國立虎尾科技大學 |

Stochastic Dynamics and Irreversibility

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Stochastic Dynamics and Irreversibility/ by Tania Tome, Mario J. de Oliveira.
Author:	Tome, Tania.
other author:	de Oliveira, Mario J.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xii, 394 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Physics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-11770-6
ISBN:	9783319117706 (electronic bk.)

Stochastic Dynamics and Irreversibility
Tome, Tania.

Stochastic Dynamics and Irreversibility[electronic resource] /by Tania Tome, Mario J. de Oliveira. - Cham :Springer International Publishing :2015. - xii, 394 p. :ill., digital ;24 cm. - Graduate texts in physics,1868-4513. - Graduate texts in physics..

Random Variables -- Sequence of Independent Variables -- Langevin equation -- Fokker-Planck Equation I -- Fokker-Planck Equation II -- Markov Chains -- Master Equation I -- Master Equation II -- Phase Transitions and Criticality -- Reactive Systems -- Glauber Model -- Systems with Inversion Symmetry -- Systems with Absorbing States -- Population Dynamics -- Probabilistic Cellular automata -- Reaction-Diffusion Processes -- Random Sequential Adsoprtion -- Percolation.

This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomema both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.

ISBN: 9783319117706 (electronic bk.)

Standard No.: 10.1007/978-3-319-11770-6doiSubjects--Topical Terms:

564049
Physics.

LC Class. No.: QC5.53

Dewey Class. No.: 530.15

Stochastic Dynamics and Irreversibility
LDR:02673nam a2200325 a 4500 001 835467
003 DE-He213
005 20150721154503.0
006 m d
007 cr nn 008maaau
008 160421s2015 gw s 0 eng d
020 $a 9783319117706 (electronic bk.)
020 $a 9783319117690 (paper)
024 7 $a 10.1007/978-3-319-11770-6 $2 doi
035 $a 978-3-319-11770-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC5.53
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
082 0 4 $a 530.15 $2 23
090 $a QC5.53 $b .T656 2015
100 1 $a Tome, Tania. $3 1064790
245 1 0 $a Stochastic Dynamics and Irreversibility $h [electronic resource] / $c by Tania Tome, Mario J. de Oliveira.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
300 $a xii, 394 p. : $b ill., digital ; $c 24 cm.
490 1 $a Graduate texts in physics, $x 1868-4513
505 0 $a Random Variables -- Sequence of Independent Variables -- Langevin equation -- Fokker-Planck Equation I -- Fokker-Planck Equation II -- Markov Chains -- Master Equation I -- Master Equation II -- Phase Transitions and Criticality -- Reactive Systems -- Glauber Model -- Systems with Inversion Symmetry -- Systems with Absorbing States -- Population Dynamics -- Probabilistic Cellular automata -- Reaction-Diffusion Processes -- Random Sequential Adsoprtion -- Percolation.
520 $a This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomema both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.
650 0 $a Physics. $3 564049
650 0 $a Chemistry $x Mathematics. $3 785090
650 0 $a Mathematical physics. $3 527831
650 0 $a Thermodynamics. $3 596513
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Math. Applications in Chemistry. $3 673515
650 2 4 $a Nonlinear Dynamics. $3 783150
650 2 4 $a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 782247
700 1 $a de Oliveira, Mario J. $3 1064791
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Graduate texts in physics. $3 882738
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-11770-6
950 $a Physics and Astronomy (Springer-11651)