A New Formalism for Nonextensive Physical Systems: Tsallis Thermostatistics

Uğur TIRNAKLI; Fevzi BÜYÜKKILIÇ; Doğan DEMİRHAN

Makale detayları

A New Formalism for Nonextensive Physical Systems: Tsallis Thermostatistics

Yazarlar:

Uğur TIRNAKLI | Fevzi BÜYÜKKILIÇ | Doğan DEMİRHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.21-28

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

Türkçe

Document ID (Org No.):

2000763215

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

Although Boltzmann-Gibbs (BG) statistics provides a suitable  tool which enables us to handle a large number of physical systems  satisfactorily, it has some basic restrictions : (i) the range of the  microscopic interactions must be small compared to the linear size of  the macroscopic systems (short-range interactions) , (ii) the time  range of the microscopic memory must be small compared to the  observation time (Marcovian processes) and (iii) the system must  evolve in an Euclidean-like space-time.  In the case of a breakdown in  one and/or the others of these restrictions, BG statistics fails.   More precisely, the situation could be classified in a general manner  as follows: (i) For an Euclidean-like space-time, if the forces and/or  the memory are long-ranged, as far as we are interested in an  equilibrium state, the BG statistics is weakly violated, therefore BG  formalism can be used.  On the other hand, whenever a meta-equilibrium  state is considered, the BG statistics is strongly violated, hence  another formalism must be needed.  (ii) For a (multi)fractal space, BG  formalism is strongly violated again and a new formalism is needed.   The way out from these problems seems to be Nonextensive Statistical  Thermodynamics which must be a generalization of the BG statistics in  a manner that allows a correct description of the nonextensive  physical systems as well.  Recently a nonextensive thermostatistics  has been proposed by C.Tsallis to handle the nonextensive physical  systems and up to now, besides the generalization of some of the  conventional concepts, the formalism has been prosperous in some of  the physical applications.  In this study, our effort is to introduce  Tsallis thermostatistics in some details and to emphasize its  achievements on physical systems by noting the recent developments on  this line.

 

Although Boltzmann-Gibbs (BG) statistics provides a suitable  tool which enables us to handle a large number of physical systems  satisfactorily, it has some basic restrictions : (i) the range of the  microscopic interactions must be small compared to the linear size of  the macroscopic systems (short-range interactions) , (ii) the time  range of the microscopic memory must be small compared to the  observation time (Marcovian processes) and (iii) the system must  evolve in an Euclidean-like space-time.  In the case of a breakdown in  one and/or the others of these restrictions, BG statistics fails.   More precisely, the situation could be classified in a general manner  as follows: (i) For an Euclidean-like space-time, if the forces and/or  the memory are long-ranged, as far as we are interested in an  equilibrium state, the BG statistics is weakly violated, therefore BG  formalism can be used.  On the other hand, whenever a meta-equilibrium  state is considered, the BG statistics is strongly violated, hence  another formalism must be needed.  (ii) For a (multi)fractal space, BG  formalism is strongly violated again and a new formalism is needed.   The way out from these problems seems to be Nonextensive Statistical  Thermodynamics which must be a generalization of the BG statistics in  a manner that allows a correct description of the nonextensive  physical systems as well.  Recently a nonextensive thermostatistics  has been proposed by C.Tsallis to handle the nonextensive physical  systems and up to now, besides the generalization of some of the  conventional concepts, the formalism has been prosperous in some of  the physical applications.  In this study, our effort is to introduce  Tsallis thermostatistics in some details and to emphasize its  achievements on physical systems by noting the recent developments on  this line.

Makale detayları

A New Formalism for Nonextensive Physical Systems: Tsallis Thermostatistics

Yazarlar:

Uğur TIRNAKLI | Fevzi BÜYÜKKILIÇ | Doğan DEMİRHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.21-28

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

Türkçe

Document ID (Org No.):

2000763215

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Turk. J. Phys.

23

(1999)

21-28. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.23

iss.1.

Sayı

Makale detayları

A New Formalism for Nonextensive Physical Systems: Tsallis Thermostatistics

Yazarlar: Uğur TIRNAKLI | Fevzi BÜYÜKKILIÇ | Doğan DEMİRHAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.21-28

Belge Tipi: Makale

Yayın Tarihi: 12/1998

Belge Dili: Türkçe

Document ID (Org No.): 2000763215

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Turk. J. Phys.

23

(1999)

21-28. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.23

iss.1.

Sayı

Yazarlar:

Uğur TIRNAKLI | Fevzi BÜYÜKKILIÇ | Doğan DEMİRHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 1999 Vol.23 Issue 1, pp.21-28

Belge Tipi:

Makale

Yayın Tarihi:

12/1998

Belge Dili:

Türkçe

Document ID (Org No.):

2000763215

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101