LEADER 00817cam0 22002653 450 001 SON0007050 005 20210312080644.0 100 $a20031113d1967 |||||ita|0103 ba 101 $aita 102 $aIT 200 1 $aDeposito celeste$fCarlo Villa 210 $aTorino$cEinaudi$d1967 215 $a190p.$d20cm 225 2 $acoralli$v242 410 1$1001LAEC00015798$12001 $aI *coralli$v242 700 1$aVilla$b, Carlo$3AF00007077$4070$025030 801 0$aIT$bUNISOB$c20210312$gRICA 850 $aUNISOB 852 $aUNISOB$j853|Coll|1|K$m15046 912 $aSON0007050 940 $aM 102 Monografia moderna SBN 941 $aM 957 $a853|Coll|1|K$b000072$gSI$d15046$rACQUISTO$1Spinosa$2UNISOB$3UNISOB$420200303120650.0$520200303120706.0$6Spinosa 996 $aDeposito celeste$998813 997 $aUNISOB LEADER 05410nam 2200661Ia 450 001 9910146148703321 005 20220805215210.0 010 $a1-282-13814-6 010 $a9786612138140 010 $a0-470-74162-7 010 $a0-470-74163-5 035 $a(CKB)1000000000719669 035 $a(EBL)427910 035 $a(OCoLC)437111475 035 $a(SSID)ssj0000353955 035 $a(PQKBManifestationID)11264847 035 $a(PQKBTitleCode)TC0000353955 035 $a(PQKBWorkID)10302419 035 $a(PQKB)11499727 035 $a(MiAaPQ)EBC427910 035 $a(PPN)160580943 035 $a(EXLCZ)991000000000719669 100 $a20081020d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aChemistry in motion$b[electronic resource] $ereaction-diffusion systems for micro- and nanotechnology /$fBartosz A. Grzybowski 210 $aHoboken, NJ $cWiley$d2009 215 $a1 online resource (304 p.) 300 $aDescription based upon print version of record. 311 $a0-470-03043-7 320 $aIncludes bibliographical references and index. 327 $aChemistry in Motion: Reaction-Diffusion Systems for Micro- and Nanotechnology; Contents; Preface; List of Boxed Examples; 1 Panta Rei: Everything Flows; 1.1 HISTORICAL PERSPECTIVE; 1.2 WHAT LIES AHEAD?; 1.3 HOW NATURE USES RD; 1.3.1 Animate Systems; 1.3.2 Inanimate Systems; 1.4 RD IN SCIENCE AND TECHNOLOGY; REFERENCES; 2 Basic Ingredients: Diffusion; 2.1 DIFFUSION EQUATION; 2.2 SOLVING DIFFUSION EQUATIONS; 2.2.1 Separation of Variables; 2.2.2 Laplace Transforms; 2.3 THE USE OF SYMMETRY AND SUPERPOSITION; 2.4 CYLINDRICAL AND SPHERICAL COORDINATES; 2.5 ADVANCED TOPICS; REFERENCES 327 $a3 Chemical Reactions3.1 REACTIONS AND RATES; 3.2 CHEMICAL EQUILIBRIUM; 3.3 IONIC REACTIONS AND SOLUBILITY PRODUCTS; 3.4 AUTOCATALYSIS, COOPERATIVITY AND FEEDBACK; 3.5 OSCILLATING REACTIONS; 3.6 REACTIONS IN GELS; REFERENCES; 4 Putting It All Together: Reaction-Diffusion Equations and the Methods of Solving Them; 4.1 GENERAL FORM OF REACTION-DIFFUSION EQUATIONS; 4.2 RD EQUATIONS THAT CAN BE SOLVED ANALYTICALLY; 4.3 SPATIAL DISCRETIZATION; 4.3.1 Finite Difference Methods; 4.3.2 Finite Element Methods; 4.4 TEMPORAL DISCRETIZATION AND INTEGRATION; 4.4.1 Case 1: tRxn > tDiff 327 $a4.4.1.1 Forward time centered space (FTCS) differencing4.4.1.2 Backward time centered space (BTCS) differencing; 4.4.1.3 Crank-Nicholson method; 4.4.1.4 Alternating direction implicit method in two and three dimensions; 4.4.2 Case 2: tRxn << tDiff; 4.4.2.1 Operator splitting method; 4.4.2.2 Method of lines; 4.4.3 Dealing with Precipitation Reactions; 4.5 HEURISTIC RULES FOR SELECTING A NUMERICAL METHOD; 4.6 MESOSCOPIC MODELS; REFERENCES; 5 Spatial Control of Reaction-Diffusion at Small Scales: Wet Stamping (WETS); 5.1 CHOICE OF GELS; 5.2 FABRICATION 327 $aAPPENDIX 5A: PRACTICAL GUIDE TO MAKING AGAROSE STAMPS5A.1 PDMS Molding; 5A.2 Agarose Molding; REFERENCES; 6 Fabrication by Reaction-Diffusion: Curvilinear Microstructures for Optics and Fluidics; 6.1 MICROFABRICATION: THE SIMPLE AND THE DIFFICULT; 6.2 FABRICATING ARRAYS OF MICROLENSES BY RD AND WETS; 6.3 INTERMEZZO: SOME THOUGHTS ON RATIONAL DESIGN; 6.4 GUIDING MICROLENS FABRICATION BY LATTICE GAS MODELING; 6.5 DISJOINT FEATURES AND MICROFABRICATION OF MULTILEVEL STRUCTURES; 6.6 MICROFABRICATION OF MICROFLUIDIC DEVICES; 6.7 SHORT SUMMARY; REFERENCES 327 $a7 Multitasking: Microand Nanofabrication with Periodic Precipitation7.1 PERIODIC PRECIPITATION; 7.2 PHENOMENOLOGY OF PERIODIC PRECIPITATION; 7.3 GOVERNING EQUATIONS; 7.4 MICROSCOPIC PP PATTERNS IN TWO DIMENSIONS; 7.4.1 Feature Dimensions and Spacing; 7.4.2 Gel Thickness; 7.4.3 Degree of Gel Crosslinking; 7.4.4 Concentration of the Outer and Inner Electrolytes; 7.5 TWO-DIMENSIONAL PATTERNS FOR DIFFRACTIVE OPTICS; 7.6 BUCKLING INTO THE THIRD DIMENSION: PERIODIC 'NANOWRINKLES'; 7.7 TOWARD THE APPLICATIONS OF BUCKLED SURFACES; 7.8 PARALLEL REACTIONS AND THE NANOSCALE; REFERENCES 327 $a8 Reaction-Diffusion at Interfaces: Structuring Solid Materials 330 $aChange and motion define and constantly reshape the world around us, on scales from the molecular to the global. In particular, the subtle interplay between chemical reactions and molecular transport gives rise to an astounding richness of natural phenomena, and often manifests itself in the emergence of intricate spatial or temporal patterns. The underlying theme of this book is that by "setting chemistry in motion" in a proper way, it is not only possible to discover a variety of new phenomena, in which chemical reactions are coupled with diffusion, but also to build micro-/nanoarchitectures 606 $aReaction mechanisms (Chemistry) 606 $aReaction-diffusion equations 606 $aMicrotechnology$xMathematics 606 $aNanotechnology$xMathematics 615 0$aReaction mechanisms (Chemistry) 615 0$aReaction-diffusion equations. 615 0$aMicrotechnology$xMathematics. 615 0$aNanotechnology$xMathematics. 676 $a541.39 700 $aGrzybowski$b Bartosz A$0944203 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146148703321 996 $aChemistry in motion$92131322 997 $aUNINA LEADER 03212nam0 22006373i 450 001 VAN0249421 005 20230531091716.677 017 70$2N$a9783030584900 100 $a20220831d2020 |0itac50 ba 101 $aeng 102 $aCH 105 $a|||| ||||| 200 1 $aMaterials Phase Change PDE Control & Estimation$eFrom Additive Manufacturing to Polar Ice$fShumon Koga, Miroslav Krstic 210 $aCham$cBirkhäuser$cSpringer$d2020 215 $axiii, 352 p.$cill.$d24 cm 410 1$1001VAN0044798$12001 $aSystems & control: foundations & applications$1210 $aBoston [etc.]$cBirkhäuser 500 1$3VAN0249422$aMaterials Phase Change PDE Control & Estimation$92905470 606 $a80A22$xStefan problems, phase changes, etc. [MSC 2020]$3VANC021668$2MF 606 $a82-XX$xStatistical mechanics, structure of matter [MSC 2020]$3VANC021931$2MF 606 $a80-XX$xClassical thermodynamics, heat transfer [MSC 2020]$3VANC022357$2MF 606 $a93C20$xControl/observation systems governed by partial differential equations [MSC 2020]$3VANC022761$2MF 606 $a82B26$xPhase transitions (general) in equilibrium statistical mechanics [MSC 2020]$3VANC023338$2MF 606 $a93-XX$xSystems theory; control [MSC 2020]$3VANC027040$2MF 606 $a78A60$xLasers, masers, optical bistability, nonlinear optics [MSC 2020]$3VANC029030$2MF 606 $a35Q79$xPDEs in connection with classical thermodynamics and heat transfer [MSC 2020]$3VANC031156$2MF 606 $a35Q82$xPDEs in connection with statistical mechanics [MSC 2020]$3VANC033951$2MF 606 $a78A57$xElectrochemistry [MSC 2020]$3VANC036684$2MF 606 $a86A40$xGlaciology [MSC 2020]$3VANC037113$2MF 610 $a3d printing screw extruder$9KW:K 610 $a3d printing selective laser sintering$9KW:K 610 $aAdditive manufacturing$9KW:K 610 $aBackstepping control$9KW:K 610 $aLithium-ion battery system control$9KW:K 610 $aPDE control$9KW:K 610 $aPDE control moving boundaries$9KW:K 610 $aPDE fixed boundary$9KW:K 610 $aPartial differential equations$9KW:K 610 $aPhase change control system$9KW:K 610 $aPhase change model$9KW:K 610 $aSea ice model$9KW:K 610 $aState estimator design$9KW:K 610 $aStefan problem$9KW:K 610 $aTwo-phase Stefan problem$9KW:K 620 $aCH$dCham$3VANL001889 700 1$aKoga$bShumon$3VANV204015$0996173 701 1$aKrstic$bMiroslav$3VANV094962$0475300 712 $aBirkhäuser $3VANV108193$4650 712 $aSpringer $3VANV108073$4650 801 $aIT$bSOL$c20240614$gRICA 856 4 $uhttp://doi.org/10.1007/978-3-030-58490-0$zE-book ? Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o Shibboleth 899 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$1IT-CE0120$2VAN08 912 $fN 912 $aVAN0249421 950 $aBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA$d08CONS e-book 4731 $e08eMF4731 20220831 996 $aMaterials Phase Change PDE Control & Estimation$92905470 997 $aUNICAMPANIA