Quantum theory of irreversibility Export

@article{citeulike:6080040, abstract = {A generalization of the Gibbs–von Neumann entropy is proposed based on the quantum BBGKY (Bogolyubov–Born–Green–Kirkwood–Yvon) hierarchy as the non-equilibrium entropy for an N -body system. By using a generalization of the Liouville–von Neumann equation describing the evolution of a density superoperator, the entropy production for an isolated system is calculated, being non-zero in general. The existence of a non-zero entropy production allows us, following the procedure of non-equilibrium thermodynamics to introduce a master matrix for which a microscopic expression is obtained. After this, as a test of our theory the quantum Boltzmann equation is derived in terms of a transition superoperator related to this master matrix.}, author = {Perezmadrid, A.}, citeulike-article-id = {6080040}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.physa.2006.12.025}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0378437106013744}, day = {15}, doi = {10.1016/j.physa.2006.12.025}, issn = {03784371}, journal = {Physica A: Statistical Mechanics and its Applications}, keywords = {thermodynamics}, month = {May}, number = {2}, pages = {299--306}, posted-at = {2009-11-06 07:01:22}, priority = {2}, title = {Quantum theory of irreversibility}, url = {http://dx.doi.org/10.1016/j.physa.2006.12.025}, volume = {378}, year = {2007} }

TY - JOUR ID - citeulike:6080040 L3 - citeulike-article-id:6080040 N2 - A generalization of the Gibbs–von Neumann entropy is proposed based on the quantum BBGKY (Bogolyubov–Born–Green–Kirkwood–Yvon) hierarchy as the non-equilibrium entropy for an N -body system. By using a generalization of the Liouville–von Neumann equation describing the evolution of a density superoperator, the entropy production for an isolated system is calculated, being non-zero in general. The existence of a non-zero entropy production allows us, following the procedure of non-equilibrium thermodynamics to introduce a master matrix for which a microscopic expression is obtained. After this, as a test of our theory the quantum Boltzmann equation is derived in terms of a transition superoperator related to this master matrix. IS - 2 JF - Physica A: Statistical Mechanics and its Applications SN - 03784371 EP - 306 TI - Quantum theory of irreversibility VL - 378 SP - 299 KW - thermodynamics AU - Perezmadrid, A PY - 2007/05/15/ UR - http://dx.doi.org/10.1016/j.physa.2006.12.025 ER -