure for deriving the equations for macroscopic electromagnetism consists of distinguishing between bound and unbound charges. This separation, in turn, leads to a separation of the electric current into contributions related to freely mobile charges, polarization, and magnetization. All of these three quantities fluctuate around their averages. In the spirit of a generalized fluctuation-dissipation theorem, one concludes that with each of these fluctuations, there are also three corresponding dissipative effects on the slow macroscopic scale. While the time-self-correlation of the current of free charges gives rise to the Ohmic resistance, the time-self-correlations of the other two current contributions lead to distinct irreversible contributions in the macroscopic electromagnetic equations. This heuristic argument is formalized by using the General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) framework, which is equipped with a generalized fluctuation-dissipation relation, describing the emergence of dissipative effects upon coarse-graining. The dissipative effects distinct from the Ohmic contribution have also been introduced by Liu and coworkers Phys. Rev. Lett. 70, 3580 (1993) and later papers by identifying the driving forces towards equilibrium and then employing the positivity of the entropy production rate. Such a procedure for formulating constitutive assumptions comes with certain parameters, the transport coefficients, for which only certain positivity conditions are known. While we reproduce the structure of all of Liu’s terms, we can further illuminate the physics behind the new transport coefficients in terms of microscopic fluctuations, and the self-correlations between them. In this way, our procedure indicates how microscopic simulations can be employed to extract those new transport coefficients, thereby rendering the constitutive relations material specific.

@incollection{statphys23_0961, abstract = {We study the interrelation between microscopic fluctuations and dissipative effects in electromagnetism on the slow macroscopic scales. The main conclusion is that there are dissipative effects of rather different origin than the Ohmic effects [Jeli{\'c}, H$\ddot{\rm u}$tter and $\ddot{\rm O}$ttinger, Phys. Rev. E 74, 041126 (2006)]. In order to arrive at this conclusion, the following idea serves as a starting point. The usual procedure for deriving the equations for macroscopic electromagnetism consists of distinguishing between bound and unbound charges. This separation, in turn, leads to a separation of the electric current into contributions related to freely mobile charges, polarization, and magnetization. All of these three quantities fluctuate around their averages. In the spirit of a generalized fluctuation-dissipation theorem, one concludes that with each of these fluctuations, there are also three corresponding dissipative effects on the slow macroscopic scale. While the time-self-correlation of the current of free charges gives rise to the Ohmic resistance, the time-self-correlations of the other two current contributions lead to distinct irreversible contributions in the macroscopic electromagnetic equations. This heuristic argument is formalized by using the General Equation for the Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) framework, which is equipped with a generalized fluctuation-dissipation relation, describing the emergence of dissipative effects upon coarse-graining. The dissipative effects distinct from the Ohmic contribution have also been introduced by Liu and coworkers [Phys. Rev. Lett. 70, 3580 (1993) and later papers] by identifying the driving forces towards equilibrium and then employing the positivity of the entropy production rate. Such a procedure for formulating constitutive assumptions comes with certain parameters, the transport coefficients, for which only certain positivity conditions are known. While we reproduce the structure of all of Liu’s terms, we can further illuminate the physics behind the new transport coefficients in terms of microscopic fluctuations, and the self-correlations between them. In this way, our procedure indicates how microscopic simulations can be employed to extract those new transport coefficients, thereby rendering the constitutive relations material specific.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Jeli\'c, A. and H$\ddot{\rm U}$tter, M. and $\ddot{\rm O}$ttinger, H.C.}, biburl = {https://www.bibsonomy.org/bibtex/29cc633a96358bed37838fd4893bfc106/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {a81f301da044ba8062b8b32a6184980f}, intrahash = {9cc633a96358bed37838fd4893bfc106}, keywords = {coarse-graining dissipative electromagnetism fluctuation-dissipation statphys23 theorem topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:35.000+0200}, title = {Dissipative electromagnetism beyond Ohmic effects: Conclusions from a generalized fluctuation-dissipation theorem}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=961}, year = 2007 }