Thermodynamics of information

Leff, H. S. & Rex, A. F. (eds) in Maxwell’s Demon: Entropy, Information, Computing (Princeton Univ. Press, 1990).

Maruyama, K., Nori, F. & Vedral, V. Colloquium: The physics of Maxwell’s demon and information. Rev. Mod. Phys. 81, 1–23 (2009).

Callen, H. B. Thermodynamics and an Introduction to Thermostatistics 2nd edn (John Wiley, 1985).

Szilárd, L. in Maxwell’s Demon: Entropy, Information, Computing (eds Leff, H. S. & Rex, A. F.) (Princeton Univ. Press, 1990).

Smoluchowski, M. v. Experimentell nachweisbare, der Üblichen Thermodynamik widersprechende Molekularphenomene. Phys. Zeitshur. 13, 1069–1089 (1912).

Feynman, R. P., Leighton, R. B. & Sands, M. The Feynman Lectures on Physics Vol. I, Ch. 46 (Addison-Wesley, 1966).

Penrose, O. Foundations of Statistical Mechanics: A Deductive Treatment (Pergmon Press, 1970).

Bennett, C. The thermodynamics of computation—a review. Int. J. Theor. Phys. 21, 905–940 (1982).

Harris, R. J. & Schütz, G. M. Fluctuation theorems for stochastic dynamics. J. Stat. Mech. 2007, P07020 (2007).

Jarzynski, C. Equalities and inequalities: Irreversibility and the second law of thermodynamics at the nanoscale. Ann. Rev. Condens. Matter Phys. 2, 329–351 (2011).

Sekimoto, K. Stochastic Energetics 799 (Lect. Notes Phys., Springer, 2010).

Seifert, U. Stochastic thermodynamics, fluctuation theorems, and molecular machines. Rep. Prog. Phys. 75, 126001 (2012).

Toyabe, S., Sagawa, T., Ueda, M., Muneyuki, E. & Sano, M. Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality. Nature Phys. 6, 988–992 (2010).

Koski, J., Maisi, V., Sagawa, T. & Pekola, J. P. Experimental observation of the role of mutual information in the nonequilibrium dynamics of a Maxwell demon. Phys. Rev. Lett. 113, 030601 (2014).

Berut, A. et al. Experimental verification of Landauer’s principle linking information and thermodynamics. Nature 483, 187–189 (2011).

Roldán, E., Martínez, I. A., Parrondo, J. M. R. & Petrov, D. Universal features in the energetics of symmetry breaking. Nature Phys. 10, 457–461 (2014).

Plenio, M. B. & Vitelli, V. The physics of forgetting: Landauer’s erasure principle and information theory. Contemp. Phys. 42, 25–60 (2001).

Sagawa, T. Thermodynamics of Information Processing in Small Systems (Springer Theses, Springer, 2012).

Sagawa, T. & Ueda, M. Information Thermodynamics: Maxwell’s Demon in Nonequilibrium Dynamics 181–211 (Wiley-VCH, 2013).

Parrondo, J. M. R. The Szilárd engine revisited: Entropy, macroscopic randomness, and symmetry breaking phase transitions. Chaos 11, 725–733 (2001).

Cover, T. M. & Thomas, J. A. Elements of Information Theory 2nd edn (Wiley-Interscience, 2006).

Gaveau, B. & Schulman, L. A general framework for non-equilibrium phenomena: The master equation and its formal consequences. Phys. Lett. A 229, 347–353 (1997).

Esposito, M. & Van den Broeck, C. Second law and Landauer principle far from equilibrium. Europhys. Lett. 95, 40004 (2011).

Still, S., Sivak, D. A., Bell, A. J. & Crooks, G. E. Thermodynamics of prediction. Phys. Rev. Lett. 109, 120604 (2012).

Horowitz, J. M., Sagawa, T. & Parrondo, J. M. R. Imitating chemical motors with optimal information motors. Phys. Rev. Lett. 111, 010602 (2013).

Deffner, S. & Lutz, E. Information free energy for nonequilibrium states. Preprint at http://arxiv.org/abs/1201.3888 (2012).

Hasegawa, H-H., Ishikawa, J., Takara, K. & Driebe, D. J. Generalization of the second law for a nonequilibrium initial state. Phys. Lett. A 374, 1001–1004 (2010).

Takara, K., Hasegawa, H-H. & Driebe, D. J. Generalization of the second law for a transition between nonequilibrium states. Phys. Lett. A 375, 88–92 (2010).

Lloyd, S. Use of mutual information to decrease entropy: Implications for the second law of thermodynamics. Phys. Rev. A 39, 5378–5386 (1989).

Sagawa, T. & Ueda, M. Second law of thermodynamics with discrete quantum feedback control. Phys. Rev. Lett. 100, 080403 (2008).

Ponmurugan, M. Generalized detailed fluctuation theorem under nonequilibrium feedback control. Phys. Rev. E 82, 031129 (2010).

Horowitz, J. M. & Vaikuntanathan, S. Nonequilibrium detailed fluctuation theorem for discrete feedback. Phys. Rev. E 82, 061120 (2010).

Sagawa, T. & Ueda, M. Generalized Jarzynski equality under nonequilibrium feedback control. Phys. Rev. Lett. 104, 090602 (2010).

Fujitani, Y. & Suzuki, H. Jarzynski equality modified in the linear feedback system. J. Phys. Soc. Jpn 79, 104003 (2010).

Horowitz, J. M. & Parrondo, J. M. R. Designing optimal discrete-feedback thermodynamic engines. New J. Phys. 13, 123019 (2011).

Horowitz, J. M. & Parrondo, J. M. R. Optimizing non-ergodic feedback engines. Acta Phys. Pol. B 44, 803–814 (2013).

Abreu, D. & Seifert, U. Extracting work from a single heat bath through feedback. Europhys. Lett. 94, 10001 (2011).

Bauer, M., Abreu, D. & Seifert, U. Efficiency of a Brownian information machine. J. Phys. A 45, 162001 (2012).

Landauer, R. Information is physical. Phys. Today 44 (5), 23–29 (1991).

Landauer, R. Maxwell’s Demon: Entropy, Information, Computing (Princeton Univ. Press, 1990).

Berut, A., Petrosyan, A. & Ciliberto, S. Detailed Jarzynski equality applied to a logically irreversible procedure. Europhys. Lett. 103, 60002 (2013).

Jun, Y., Gavrilov, M. & Bechhoefer, J. High-precision test of Landauer’s principle in a feedback trap. Phys. Rev. Lett. 113, 190601 (2014).

Sagawa, T. & Ueda, M. Minimal energy cost for thermodynamic information processing: Measurement and information erasure. Phys. Rev. Lett. 102, 250602 (2009).

Sagawa, T. Thermodynamic and logical reversibilities revisited. J. Stat. Mech. 2014, P03025 (2014).

Diana, G., Bagci, G. B. & Esposito, M. Finite-time erasing of information stored in fermionic bits. Phys. Rev. E 87, 012111 (2013).

Zulkowski, P. R. & DeWeese, M. R. Optimal finite-time erasure of a classical bit. Phys. Rev. E 89, 052140 (2014).

Dillenschneider, R. & Lutz, E. Memory erasure in small systems. Phys. Rev. Lett. 102, 210601 (2009).

Mandal, D. & Jarzynski, C. Work and information processing in a solvable model of Maxwell’s demon. Proc. Natl Acad. Sci. USA 109, 11641–11645 (2012).

Mandal, D., Quan, H. T. & Jarzynski, C. Maxwell’s refrigerator: An exactly solvable model. Phys. Rev. Lett. 111, 030602 (2013).

Hoppenau, J. & Engel, A. On the energetics of information exchange. Europhys. Lett. 105, 50002 (2014).

Barato, A. C. & Seifert, U. An autonomous and reversible Maxwell’s demon. Europhys. Lett. 101, 60001 (2013).

Barato, A. C. & Seifert, U. Unifying three perspectives on information processing in stochastic thermodynamics. Phys. Rev. Lett. 112, 090601 (2014).

Deffner, S. & Jarzynski, C. Information processing and the second law of thermodynamics: An inclusive, Hamiltonian approach. Phys. Rev. X 3, 041003 (2013).

Deffner, S. Information-driven current in a quantum Maxwell demon. Phys. Rev. E 88, 062128 (2013).

Barato, A. & Seifert, U. Stochastic thermodynamics with information reservoirs. Phys. Rev. E 90, 042150 (2014).

Granger, L. & Kantz, H. Thermodynamics of measurements. Phys. Rev. E 84, 061110 (2011).

Sagawa, T. & Ueda, M. Role of mutual information in entropy production under information exchanges. New J. Phys. 15, 125012 (2013).

Horowitz, J. M. & Esposito, M. Thermodynamics with continuous information flow. Phys. Rev. X 4, 031015 (2014).

Allahverdyan, A. E., Janzing, D. & Mahler, G. Thermodynamic efficiency of information and heat flow. J. Stat. Mech. 2009, P09011 (2009).

Hartich, D., Barato, A. C. & Seifert, U. Stochastic thermodynamics of bipartite systems: Transfer entropy inequalities and a maxwell’s demon interpretation. J. Stat. Mech. 2014, P02016 (2014).

Shiraishi, N. & Sagawa, T. Fluctuation theorem for partially-masked nonequilibrium dynamics. Phys. Rev. E 91, 012130 (2015).

Barato, A., Hartich, D. & Seifert, U. Efficiency of cellular information processing. New J. Phys. 16, 103024 (2014).

Cao, F. J. & Feito, M. Thermodynamics of feedback controlled systems. Phys. Rev. E 79, 041118 (2009).

Sagawa, T. & Ueda, M. Nonequilibrium thermodynamics of feedback control. Phys. Rev. E 85, 021104 (2012).

Ito, S. & Sagawa, T. Information thermodynamics on causal networks. Phys. Rev. Lett. 111, 180603 (2013).

Barato, A. C., Hartich, D. & Seifert, U. Rate of mutual information between coarse-grained non-Markovian variables. J. Stat. Phys. 153, 460–478 (2013).

Sandberg, H., Delvenne, J-C., Newton, N. J. & Mitter, S. K. Maximum work extraction and implementation costs for nonequilibrium Maxwell’s demons. Phys. Rev. E 90, 042119 (2014).

Sagawa, T. & Ueda, M. Fluctuation theorem with information exchange: Role of correlations in stochastic thermodynamics. Phys. Rev. Lett. 109, 180602 (2012).

Tasaki, H. Unified Jarzynski and Sagawa–Ueda relations for Maxwell’s demon. Preprint at http://arxiv.org/abs/1308.3776 (2013).

Horowitz, J. M. & Sandberg, H. Second-law-like inequalities with information and their interpretations. New J. Phys. 16, 125007 (2014).

Abreu, D. & Seifert, U. Thermodynamics of genuine nonequilibrium states under feedback control. Phys. Rev. Lett. 108, 030601 (2012).

Zurek, W. in Maxwell’s Demon: Entropy, Information, Computing (eds Leff, H. S. & Rex, A. F.) (Princeton Univ. Press, 1990).

Kim, S. W., Sagawa, T., De Liberato, S. & Ueda, M. Quantum Szilárd engine. Phys. Rev. Lett. 106, 070401 (2011).

Jacobs, K. The second law of thermodynamics and quantum feedback control: Maxwell’s demon with weak measurements. Phys. Rev. A 80, 012322 (2009).

Morkuni, Y. & Tasaki, H. Quantum Jarzynski–Sagawa–Ueda relations. J. Stat. Phys. 143, 1–10 (2011).

Funo, K., Watanabe, Y. & Ueda, M. Integral quantum fluctuation theorems under measurement and feedback control. Phys. Rev. E 88, 052121 (2013).

Albash, T., Lidar, D. A., Marvian, M. & Zanardi, P. Fluctuation theorems for quantum processes. Phys. Rev. E 88, 032146 (2013).

Zurek, W. Qauntum discord and Maxwell’s demons. Phys. Rev. A 67, 012320 (2003).

Funo, K., Watanabe, Y. & Ueda, M. Thermodynamic work gain from entanglement. Phys. Rev. A 88, 052319 (2013).

Park, J. J., Kim, K. H., Sagawa, T. & Kim, S. W. Heat engine driven by purely quantum information. Phys. Rev. Lett. 111, 230402 (2013).

Reimann, P. Brownian motors: Noisy transport far from equilibrium. Phys. Rep. 361, 57–265 (2002).

Serreli, V., Lee, C-F., Kay, E. R. & Leigh, D. A. A molecular information ratchet. Nature 445, 523–527 (2007).

Esposito, M. & Schaller, G. Stochastic thermodynamics for “Maxwell demon” feedbacks. Europhys. Lett. 99, 30003 (2012).

Andrieux, D. & Gaspard, P. Nonequilibrium generation of information in copolymerization processes. Proc. Natl Acad. Sci. USA 105, 9516–9521 (2008).

Jarzynski, C. The thermodynamics of writing a random polymer. Proc. Natl Acad. Sci. USA 105, 9451–9452 (2008).

Bennett, C. H. Dissipation-error tradeoff in proofreading. Biosystems 11, 85–91 (1979).

Hopfield, J. J. Kinetic proofreading: A new mechanism for reducing errors in biosynthetic processes requiring high specificity. Proc. Natl Acad. Sci. USA 71, 4135–4139 (1974).

Murugan, A., Huse, D. A. & Leibler, S. Discriminatory proofreading regimes in nonequilibrium systems. Phys. Rev. X 4, 021016 (2014).

Sartori, P. & Pigolotti, S. Kinetic versus Energetic Discrimination in Biological Copying. Phys. Rev. Lett. 110, 188101 (2013).

Depken, M., Parrondo, J. M. R. & Grill, S. W. Intermittent transcription dynamics for the rapid production of long transcripts of high fidelity. Cell Rep. 5, 521–530 (2013).

Sartori, P., Granger, L., Lee, C. F. & Horowitz, J. M. Thermodynamic costs of information processing in sensory adaptation. PLOS Comp. Biol. 10, e1003974 (2014).

Ito, S. & Sagawa, T. Maxwell’s demon in biochemical signal transduction. Preprint at http://arxiv.org/abs/1406.5810 (2014).

Mlodinow, L. & Brun, T. A. Relation between the psychological and thermodynamic arrows of time. Phys. Rev. E 89, 052102 (2014).