Thermodynamic of computing. Fisica dell Energia  a.a. 2015/2016


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1 Thermodynamic of computing Fisica dell Energia  a.a. 2015/2016
2 Landauer principle Minimum amount of energy required greater than zero Let assume the operation of bit reset # of initial states: 2 # of final states: 1
3 Landauer principle S = k B log W Q apple T S Initial condition: two possible states Final condition: one possible state Heat produced S i = k B log 2 S f = k B log 1 S = S f S i = k B log 2 Q apple T S = k B T log 2
4 Landauer principle experimental verification The physics of information: from Maxwell s demon to Landauer  Eric Lutz  University of ErlangenNürnberg
5 Landauer principle experimental verification Even if you're not burning books, destroying information generates heat.  Sergio Cicliberto
6 Landauer principle experimental verification The physics of information: from Maxwell s demon to Landauer  Eric Lutz  University of ErlangenNürnberg
7 Landauer principle experimental verification The physics of information: from Maxwell s demon to Landauer  Eric Lutz  University of ErlangenNürnberg
8 Landauer principle experimental verification The physics of information: from Maxwell s demon to Landauer  Eric Lutz  University of ErlangenNürnberg
9 Landauer principle experimental verification Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014). HighPrecision Test of Landauer s Principle in a Feedback Trap. Physical Review Letters, 113(19),
10 Landauer principle experimental verification Feedback Trap Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014). HighPrecision Test of Landauer s Principle in a Feedback Trap. Physical Review Letters, 113(19),
11 Landauer principle experimental verification Erasure protocol Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014). HighPrecision Test of Landauer s Principle in a Feedback Trap. Physical Review Letters, 113(19),
12 Landauer principle experimental verification Work series for individual cycles Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014). HighPrecision Test of Landauer s Principle in a Feedback Trap. Physical Review Letters, 113(19),
13 Timedependent study of bit reset
14 Reset on colloidal particles Chiuchiú, D. "Timedependent study of bit reset." EPL (Europhysics Letters) (2015):
15 Timedependent study For a fixed τpr with Q(τpr) T S(τpr), study T S(t), Q(t), W (t), E(t). Chiuchiú, D. "Timedependent study of bit reset." EPL (Europhysics Letters) (2015):
16 Unconventional computing
17 Robust Soldier Crab Ball Gate YukioPegio Gunji, Yuta Nishiyama, Andrew Adamatzky
18 Robust Soldier Crab Ball Gate OR gate Robust Soldier Crab Ball Gate  YukioPegio Gunji, Yuta Nishiyama, Andrew Adamatzky
19 Robust Soldier Crab Ball Gate AND gate Robust Soldier Crab Ball Gate  YukioPegio Gunji, Yuta Nishiyama, Andrew Adamatzky
20 Robust Soldier Crab Ball Gate Robust Soldier Crab Ball Gate  YukioPegio Gunji, Yuta Nishiyama, Andrew Adamatzky
21 Robust Soldier Crab Ball Gate How much energy? Crabs usually eat algae. Crabs are omnivorous, meaning that they will eat both plants and other animals for sustenance. Energy Content of Algae: 5kcal for 3g Average weight of the crabs was 42g Suppose daily need is 50% of its weight: 21g of algae and thus 35kcal J of energy for daily operating a crab logic gate or 1.7W of power
22 NEMS Memory Device
23 NEMS Memory Devices Ionescu, Adrian M. "Nano Electro Mechanical (NEM) Memory Devices." Emerging Nanoelectronic Devices (2014):
24 NEMS Memory Devices Ionescu, Adrian M. "Nano Electro Mechanical (NEM) Memory Devices." Emerging Nanoelectronic Devices (2014):
25 NEMS Memory Devices Ionescu, Adrian M. "Nano Electro Mechanical (NEM) Memory Devices." Emerging Nanoelectronic Devices (2014):
26 NEMS Memory Devices
27 NEMS system
28 NEMS system Rebo Rebo
29 NEMS system armchair direction 6x1 nm atoms a = 2.42 Å Y = 0.85 TPa T = 10 K Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
30 Heat production evaluation Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
31 2DOF potential landscape Energy (J) A2 A A1 (Å) A2 (Å) 5 Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
32 Reset protocol Objective: move the system from an unknown state to known state ΔS = kb log(2) Qmin = kb T log(2) A1 A1 A2 Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015): A2
33 Reset protocol Quick and dirty: apply a positive force along Z on all atoms WRONG: it is not possible to control the velocity!
34 Reset protocol Quick and dirty: apply a positive force along Z on all atoms
35 Reset protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration f MaxUp f 0Up f MaxDw f 0Dw t 0 t 1 t 2 t 3 t 4 Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
36 t 0 t 1 t 2 t 3 t 4 Reset protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration f MaxUp f 0Up f MaxDw f 0Dw
37 Reset protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
38 Reset protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration 0.4 τ p =110 ns counts 0.2 Q/kBT Q/kBT QL=kBTln2 τp (ns) Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
39 Switch protocol Objective: move the system from a known state to another known state ΔS = 0 Qmin = 0 A1 A1 A2 Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015): A2
40 Switch protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration f MaxUp f 0Up f MaxDw f 0Dw t 0 t 1 t 2 t 3 t 4 t 5 t 6 Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
41 t t t t t t t Switch protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration f MaxUp f 0Up f MaxDw f 0Dw
42 Switch protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
43 Switch protocol Controlled way: apply a set of forces in to gently put the system in the desired configuration 0.4 τ p =210 ns counts 0.2 Q/kBT Q/kBT τp (ns) Neri, I., et al. "Reset and switch protocols at Landauer limit in a graphene buckled ribbon." EPL (Europhysics Letters) (2015):
44 t t t t t t t Switch protocol Wrong way: apply the switch protocol from the wrong initial state f MaxUp f 0Up f MaxDw f 0Dw
45 Switch protocol Wrong way: apply the switch protocol from the wrong initial state Qmin > 2QL
46 Mechanical logic gate
47 Mechanical logic gate AND gate
48 Mechanical logic gate LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
49 Mechanical logic gate Transfer function Thermomechanical noise limit
50 Mechanical logic gate x 2 = 1R 1 0 S(!) d! 2 k BT = 1 2 k x 2
51 Mechanical logic gate LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
52 Mechanical logic gate Ω0 Ω1 LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
53 Mechanical logic gate LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
54 Mechanical logic gate ΔU = W Q = 0 LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
55 Mechanical logic gate Structural damping > constant term Viscous + thermoelastic damping > t 1 Clamp recoil losses > t 3 LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
56 Mechanical logic gate LopezSuarez, M. et al.. "Sub kbt micro electromechanical irreversible logic gate." arxiv preprint arxiv: (2015).
57
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