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@article{Vaccaro_Barnett_2011,   title = {{Information erasure without an energy cost}},   volume = {467},   url = {http://dx.doi.org/10.1098/rspa.2010.0577},   doi = {10.1098/rspa.2010.0577},   number = {2130},   journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},   publisher = {The Royal Society},   author = {Vaccaro, J. A. and Barnett, S. M.},   year = {2011},   month = {Apr},   pages = {1770-1778},   }     @ARTICLE{2013arXiv1308.5001D,   author = {{Deffner}, S. and {Jarzynski}, C.},   title = {{Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1308.5001},   primaryclass = {cond-mat.stat-mech},   keywords = {Condensed Matter - Statistical Mechanics},   year = {2013},   month = {aug},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1308.5001D},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Schaller_Brandes_Esposito_2013,   title = {{Thermodynamics of a Physical Model Implementing a Maxwell Demon}},   volume = {110},   url = {http://dx.doi.org/10.1103/PhysRevLett.110.040601},   doi = {10.1103/PhysRevLett.110.040601},   number = {4},   journal = {Physical Review Letters},   publisher = {American Physical Society},   author = {Strasberg, Philipp and Schaller, Gernot and Brandes, Tobias and Esposito, Massimiliano},   year = {2013},   month = {Jan},   }     @article{Mandal_Jarzynski_2012,   title = {{Work and information processing in a solvable model of Maxwells demon}},   volume = {109},   url = {http://dx.doi.org/10.1073/pnas.1204263109},   doi = {10.1073/pnas.1204263109},   number = {29},   journal = {Proceedings of the National Academy of Sciences},   publisher = {Proceedings of the National Academy of Sciences},   author = {Mandal, D. and Jarzynski, C.},   year = {2012},   month = {Jul},   pages = {11641-11645},   }     @ARTICLE{2013arXiv1307.2208M,   author = {{Mandal}, D. and {Quan}, H.~T. and {Jarzynski}, C.},   title = {{Maxwell's Refrigerator: An Exactly Solvable Model}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1307.2208},   primaryclass = {cond-mat.stat-mech},   keywords = {Condensed Matter - Statistical Mechanics, Physics - History and Philosophy of Physics},   year = {2013},   month = {jul},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1307.2208M},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @ARTICLE{2013arXiv1306.5737I,   author = {{Ihnatovych}, V.},   title = {{Study of the possibility of eliminating the Gibbs paradox within the framework of classical thermodynamics}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1306.5737},   keywords = {Physics - History and Philosophy of Physics},   year = {2013},   month = {jun},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1306.5737I},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @ARTICLE{2013arXiv1306.4638P,   author = {{Peters}, H.},   title = {{Demonstration and resolution of the Gibbs paradox of the first kind}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1306.4638},   primaryclass = {cond-mat.stat-mech},   keywords = {Condensed Matter - Statistical Mechanics},   year = {2013},   month = {jun},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1306.4638P},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @ARTICLE{2013arXiv1305.0742I,   author = {{Ihnatovych}, V.},   title = {{The logical foundations of Gibbs' paradox in classical thermodynamics}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1305.0742},   keywords = {Physics - History and Philosophy of Physics},   year = {2013},   month = {may},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1305.0742I},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @ARTICLE{2013arXiv1302.2573P,   author = {{Padyala}, R.},   title = {{A note on Gibbs paradox}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1302.2573},   primaryclass = {physics.gen-ph},   keywords = {Physics - General Physics, J.2},   year = {2013},   month = {feb},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1302.2573P},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Dong_Cai_Sun_2012,   title = {{A quantum solution to Gibbs paradox with few particles}},   volume = {55},   url = {http://dx.doi.org/10.1007/s11433-012-4873-8},   doi = {10.1007/s11433-012-4873-8},   number = {10},   journal = {Science China Physics, Mechanics and Astronomy},   publisher = {Springer-Verlag},   author = {Dong, Hui and Cai, ChengYun and Sun, ChangPu},   year = {2012},   month = {Oct},   pages = {1727-1733},   }     @article{Corti_2012,   title = {{Comment on “The Gibbs paradox and the distinguishability of identical particles,” by M. A. M. Versteegh and D. Dieks [Am. J. Phys. 79, 741–746 (2011)]}},   volume = {80},   url = {http://dx.doi.org/10.1119/1.3657773},   doi = {10.1119/1.3657773},   number = {2},   journal = {American Journal of Physics},   publisher = {American Association of Physics Teachers},   author = {Corti, David S.},   year = {2012},   pages = {170},   }     @ARTICLE{2012arXiv1201.0069L,   author = {{Lee}, C.-L. and {Chen}, Y.-R.},   title = {{Gibbs paradox and a possible mechanism of like-charge attraction in colloids}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1201.0069},   primaryclass = {cond-mat.soft},   keywords = {Condensed Matter - Soft Condensed Matter, Condensed Matter - Statistical Mechanics},   year = {2012},   month = {dec},   adsurl = {http://adsabs.harvard.edu/abs/2012arXiv1201.0069L},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Versteegh_Dieks_2011,   title = {{The Gibbs paradox and the distinguishability of identical particles}},   volume = {79},   url = {http://dx.doi.org/10.1119/1.3584179},   doi = {10.1119/1.3584179},   number = {7},   journal = {American Journal of Physics},   publisher = {American Association of Physics Teachers},   author = {Versteegh, Marijn A. M. and Dieks, Dennis},   year = {2011},   pages = {741},   }     @ARTICLE{2011arXiv1105.4118G,   author = {{Ge}, H. and {Qian}, H.},   title = {{Maximum Entropy Principle, Equal Probability a Priori and Gibbs Paradox}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1105.4118},   primaryclass = {cond-mat.stat-mech},   keywords = {Condensed Matter - Statistical Mechanics},   year = {2011},   month = {may},   adsurl = {http://adsabs.harvard.edu/abs/2011arXiv1105.4118G},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Maslov_2011,   title = {{Mixture of new ideal gases and the solution of the Gibbs and Einstein paradoxes}},   volume = {18},   url = {http://dx.doi.org/10.1134/S1061920811010092},   doi = {10.1134/S1061920811010092},   number = {1},   journal = {Russian Journal of Mathematical Physics},   publisher = {Pleiades Publishing},   author = {Maslov, V. P.},   year = {2011},   month = {Mar},   pages = {83-101},   }     @article{Peters_2010,   title = {{Statistics of Distinguishable Particles and Resolution of the Gibbs Paradox of the First Kind}},   volume = {141},   url = {http://dx.doi.org/10.1007/s10955-010-0077-7},   doi = {10.1007/s10955-010-0077-7},   number = {5},   journal = {Journal of Statistical Physics},   publisher = {Springer-Verlag},   author = {Peters, Hjalmar},   year = {2010},   month = {Dec},   pages = {785-828},   }     @article{Maslov_2010,   title = {{Solution of the gibbs paradox using the notion of entropy as a function of the fractal dimension}},   volume = {17},   url = {http://dx.doi.org/10.1134/S1061920810030040},   doi = {10.1134/S1061920810030040},   number = {3},   journal = {Russian Journal of Mathematical Physics},   publisher = {Pleiades Publishing},   author = {Maslov, V. P.},   year = {2010},   month = {Sep},   pages = {288-306},   }     @article{Kontoyiannis_Bienenstock_2008,   title = {{Estimating the Entropy of Binary Time Series: Methodology, Some Theory and a Simulation Study}},   volume = {10},   url = {http://dx.doi.org/10.3390/entropy-e10020071},   doi = {10.3390/entropy-e10020071},   number = {2},   journal = {Entropy},   publisher = {MDPI AG},   author = {Gao, Yun and Kontoyiannis, Ioannis and Bienenstock, Elie},   year = {2008},   month = {Jun},   pages = {71-99},   }     @ARTICLE{2010arXiv1004.4732O,   author = {{Ostrowski}, M.},   title = {{Minimum energy required to copy one bit of information}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1004.4732},   primaryclass = {cs.IT},   keywords = {Computer Science - Information Theory},   year = {2010},   month = {apr},   adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1004.4732O},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Jaynes_1965,   title = {{Gibbs vs Boltzmann Entropies}},   volume = {33},   url = {http://dx.doi.org/10.1119/1.1971557},   doi = {10.1119/1.1971557},   number = {5},   journal = {American Journal of Physics},   publisher = {American Association of Physics Teachers},   author = {Jaynes, E. T.},   year = {1965},   pages = {391},   }     @article{Jaynes_1980,   title = {{The Minimum Entropy Production Principle}},   volume = {31},   url = {http://dx.doi.org/10.1146/annurev.pc.31.100180.003051},   doi = {10.1146/annurev.pc.31.100180.003051},   number = {1},   journal = {Annual Review of Physical Chemistry},   publisher = {Annual Reviews},   author = {Jaynes, E T},   year = {1980},   month = {Oct},   pages = {579-601},   }     @BOOK{1992mebm.book.....S,   author = {{Smith}, C.~R. and {Erickson}, G.~J. and {Neudorfer}, P.~O.},   title = {{Maximum entropy and Bayesian methods : proceedings of the Eleventh International Workshop on Maximum Entropy and Bayesian Methods of Statistical Analysis, Seattle, 1991}},   keywords = {Maximum entropy method, Bayesian statistical decision theory},   booktitle = {Maximum entropy and Bayesian methods : proceedings of the Eleventh International Workshop on Maximum Entropy and Bayesian Methods of Statistical Analysis, Seattle, 1991 , by Smith, C.~Ray;Erickson, Gary J.; Neudorfer, Paul O.~ Dordrecht ; Boston : Kluwer Academic, c1992.~Fundamental theories of physics ; v.~50},   year = {1992},   adsurl = {http://adsabs.harvard.edu/abs/1992mebm.book.....S},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Bennett_2003,   title = {{Notes on Landauers principle, reversible computation, and Maxwells Demon}},   volume = {34},   url = {http://dx.doi.org/10.1016/S1355-2198(03)00039-X},   doi = {10.1016/S1355-2198(03)00039-X},   number = {3},   journal = {Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics},   publisher = {Elsevier},   author = {Bennett, Charles H.},   year = {2003},   month = {Sep},   pages = {501-510},   }     @article{Averin_Mottonen_Pekola_2011,   title = {{Maxwells demon based on a single-electron pump}},   volume = {84},   url = {http://dx.doi.org/10.1103/PhysRevB.84.245448},   doi = {10.1103/PhysRevB.84.245448},   number = {24},   journal = {Physical Review B},   publisher = {American Physical Society},   author = {Averin, Dmitri V. and Möttönen, Mikko and Pekola, Jukka P.},   year = {2011},   month = {Dec},   }     @ARTICLE{2013arXiv1306.2742B,   author = {{Bergli}, J. and {Galperin}, Y.~M. and {Kopnin}, N.~B.},   title = {{Information flow and optimal protocol for Maxwell's demon single electron pump}},   journal = {ArXiv e-prints},   archiveprefix = {arXiv},   eprint = {1306.2742},   primaryclass = {cond-mat.stat-mech},   keywords = {Condensed Matter - Statistical Mechanics, Condensed Matter - Mesoscale and Nanoscale Physics},   year = {2013},   month = {jun},   adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1306.2742B},   adsnote = {Provided by the SAO/NASA Astrophysics Data System},   }     @article{Hosoya_Maruyama_Shikano_2011,   title = {{Maxwells demon and data compression}},   volume = {84},   url = {http://dx.doi.org/10.1103/PhysRevE.84.061117},   doi = {10.1103/PhysRevE.84.061117},   number = {6},   journal = {Physical Review E},   publisher = {American Physical Society},   author = {Hosoya, Akio and Maruyama, Koji and Shikano, Yutaka},   year = {2011},   month = {Dec},   }     @article{erto_Dillenschneider_Lutz_2012,   title = {{Experimental verification of Landauer’s principle linking information and thermodynamics}},   volume = {483},   url = {http://dx.doi.org/10.1038/nature10872},   doi = {10.1038/nature10872},   number = {7388},   journal = {Nature},   publisher = {Nature Publishing Group},   author = {Bérut, Antoine and Arakelyan, Artak and Petrosyan, Artyom and Ciliberto, Sergio and Dillenschneider, Raoul and Lutz, Eric},   year = {2012},   month = {Mar},   pages = {187-189},   }     @article{Shizume_1995,   title = {{Heat generation required by information erasure}},   volume = {52},   url = {http://dx.doi.org/10.1103/PhysRevE.52.3495},   doi = {10.1103/PhysRevE.52.3495},   number = {4},   journal = {Physical Review E},   publisher = {American Physical Society},   author = {Shizume, Kousuke},   year = {1995},   month = {Oct},   pages = {3495-3499},   }     @article{Piechocinska_2000,   title = {{Information erasure}},   volume = {61},   url = {http://dx.doi.org/10.1103/PhysRevA.61.062314},   doi = {10.1103/PhysRevA.61.062314},   number = {6},   journal = {Physical Review A},   publisher = {American Physical Society},   author = {Piechocinska, Barbara},   year = {2000},   month = {May},   }