On the energetics of information exchange

We consider the thermodynamic properties of systems in contact with an information source and focus on the consequences of energetic cost associated with the exchange of information. To this end we introduce the model of a thermal tape and derive a general bound for the efficiency of work extraction for systems in contact with such a tape. Depending on the perspective, the correlations between system and tape may either increase or reduce the efficiency of the device. We illustrate our general results with two exactly solvable models, one being an autonomous system, the other one involving measurement and feedback. We also define an ideal tape limit in which our findings reduce to known results.

[1]  A. C. Barato,et al.  Unifying three perspectives on information processing in stochastic thermodynamics. , 2013, Physical review letters.

[2]  Masahito Ueda,et al.  Generalized Jarzynski equality under nonequilibrium feedback control. , 2009, Physical review letters.

[3]  Jordan M Horowitz,et al.  Imitating chemical motors with optimal information motors. , 2012, Physical review letters.

[4]  Udo Seifert,et al.  An autonomous and reversible Maxwell's demon , 2013, 1302.3089.

[5]  H. Kantz,et al.  Differential Landauer's principle , 2013, 1302.6478.

[6]  Massimiliano Esposito,et al.  Entropy production as correlation between system and reservoir , 2009, 0908.1125.

[7]  Gernot Schaller,et al.  Stochastic thermodynamics for “Maxwell demon” feedbacks , 2012, 1204.5671.

[8]  Masahito Ueda,et al.  Nonequilibrium thermodynamics of feedback control. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Modeling Maxwell's demon with a microcanonical Szilard engine. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  U. Seifert,et al.  Extracting work from a single heat bath through feedback , 2011, 1102.3826.

[11]  U. Seifert Stochastic thermodynamics, fluctuation theorems and molecular machines , 2012, Reports on progress in physics. Physical Society.

[12]  Masahito Ueda,et al.  Fluctuation theorem with information exchange: role of correlations in stochastic thermodynamics. , 2012, Physical review letters.

[13]  Christopher Jarzynski,et al.  Maxwell's refrigerator: an exactly solvable model. , 2013, Physical review letters.

[14]  Udo Seifert,et al.  Thermodynamics of genuine nonequilibrium states under feedback control. , 2011, Physical review letters.

[15]  Holger Kantz,et al.  Thermodynamic cost of measurements. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  M. Esposito Stochastic thermodynamics under coarse graining. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  D. Andrieux,et al.  Molecular information processing in nonequilibrium copolymerizations. , 2009, The Journal of chemical physics.

[18]  G. Morriss,et al.  A review of the hydrodynamic Lyapunov modes of hard disk systems , 2013 .

[19]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[20]  M. Feito,et al.  Thermodynamics of feedback controlled systems. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Udo Seifert,et al.  Efficiency of a Brownian information machine , 2012, 1203.0184.

[22]  Jordan M. Horowitz,et al.  Thermodynamic reversibility in feedback processes , 2011, 1104.0332.

[23]  M. Esposito,et al.  Three faces of the second law. I. Master equation formulation. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.