Dependence of dissipation on the initial distribution over states
We analyze how the amount of work dissipated by a fixed nonequilibrium process depends on the initial distribution over states. Specifically, we compare the amount of dissipation when the process is used with some specified initial distribution to the minimal amount of dissipation possible for any i...
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Published in | Journal of statistical mechanics Vol. 2017; no. 8; pp. 83202 - 83221 |
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Main Authors | , |
Format | Journal Article |
Language | English |
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IOP Publishing and SISSA
16.08.2017
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Abstract | We analyze how the amount of work dissipated by a fixed nonequilibrium process depends on the initial distribution over states. Specifically, we compare the amount of dissipation when the process is used with some specified initial distribution to the minimal amount of dissipation possible for any initial distribution. We show that the difference between those two amounts of dissipation is given by a simple information-theoretic function that depends only on the initial and final state distributions. Crucially, this difference is independent of the details of the process relating those distributions. We then consider how dissipation depends on the initial distribution for a 'computer', i.e. a nonequilibrium process whose dynamics over coarse-grained macrostates implement some desired input-output map. We show that our results still apply when stated in terms of distributions over the computer's coarse-grained macrostates. This can be viewed as a novel thermodynamic cost of computation, reflecting changes in the distribution over inputs rather than the logical dynamics of the computation. |
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AbstractList | We analyze how the amount of work dissipated by a fixed nonequilibrium process depends on the initial distribution over states. Specifically, we compare the amount of dissipation when the process is used with some specified initial distribution to the minimal amount of dissipation possible for any initial distribution. We show that the difference between those two amounts of dissipation is given by a simple information-theoretic function that depends only on the initial and final state distributions. Crucially, this difference is independent of the details of the process relating those distributions. We then consider how dissipation depends on the initial distribution for a 'computer', i.e. a nonequilibrium process whose dynamics over coarse-grained macrostates implement some desired input-output map. We show that our results still apply when stated in terms of distributions over the computer's coarse-grained macrostates. This can be viewed as a novel thermodynamic cost of computation, reflecting changes in the distribution over inputs rather than the logical dynamics of the computation. |
Author | Wolpert, David H Kolchinsky, Artemy |
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CitedBy_id | crossref_primary_10_1103_PhysRevE_104_034129 crossref_primary_10_1103_PhysRevX_14_021026 crossref_primary_10_1103_PhysRevResearch_6_013021 crossref_primary_10_1109_TCSI_2023_3331833 crossref_primary_10_1088_1367_2630_ac4309 crossref_primary_10_1088_1367_2630_ad1070 crossref_primary_10_1007_s10955_021_02733_1 crossref_primary_10_3390_life9010009 crossref_primary_10_1103_PhysRevA_104_012214 crossref_primary_10_1038_s41467_019_09542_x crossref_primary_10_1103_PhysRevE_104_054107 crossref_primary_10_1088_1367_2630_ab2484 crossref_primary_10_1063_5_0012052 crossref_primary_10_1103_PhysRevE_97_012120 crossref_primary_10_7566_JPSJ_92_124004 crossref_primary_10_1103_PhysRevE_108_034101 crossref_primary_10_1103_PhysRevE_103_042145 crossref_primary_10_1103_PhysRevE_107_054132 crossref_primary_10_1103_PhysRevResearch_2_033312 crossref_primary_10_1088_1367_2630_ab82b8 crossref_primary_10_1088_1751_8121_ab0850 crossref_primary_10_3390_e25071078 crossref_primary_10_1088_1367_2630_aaf81d crossref_primary_10_1103_PhysRevResearch_2_033524 |
Cites_doi | 10.1103/PhysRevE.60.R5017 10.1103/PhysRevLett.98.080602 10.1017/CBO9780511921889 10.6028/jres.070b.014 10.1103/PhysRevLett.95.040602 10.1038/nphys2958 10.1098/rspa.2012.0173 10.1038/srep05394 10.1103/PhysRevLett.98.108301 10.1214/aop/1176995937 10.1103/PhysRevLett.102.250602 10.1007/s10955-012-0478-x 10.1088/1367-2630/11/7/073008 10.1103/PhysRevX.3.041003 10.1038/nature10872 10.1038/341119a0 10.1103/PhysRevE.82.011143 10.1088/1742-5468/2014/03/P03025 10.5541/ijot.457 10.1515/9781400865222 10.1016/j.physleta.2009.12.042 10.1103/PhysRevLett.107.140404 10.1016/j.physleta.2010.11.002 10.1103/PhysRevE.60.2721 10.1016/j.physa.2003.09.007 10.1103/PhysRevA.40.4731 10.1103/PhysRevE.73.046105 10.1147/rd.53.0183 10.1038/nphys2940 10.1007/BF02084158 10.1103/PhysRevLett.108.190602 10.1103/PhysRevLett.78.2690 10.3390/e18040138 10.1088/1742-5468/2006/08/P08001 10.3390/e15020524 10.1073/pnas.1204263109 10.1023/A:1023208217925 10.1103/PhysRevLett.104.198903 10.1142/S1230161216500062 10.1088/0034-4885/75/12/126001 10.1038/nphys3230 10.1103/PhysRevLett.109.120604 10.1209/0295-5075/82/50002 10.1103/PhysRevLett.109.180602 10.1209/0295-5075/95/40004 10.1016/0024-3795(93)90331-H 10.1103/PhysRevE.79.031105 10.1103/PhysRevE.94.062112 |
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References | 44 46 47 48 49 Chernyak V Y (35) 2006; 2006 51 52 53 10 11 12 13 14 15 16 17 18 19 Seifert U (25) 2012; 75 Esposito M (9) 2011; 95 Deffner S (22) 2012 1 2 3 4 5 Parrondo J M (37) 2009; 11 6 7 Mackay D (27) 2003 8 20 21 23 24 28 29 Sagawa T (45) 2014; 2014 Bennett C H (50) 2003; 34 30 31 32 33 34 Cover T M (26) 2012 38 39 Wolpert D H (41) 2016 40 Gomez-Marin A (36) 2008; 82 42 43 |
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